4. building code does not permit building a house that is more than
35 feet tall. An architect working on the design shown at right would like
the roof to be sloped so that it rises 10 inches for each foot of horizontal
run.
(a) Given the other dimensions in the diagram, will the builder be allowed
to carry out his plan?
(b) Two vertical supports (shown dotted in the diagram) are to be placed
6 feet from the center of the building. How long should they be?

4. Building Code Does Not Permit Building A House That Is More Than35 Feet Tall. An Architect Working

Answers

Answer 1

The builder will be able to execute his idea based on the other measurements in the illustration.

Explain about the inches?

In the traditional system of measurement, one inch can be referred to as a unit of length. Inches of length are either denoted by in or by ". 5 inches, for instance, can be expressed as 16 inches or 16".

Initially, 1 inch was equal to the breadth of a man's thumb. In the 14th century, King Edward II of England decreed that 3 grains of barley laid end to end and lengthwise made up 1 inch.

Historically, there have been many different standards for what an inch is exactly, but since the international yard was adopted in the 1950s and 1960s, the inch has been based on the metric system and defined as precisely 25.4 mm.

Building codes prohibit the construction of homes that are taller than 35 feet.

The building is 22 feet tall in the diagram.

                  = 35 - 22

                  = 13 feet

so the builder is allowed to carry out is plan

To learn more about inches refer to:

https://brainly.com/question/24571594

#SPJ1

         


Related Questions

Question 20
A rectangular courtyard has a cement walkway around its perimeter. The area of the courtyard can be represented by the expression 24(5x - 1).
The area of the cement walkway can be represented by the expression 32(5x-1 + 8)- 24(5x-1). Write an equivalent expression that
represents the area of the cement walkway.square yards

Answers

Answer:

To find an equivalent expression for the area of the cement walkway, we can first distribute the 32 on the right side of the equation to get 32(5x-1 + 8) = 32(5x-1) + 32(8). Then, we can subtract the area of the courtyard, 24(5x-1), from this expression to get 32(5x-1) + 32(8) - 24(5x-1) = 8(5x-1) + 32(8). This is an equivalent expression that represents the area of the cement walkway in square yards.

Trapezoid PQRS is shown on the coordinate plane.
-10
40
s
e
O m/M>m/P
O m/M> m/Q
m/M = m/R
O m/M = m/S
R
10
If trapezoid PQRS is reflected across the y-axis and rotated 90° clockwise about the origin to form trapezoid KLMN, which must
be true?
H
Search
J

Answers

The true statement is (d) the angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid KLMN

How to determine the true statement?

From the question, we have the following parameters that can be used in our computation:

Trapezoid PQRS

The transformation is given as

Reflection across the y-axisRotation 90 degrees clockwise

As  a general rule of transformation, reflection and rotation are rigid transformations and they do not change the size and angles in a shape

This means that we get a congruent figure to that figure after the transformations

Thus, when PQRS is reflected and rotated 90° about the origin to form trapezoid KLMN, the trapezoid KLMN is congruent to trapezoid PQRS.

⇒  By the definition of congruence,

The corresponding sides and angle of trapezoid KLMN are congruent to that of trapezoid PQRS.

⇒ ∠P ≅ ∠K, ∠Q ≅ ∠L, ∠R ≅ ∠M and  ∠S ≅ ∠N

⇒ Option D) is correct.

Note:  KMLN is a trapezoid ⇒ Sum of the angle measures of trapezoid P'Q'R'S' is also 180°

Option A) is incorrect.

Since, trapezoid KMLN is congruent to trapezoid PQRS.

⇒ Option B) is incorrect.

We know that if two shapes are congruent then their area must be equal.

⇒ Area of trapezoid KMLN = Area of trapezoid PQRS

Thus, Option C) is incorrect.

Read more about transformation at

https://brainly.com/question/29744094

#SPJ1

Complete question

Trapezoid PQRS is shown on the coordinate plane. If trapezoid PQRS is reflected across the y-axis and rotated 90° clockwise about the origin to form trapezoid KLMN, which must

A) The sum of the angle measures of trapezoid PQRS is 180° less than the sum of the angle measures of trapezoid KLMN.

B) Trapezoid PQRS is not congruent to trapezoid KLMN

C) The area of trapezoid PQRS is less than the area of trapezoid KLMN

D) The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid KLMN

the beam is constructed from two boards fastened together at the top and bottom with three rows of nails spaced every 4 in.

