PLEASE HELP ASAP!!!!!!!

Problem #4

A. Draw a scaled copy of the circle using a scale factor of 2.

B. How does the circumference of the scales copy compare to the circumference of the original circle?

C. How does the area of the scaled copy compare to the area of the original circle?

(I don’t need to do 5)

PLEASE HELP ASAP!!!!!!!Problem #4 A. Draw A Scaled Copy Of The Circle Using A Scale Factor Of 2. B. How

Answers

Answer 1

The circumference of the scaled circle is half the circumference of the original circle and the area of the scaled circle is half the area of the original circle.

What is the scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2. The new figure we receive will resemble the first figure, but every dimension will be double that of the first rectangle. The scale factor in this case will be denoted by the number 2.

Let us take the radius of the circle to be r

We know that circumference = 2πr and the area of a circle is πr²

As, Scale factor = Original circle / Scaled circle

From the question, scale factor = 2

Thus,

2 = Circumference of the Original circle / Circumference of the Scaled circle.

Circumference of the Scaled circle = (1/2) * Circumference of the Original circle

For the area as well, scale factor = 2

2 = Area of the Original circle / Area of the Scaled circle

Area of the scaled circle = (1/2) * Area of the original circle

Thus,

The circumference of the scaled circle is half the circumference of the original circle and the area of the scaled circle is half the area of the original circle.

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Answer 2

The circumference of the scaled circle is half the circumference of the original circle and the area of the scaled circle is half the area of the original circle.

What is the scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2. The new figure we receive will resemble the first figure, but every dimension will be double that of the first rectangle. The scale factor in this case will be denoted by the number 2.

Let us take the radius of the circle to be r

We know that circumference = 2πr and the area of a circle is πr²

As, Scale factor = Original circle / Scaled circle

From the question, scale factor = 2

Thus,

2 = Circumference of the Original circle / Circumference of the Scaled circle.

⇒ Circumference of the Scaled circle = (1/2) * Circumference of the Original circle

For the area as well, scale factor = 2

2 = Area of the Original circle / Area of the Scaled circle

⇒ Area of the scaled circle = (1/2) * Area of the original circle

Thus,

The circumference of the scaled circle is half the circumference of the original circle and the area of the scaled circle is half the area of the original circle.

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Related Questions

Evaluate f(x)=2x+5 when x=0, x=1, x=5

Answers

Th value of the equation f ( x ) is given as

when x = 0 , f ( 0 ) = 5

when x = 1 , f ( 1 ) = 7

when x = 5 , f ( 5 ) = 15

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given as

f ( x ) = 2x + 5

Now , the values of the function f ( x ) can be determined when we substitute for the values for x in the equation

So , in order to find f ( 0 ) , substituting the value for x as x = 0, we will get the value for the function

a)

when x = 0

The equation is f ( x ) = 2x + 5

f ( 0 ) = 2 x 0 + 5

f ( 0 ) = 5

So , the value of f ( 0 ) = 5

b)

when x = 1

The equation is f ( x ) = 2x + 5

f ( 0 ) = 2 x 1 + 5

f ( 0 ) = 7

So , the value of f ( 0 ) = 7

c)

when x = 5

The equation is f ( x ) = 2x + 5

f ( 0 ) = 2 x 5 + 5

f ( 0 ) = 15

So , the value of f ( 0 ) = 15

Therefore , the values of the equations are f ( 0 ) = 5 , f ( 1 ) = 7 , f ( 5 ) = 15

Hence ,

Th value of the equation f ( x ) is given as

when x = 0 , f ( 0 ) = 5

when x = 1 , f ( 1 ) = 7

when x = 5 , f ( 5 ) = 15

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Ordered pairs of -3x + y < 11

Answers

The order pair will be greater than (-2,5) because when substituted the value (-2,5) will give 11 that will be false.

What is ordered pair?

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers. Two variables are frequently represented by ordered pairs. (x, y) = (7, - 2) means that x = 7 and y = -2. The x-coordinate is the number that corresponds to the value of x, and the y-coordinate is the number that corresponds to the value of y.

Here,

The given inequality,

-3x+y<11

at (0,0)

0<11

it is true.

at (1,1)

-3+1<11

-2<11

it is true.

Because 11 will be false when the value (-2,5) is substituted, the order pair will be greater than (-2,5).

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Solve for x. 1+|2+x|=9

Answers

Answer: 6

Step-by-step explanation:

Remember:

Anything in | | is considered positive.

Simplified:

1+2+x=9

3+x=9

Solve for x:

x=9-3

x=6

Move constant
|2+x|=8

Absolute value for both equation
2+x=6
2+x=-8

Solution

X1=-10, x2=6



May I have Brainly

18 (a) Reflection: in the x-axis (b) Rotation: 180° 19 20 21 22 Triangle DEF with vertices D(-6, -1), E(-3, -2) and F(-5, -7):

(a)Reflection: in the x-axis
(b) Rotation: 180°​

Answers

The vertices after reflection will be (-6, 1), (-3, 2), (-5, 7) and the vertices after rotation of 180° will be (6, 1), (3, 2), (5, 7).  

What is the reflection of points?

A form of Euclidean space isometry in geometry is called a point reflection, also known as a point inversion, center inversion, or asymmetry through a point.

An object is said to have point symmetry if it is unchanged under a point reflection, and central symmetry or being centrally symmetric if it is invariant below a point reflective thinking through