Answers

the beam is constructed from two boards fastened together at the top and bottom with three rows of nails spaced every 4 in is[tex]487.5lb .[/tex]

Calculate the moment of inertia by using following expression,

\begin{aligned}

[tex]I & =\frac{1}{12} b d^3 \\& =\frac{1}{12} \times 6 \times(4)^3 \\& =32 \mathrm{in}^4\end{aligned}\\[/tex]

The centroid at center is,

[tex]\begin{aligned}Q & =\bar{y}_1 A \\& =1 \times 6 \times 2 \\& =12 \mathrm{in}^3\end{aligned}$$[/tex][tex]\begin{aligned}q & =\frac{V Q}{I} \\& =\frac{650 \times 12}{32} \\& =243.75 \mathrm{lb} / \mathrm{in}\end{aligned}$$[/tex]

The shear flow is,

[tex]\begin{aligned}q & =\frac{V Q}{I} \\& =\frac{650 \times 12}{32} \\& =243.75 \mathrm{lb} / \mathrm{in}\end{aligned}[/tex]

Since, there is 3 rows of nails so the shear force resisted by each nail is,

[tex]\begin{aligned}\tau & =\frac{1}{3} q s \\& =\frac{1}{3} \times 243.75 \times 6 \\& =487.5 \mathrm{lb}\end{aligned}$$[/tex]

Therefore, the shear force resisted by each nail is 487.5

[tex]487.5lb .[/tex]

To learn more about beam visit:

https://brainly.com/question/14228527

#SPJ4

In which of the following cases is the construction of a triangle ABC possible?
(a) AB = 4cm, CA= 3cm, BC=1cm
(b) AB= 8cm, CA= 10cm, BC=8 cm
(c) AB= 7cm, BC= 10cm, CA=8 cm

Answers

By using the property of triangle, it can be calculated that-

A triangle is possible for case b) and c)

What is a triangle?

A triangle is a three sided two dimensional figure. A triangle has three sides and three interior angles.

We know that sum of two sides of a triangle is always greater than the third side

For a)

CA + BC = 3 + 1 = 4 which is not greater than AB = 4

A triangle is not possible in this case

For b)

CA + BC = 10 + 8 = 18 > AB = 8 cm

AB + AC = 8 + 10 = 18 > BC = 8cm

AB + BC = 8 + 8 = 16 > AC = 10 cm

A triangle is possible in this case

For b)

CA + BC = 8 + 10 = 18 > AB = 7 cm

AB + AC = 7 + 8 = 15 > BC = 10cm

AB + BC = 7 + 10 = 17 > AC = 8 cm

A triangle is possible in this case

So a triangle is possible for case b) and c)

To learn more about triangle, refer to the link-

https://brainly.com/question/1058720

#SPJ1

The equation for line c can be written as y=-3/7x+4. Perpendicular to line c is line d, which passes through the point (2,4). What is the equation of line d?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Answers

The equation of the perpendicular line is y = (7/3)x - 2/3. And the slope of the line is 7/3.

What is the equation of a perpendicular line?

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given below.

y = -(3/7)x + 4

The equation of the line that is perpendicular to y = -(3/7)x + 4 will be given as,

y = (7/3)x + d

The equation passes through (2, 4) will be given as,

4 = (7/3) × 2 + d

c = - 2/3

Then the equation of the perpendicular line is given as,

y = (7/3)x - 2/3

More about the equation of a perpendicular line link is given below.

https://brainly.com/question/14200719

#SPJ1

in exponential smoothing, if you would like to see the overall long-term tendency of the series, set a small weight, close to 0. group of answer choices true false

Answers

in exponential smoothing, if you would like to see the overall long-term tendency of the series, set a small weight, close to 0 is True statement.

In exponential smoothing, a weight is assigned to each data point in the series.

If a small weight is assigned, close to 0, it means that the more recent data points will have a lesser influence on the overall result.

This will therefore show the overall long-term tendency of the series.

in exponential smoothing, if you would like to see the overall long-term tendency of the series, set a small weight, close to 0 is True statement.

Learn more about exponential here

https://brainly.com/question/28596571

#SPJ4

Which formula is correct formatting for a nested function? =and(b2>3000,c2>2000,"bonus","no bonus") =if(and(b2>3000,c2>2000),"bonus","no bonus") =ifand(b2>3000,c2>2000,"bonus","no bonus") =if(=and(b2>3000,c2>2000),"bonus","no bonus")

Answers

Correct formatting for a nested function is

=IF(AND(B2>3000,02>2000),"Bonus","No Bonus")

A nested If statement is used when 1 or more conditions are to be tested. The result of the nested function depends based on the true value of the function.

i.e. If the nested statement is true, certain operations are to be done otherwise, do something else. In other words, the IF function allows you to make a logical comparison between a value and what you expect by testing for a condition and returning a result if True or False.

The syntax of a nested function goes thus

IF( condition1, value_if_true1, IF( condition2, value_if_true2, value_if_false2 ))

This would be equivalent to the following in Excel

= IF(condition1,"value_if_true",value_if_false)

Base on the above explanation, only option B is right.\

And what it does is that

it checks if cell B2 is greater than 3000 AND cell 02 is greater than 2000.

If both statement are true, "Bonus" will be the output result

If one ore both statement are false, "No Bonus" will be the output result

To learn more about function visit

https://brainly.com/question/21145944

#SPJ4

Answer: B

Step-by-step explanation:

i just did it

Please help me respond this

Answers

Option 2 is correct that is 1.79

What is third quartile ?

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

To know more about third quartile click the link:

brainly.com/question/24329548

#SPJ1

Which of the following expressions will have a product greater than 4? four times ninety-nine hundredths four times eight-eighths three-fourths times four one hundred and one-one hundredths times four

Answers

The correct expression that has a product greater than 4 is one hundred and one hundredths times four.

What is an expression?A mathematical expression is a sentence with at least two numbers or variables and at least one mathematical operation. Math operations include addition, subtraction, multiplication, and division.The most common type of algebraic expression is a monomial expression. A binomial expression. A polynomial expression.

There are four expressions given as

(a) four hundredths of a percent

= 4 × 99/100

= 4 × 0.99

= 3.96

(b) four times the eighth

= 4 × 8/8

= 4 × 1

= 4

(c) four times three-fourths

= 3/4 × 4

= 3

(d) one hundred and one hundredths multiplied by four

= 1.01 × 4

= 4.04

As a result, the expression with a product greater than four is one hundred and one hundredths times four.

To learn more about expressions refer to :

brainly.com/question/1859113

#SPJ1

Can you please help me?

Answers

Answer:

The smallest angle is COD

Step-by-step explanation:

Angle AB = 180°

so

180 = 2a + 62 + 54 - a + 5a - 20

180 = 6a + 96

180 - 96 = 6a

84 = 6a

a = 14

find angle  AOC

2a + 62 =

2 * 14 + 62 =

28 + 62 =

90°

find angle COD

54 - a =

54 - 14 =

40°find angle DOB

5a - 20 =

5 * 14 - 20 =

70 - 20 =

60°

How much does it cost to buy 1500g of cornflakes?

Answers

Answer:

£2.94

Step-by-step explanation:

1500g = 750g x 2 = 2 boxes

£1.96 = price for 1 box

÷ by 2 = 98p

add that to £1.96 = £2.94

how i can do this? (7-i)(7+i)

Answers


You can do the box method A or foil method B. Both will give you the same answer. Remember thst -i^2 is always 1 that’s how we got 50. By combining like terms, 7i & -7i will get canceled out.

Find the volume of the given prism.

Answers & photo below



a. 64,288 ft3

b. 1,312 ft3

c. 2,009 ft3

d. 23,208 ft3

Answers

The volume of the cuboid is 64288 ft³

Volume of Cuboid

Volume of cuboid is the total space occupied by the cuboid in a three-dimensional space. A cuboid is a three-dimensional structure having six rectangular faces. These six faces of the cuboid exist as a pair of three parallel faces. Therefore, the volume is a measure based on the dimensions of these faces, i.e. length, width and height.

The formula of volume of a cuboid is given by

V = L * W * H

v = volume of cuboidl = length of cuboidw = width of cuboidh = height of cuboid

Substituting the values into the formula;

v = 41 * 32 * 49

v = 64288 ft³

The volume is 64288 ft³

Learn more on volume of a cuboid here;

https://brainly.com/question/22694657

#SPJ1

The option that indicates the correct volume of the rectangular prism in the photo that has the dimensions of length, 41 feet, width, 32 feet, and height, 49 feet is option a.

a. 64,288 ft³

What is a rectangular prism?

A rectangular prism is a solid that has six rectangular faces, and twelve edges, in which each face has a parallel and congruent face on the opposite side of the prism, that has eight corners.

The dimensions of the rectangular prism in the question are;

Length of the rectangular prism = 41 feet

Width of the rectangular prism box = 32 feet

Height of the prism = 49 feet

The volume, V, of the rectangular prism is the product of the width, the length and the height as follows;

Volume of a rectangular prism, V = Width × Length × Height

The volume of the rectangular prism in the question is therefore;

V = 32 feet × 41 feet × 49 feet = 64,288 feet³

The volume of the rectangular prism in the question is; 64,288 ft³

Learn more about rectangular prisms here:

https://brainly.com/question/3789826

#SPJ1

A vertical number line is given. A vertical number line starting at negative 9 with tick marks every one-half unit up to 2. The value negative 5.5 is labeled. The change in the value of a stock was plotted on a number line in the image. If 0 represents the original cost, which of the following is true about the plotted value? The stock is −5.5 less than the original value, and the absolute value is 5.5. The stock is 5.5 less than the original value, and the absolute value is 5.5. The stock is −5.5 greater than the original value, and the absolute value is 5.5. The stock is 5.5 greater than the original value, and the absolute value is 5.5.

Answers

The correct statement about the plotted value on the number line is given as follows:

The stock is 5.5 less than the original value, and the absolute value is 5.5.

How to interpret the number line and the value plotted?

The value plotted on the number line is given as follows:

-5.5.

The fact that the value is negative means that the stock is now less than the original amount, and the amount that it is less is the absolute value of the number plotted.

The absolute value of a number is represented by the number without the signal, hence the absolute value of -5.5 is given as follows:

|-5.5| = 5.5.

(just removed the negative symbol).

Hence the second statement is correct about the interpretation of the number line in this problem.

More can be learned about number lines at https://brainly.com/question/24644930

#SPJ1

when we use the word automobile to refer to a category of transport vehicles, we are using this word as a(n)

Answers

When we use the word automobile to refer to a category of transport vehicles, we are using this word as a concept. The correct answers is concept

A concept is an abstract idea that takes form in your mind. This is known as the structures of thoughts and beliefs. They are important because it gives a clear explanation of a particular subject.

An automobile, byname auto, also called motorcar or car, a usually four-wheeled vehicle designed primarily for passenger transportation and commonly propelled by an internal-combustion engine using a volatile fuel, this term is generally used for an vehicle when refering to its category.

When we think of the word automobile, the first thing that comes to your mind is a category of transport. The mind connects the thoughts around the structures build. That’s a concept

Thus, when we use the word automobile to refer to a category of transport vehicles, we are using this word as a concept.

To learn more about abstract idea refer here

https://brainly.com/question/13291061

#SPJ4

please help i dont know the answer

Answers

Answer:

Step-by-step explanation:

do your work ok you go it  and who still do ixl

a statistics student made the following grades on the first 7 tests: 76, 80, 91, 94, 78, 85. 90. what is her median score for the whole semester?(chapter 3) a. 85 b. 90 c. 91 d. 94

Answers

The median score for the whole semester is 85. Thus, option a is correct.

It is given to us that -

The grades on first 7 tests of a statistics student are -

76, 80, 91, 94, 78, 85. 90

We have to find out the median score for the whole semester.

To find out the median, we have to first arrange the grades in ascending order from lowest to highest. Thus, arranging them in ascending order, we have -

76, 78, 80, 85, 90, 91, 94

Now, from this arrangement from lowest to highest, the median can be found out as the middle number in the given order which is equal to 85.

Therefore, the median score for the whole semester is 85. Thus, option a is correct.

To learn more about median visit

https://brainly.com/question/28060453

#SPJ4

Find the measure of each angle indicated.

A. 84 degree
B. 96 degree

Please help!!!

Answers

These angles are alternate interior angles, so they are equal

Answer : 84 degree

Answer:

84 Degrees

Step-by-step explanation:

This is because they are alternate interior angles

Which means they are both the same angle and are both inside the parallel line

8n +9=7n+15 please solve this for me??

Answers

Answer:

n=2/5

Step-by-step explanation:

look it up

Answer:

n = 6

Step-by-step explanation:

8 x 6 = 48

48 + 9 = 57

=

7 x 6 = 42

42 + 15 = 57

So n = 6

Find the measure of each angle indicated.

A. 100 degree
B. 80 degree

Help!!!

Answers

Answer:

B. 80 degree

Step-by-step explanation:

These angles are same-side interior angles. Which means both angles have to add up to 180 degrees. One angle is 100 degrees; the other must be 80 degrees!

These angles are consecutive or same side interior angles, so they add up to 180°.

Answer: 80 degree

(100 + 80 = 180)

Given a quadratic with vertex of (-4,1) and point (-3,3) write the equation of the function in general form

Answers

The general form of an equation having vertex and point is y=a(x-h)²k. Then, the general form equation with the vertex of (-4,1) and point (-3,3) is y=3x²+24x+48.

The vertex form is an alternative way to state a parabola's equation. The equation y=a(x-h)²k is the formula for this, where k denotes the vertical translation, h is the horizontal translation, and a is a vertical stretch factor.

Here, given the vertex (h,k) is (-4,1) and the point (x,y) is (-3,3)

Start by substituting the values of h and k in the vertex equation, we get,

y=a(x+4)²(1)

Given that the point where the vertex meets is (-3,3). If we substitute this point into the equation above, we obtain,

3=a(-3+4)

a=3

To obtain the general form, now substitute the values of a and (h,k) in the vertex equation. We get,

y=3(x+4)²

y=3(x²+8x+16)

y=3x²+24x+48

Therefore, the required answer is y=3x²+24x+48.

To know more about vertex:

https://brainly.com/question/29045882

#SPJ4

There are 8 grams of sugar in 1 portion of a certain cereal. How is the amount of sugar
related to the number of portions of cereal?

Answers

Answer:

y = 8x

Step-by-step explanation:

The amount of sugar in grams is 8 times the number of portions.

For example, 1 portion has 8 grams of sugar.

Two portions have 16 grams of sugar.

If you let y = number of grams of sugar and x = number of portions, then

y = 8x

Which statements are true about the linear inequality y > 3/4x-2? Select three options.

Answers

The linear inequality y > 3/4x - 2 is true about the graph passes through the x - axis at 2.67, the graph passes through the y - axis at -2  and the graph has a straight broken line to denote the ">" inequality sign.

What is Linear Inequality?

Linear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another algebraic expression of degree less than or equal to 1. To represent various kinds of linear inequalities.

In the given, we can represent this on a graph.

The graph of y > 3/4x - 2 shows these properties

The graph passes through the x - axis at 2.67 and the y - axis at -2

The graph has a straight broken line shows the ">" inequality sign.

The correct option is A.

Learn more on linear inequality here;

brainly.com/question/25839052

#SPJ1

Complete Question:

Which of the statement are true about the linear inequality y > 3/4x - 2

I. The graph has a broken line

II. The graph has an unbroken line

III. The graph passes through y - axis at -2

IV. The graph passes through the x - axis at 2.67

Someone needs help with my homework, help me! Can you fill in the blinks of Angle chase?

Answers

Answer:

in order of going down:
1) 77
2) 103
3) 77
4) 37
5) 53

Step-by-step explanation:

Answer:

77°

103°

77°

37°

Step-by-step explanation:

The outer quadrilateral in black is a rectangle because of the angles it has at the vertices.

Look at the upper green line. It intersects the vertical sides of the outer rectangle.

The upper green line intersects the left vertical segment of the outer rectangle at a 103° angle. That makes the top yellow box 77°.

The top yellow box is an angle of a quadrilateral.

360 - 77 - 66 - 114 = 103

The second yellow box is 103°.

The third yellow box is 77°.

The bottom yellow box is 180 - 66 - 77 = 37°

The base of a triangle is √20 cm and its height is√8 cm. Find its area. Write your answer in simplified radical form.

Answers

Answer: the area of the triangle is (1/2) * √20 cm

Step-by-step explanation:

The area of a triangle is equal to one half of the product of the base and the height. In this case, the base of the triangle is √20 cm and the height is √8 cm, so we can find the area by doing this:

Area = (1/2) * (√20 cm) * (√8 cm)

To simplify this expression, we can first multiply the numerator and denominator by the square root of the denominator:

Area = (1/2) * (√20 cm * √8 cm) / (√8 cm)

This gives us:

Area = (1/2) * (√160 cm^2) / (√8 cm)

Now we can cancel out the square root of 8 in the numerator and denominator:

Area = (1/2) * √160 cm^2 / √8 cm

Area = (1/2) * √20 cm

Thus, the area of the triangle is (1/2) * √20 cm, which is the simplified radical form of the answer.

Answer:   [tex]2\sqrt{10} \ \ \text{square cm}[/tex]

==================================================

Work Shown:

[tex]\text{area} = 0.5*\text{base}*\text{height}\\\\\text{area} = 0.5*\sqrt{20}*\sqrt{8}\\\\\text{area} = 0.5*\sqrt{20*8}\\\\\text{area} = 0.5*\sqrt{160}\\\\\text{area} = 0.5*\sqrt{16*10}\\\\\text{area} = 0.5*\sqrt{16}*\sqrt{10}\\\\\text{area} = 0.5*4*\sqrt{10}\\\\\text{area} = 2\sqrt{10}\\\\[/tex]

The area units are in square centimeters.

----------------------------

Explanation:

As the steps above indicate, I used this rule

[tex]\sqrt{A*B} = \sqrt{A}*\sqrt{B}[/tex]

This is to combine the roots in the 3rd step, but also to pull them apart in the 6th step. The idea is to pull out the largest perfect square factor to simplify the square root.

A teacher makes an annual salary of $65,800.
If the income tax withholding is 14%, how
much income tax is paid?

Answers

The income tax can be paid by the teacher =$ 9212.

What is income tax:

An income tax is a sort of tax that is levied on the earned and unearned income of an individual or corporation.

For instance, the United States levies a federal income tax on its residents, regardless of where they reside—in the country or overseas. The majority of the money the US government receives comes from this income tax.

Here we have

The annual salary of a teacher is $ 65,800

The rate of income tax = 14%

The income tax can be paid = 14% of 65800  

=> [tex]\frac{14}{100} \times 65800[/tex]

= [tex]14 \times 658[/tex]

= 9212

Therefore,

The income tax can be paid by the teacher =$ 9212  

Learn more about Income tax problems at

https://brainly.com/question/20085616

#SPJ1

I NEED HELP PLS!!!!
Reese is installing an in-ground rectangular pool in her backyard. Her pool will be 30 feet long, 14 feet wide, and have an average depth of 8 feet. She is installing two pipes to bring water to fill the pool; these pipes will also be used to drain the pool at the end of each season. One pipe can fill and drain the pool at a rate that is 1 more than 2 times faster than the other pipe. If both pipes are open and working properly, it will take 3.5 hours to fill the pool.

Use this information and what you know about solving rational equations to answer the questions below.

1. When Reese opens the pipes to fill the pool, she finds that only the slower pipe is working. Write a rational equation that you can use to find out how long it will take to fill the pool under these circumstances. Explain how you came up with your equation.

2. Solve the equation that you wrote in question 1. You can round your final answer(s) to the nearest hundredth. Show all your work.

3. Interpret your answer(s) to question 2 in context of the problem. What do the number(s) represent?

Answers

The slower pipe if working alone can fill the tank in 10.5 hours.

What is the volume of a cuboid?

A cuboid is a three-dimensional solid that has 6 faces (rectangular), 8 vertices, and 12 edges. A cuboid has three dimensions such as length, width, and height. A perfect cuboid is said to be a cuboid that has integer edges and the formula for its volume is: V = length ×breadth× width

Given here dimensions of the swimming pool as 30 feet long, 14 feet wide, and an average depth of 8 feet, therefore the volume of the swimming pool V = 30×14×8

  = 3360 feet³

Again the two pipes working together can fill the pool in 3.5 hours and let their speeds 2x and x then, their relative speed = 3x

thus we have 3.5 = 3360/3x

                  ⇒   x  = 320 feet³/hr

Therefore the individual speeds are equal to 320 feet³/hr and 640 feet³/hr

Accordingly, the time taken by the slower pipe to fill the entire tank alone is = 3360/320

             = 10.5 hours

Hence, the time taken by the slower pipe is 10.5 hours

Learn more about time and work here:

https://brainly.com/question/3854047

#SPJ1

Statistics problem: Independent, find this P(A and B) =
Event A has probability 0.4. Event B has probability 0.5 If A and B are independent, then the probability that both events occur is

A) 0.0
B) 0.9
C) 0.7
D) 0.2
E) 0.1

Answers

The probability P(A and B) has a value of (d) 0.2

How to determine the probability?

From the question, we have the following parameters that can be used in our computation:

Event A has probability 0.4. Event B has probability 0.5

These mean that

P(A) = 0.4

P(B) = 0.5

From the question, we have

The events are independent events

This means that

P(A and B) = P(A) * P(B)

So, we have

P(A and B) = 0.4 * 0.5

Evaluate

P(A and B) = 0.2

Hence, value is 0.2

Read more about probability at

brainly.com/question/251701

#SPJ1

Write an equation for the line parallel to the given line that contain C. C(2,4)​;

Answers

An equation for the line parallel to the given line that contains C(2,4) is y = (3/4)x + (1/2).

We may use the slope-intercept version of the expression of a line, which is provided by "y = mx + b," where m seems to be the slope of the line & b is the y-intercept, to express the linear function that is perpendicular to a given line as well as contains a particular point.

We may easily utilize the same value of m again for the equation of a parallel line if the slope-intercept form of a line's equation is provided. For instance, if the provided line's equation is "y = 2x + 1," a parallel line's equation would be "y = 2x + c," where c is a constant.

By restructuring the equation in slope-intercept form if the equation of a line is provided in another form, such as "ax + by + c = 0," it is possible to determine the slope of the line. If the expression of the single sequence is "3x - 4y + 5 = 0," for instance, we may rewrite it in slope-intercept form by focusing just on y on one side of the equation:

3x - 4y + 5 = 0

-4y = -3x - 5

y = (3/4)x + (5/4)

The slope of the line is 3/4.

4 = (3/4)(2) + b

4 = (3/2) + b

b = 4 - (3/2)

b = (4 - 3/2)

b = (4 - 3)/2

b = (1/2)

Learn more about the equation of line at

https://brainly.com/question/29188867

#SPJ4

Yeterday,255 guet at a hotel went kiing, and 170 guet did not go kiing, What percentage of guet at thi hotel went kiing yeterday?

Answers

The percentage of the guests at this hotel who called for room service yesterday is 40%

When provided,

170 visitors in total requested room service.

The total number of visitors who did not request room service was 255.

We can now determine the overall number of guests.

Total guests equal (total guests who requested room services) plus (total number of guests who did not call for room services)

so,

there are overall guests of

=170+255

=425

We can now find the percentage

the proportion of visitors to this hotel who requested room service yesterday is

170/425 *100%

=40

The percentage of the customers at this hotel who called for room service yesterday is 40%.

Find out more on Percentage at:

https://brainly.com/question/24877689

#SPJ4

Other Questions
according to the zippo standard, websites that provide information but do not provide the opportunity to conduct online transactions are deemed to be passive and do not create personal jurisdiction over the defendant company that operates the site. 10 Points! please help! There are 21 pieces of sports equipment at the gym. The ratio of volleyballs to handballs is 2 : 1 . How many volleyballs and handballs are at the gym? the initials eft stand for a. electronic financing for teens. b. education for legal tender. c. educated financing transactions. d. electronic funds transfer. Q is the average of A,B and C whrite a formula for calculating Q and then to solve A Who plays Santa in The Santa Clause? the accompanying data file shows the average monthly debt payments (debt in $) for residents of 26 metropolitan areas. what film did john williams not score the movie for? * 2 points e.t. the extra-terrestrial superman jurassic park inception the mm theory with taxes implies that firms should issue maximum debt. in practice, this does not occur because: question 10 options: debt is more risky than equity. bankruptcy is a disadvantage to debt. the weighted average cost of capital is directly related to the debt-equity ratio. the weighted average cost of capital is inversely related to the debt-equity ratio. u.s. regulations require the debt-equity ratio of publicly-traded firms to be in the range of .3 to .7. Meteorologists in Texas want to increase the amount of rain delivered by thunderheads by seeding the clouds. Without seeding, thunderheads produce, on average, 300 acrefeet. The meteorologists randomly selected 29 clouds which they seeded with silver iodide to test their theory that average acrefeet is more.What conclusion can they reach based on the above output when they set the significance level to be 0.10?a.The data does not provided statistical evidence that the average acrefeet from seeded clouds is more than 300.b.The data does provide statistical evidence that the average acrefeet from seeded clouds is more than 300.c.The data does not provided statistical evidence that the sample average acrefeet from seeded clouds is more than 300.d.Two of the above are correct.e.We can not draw conclusions based on the above statistical output because the conditions are not met due to the extreme out Find the value of x and y . x=__y=___ The kidneys remove ______ from the blood. a. oxygen b. urea c. cells d. carbon dioxide complete and balanced the precipitation reaction . include physical states in your answe.CuCl2(aq)+ Na2CO3(aq) > .............. + ............. ? How do I keep my Christmas tree alive longer? What part of ton is a gram? 1- A pg 31) Which phrase from the passage is an example of an oxymoron?A. "reverent tone" B. Desperate pleaC. deafening silenceD. curious spectators What part of Macbeths plan is not carried out? Who escapes? What problem does thiscause for Macbeth? Select all the expressions that are equal to2/3 to power of 2 4/9 , 4/3, 1/9 x 4 , 1/3 x 1/3, 2/3 x 2/3 The supreme achievement of Greek architecture was the temple. In imperial Rome, or in any typical city of the Roman Empire, the most extensive and imposing buildings were secular, or nonreligious. Those included the basilicas, baths, amphitheaters, porticoes, and aqueducts. In Athens, on the other hand, or in any typical Greek city, there was little or nothing to compete with the temples and the sacred places associated with them. Public secular buildings, of course, there were. However, the little we know of them does not suggest that they often ranked among the architectural glories of the country. Private houses were in the best period of small pretensions. It was to the temple and its adjunct buildings that the architectural genius and the material resources of Greece were devoted. It is the temple, then, which we have above all to study. Before beginning, however, to analyze the artistic features of the temple, it will be useful to consider the building materials which a Greek architect had at his disposal and his methods of putting them together. Greece is richly provided with good building stone. At many points there are inexhaustible stores of white marble. The island of Paros, one of the Cyclades, and Mount Pentelicus in Attica are simply masses of white marble, suitable as well for the builder as the sculptor. There are besides various beautiful colored marbles, but it was left to the Romans to bring these into use. Then there are many commoner sorts of stone ready to the builder's hand, especially the rather soft, brown limestones which the Greeks called by the general name of poros. This material was not rejected, even for important buildings. Thus the Temple of Zeus at Olympia, one of the two most important religious centers in the Greek world, was built of local poros. The same was the case with the numerous temples of Acragas (Girgenti) and Selinus in Sicily. An even meaner material, sun-dried brick, was sometimes, perhaps often, employed for cella walls. Where poros or crude brick was used, it was coated over with a very fine, hard stucco, which gave a surface like that of marble. It is remarkable that no use was made in Greece of baked bricks before the period of Roman domination. Roof-tiles of terra-cotta were in use from an early period, and Greek travelers to Babylonia brought back word of the use of baked bricks in that country. Nevertheless Greek builders showed no signs of wanting to adopt baked bricks for their masonry. Many subtle curves and sloping lines demonstrate the extraordinary nicety of Greek workmanship. A column of the Parthenon, with its inclination and its fluting, could not have been constructed without the most conscientious skill. In fact, the capabilities of the workmen kept pace with the demands of the architects. No matter how delicate the adjustment to be made, the task was perfectly achieved. And when it came to the execution of ornamental details, these were done with a free hand and with fine artistic feeling. The wall-band of the Erechtheum is one of the most exquisite things which Greece has left us. Simplicity in general form, harmony of proportion, refinement of line-these are the great features of Greek columnar architecture. One other type of Greek building, into which the column does not enter, remains to be mentioned-the theater. Theaters abounded in Greece. Every considerable city had at least one, and the ruins of these structures rank with temples and walls of fortification among the commonest classes of ruins in Greek lands. But in a sketch of Greek art they may be rapidly dismissed. That part of the theater which was occupied by spectators-the auditorium-was commonly built into a natural slope. There was no roof. The building, therefore, had no exterior, or none to speak of. Such beauty as it possessed was due mainly to its proportions. There was opportunity for elegance as well as convenience in the form given to the stone or marble seats with which the auditorium was provided.This passage is from page 77 of A History of Greek Art by F. B. Tarbell.Read the following sentence from the passage.It was to the temple and its adjunct buildings that the architectural genius and the material resources of Greece were devoted.Which two sentences correctly paraphrase the sentence?A.Resources in Greece were most often used to build temples and their supporting structures (Tarbell 77).B.The architectural genius and the material resources of Greece were devoted to the temple and its adjunct buildings (Tarbell 77).C.Greece mainly took advantage of its most talented architects and other assets to focus on building temples and their surrounding buildings (Tarbell 77).D.It was to build the temple and its adjunct buildings that the architectural genius and material resources were devoted (Tarbell 77).E.The material resources of Greece were devoted to the temple and the surrounding buildings (Tarbell 77). term to term rules: un+1=un^3+2u0=-3a)u1b)u2 Which of the following organisms are ectothermic, or rely on the temperature of their environment to maintain their internal body temperature? Choose all that apply.a)fishb)iguanasc) sea ottersd)whalese)camels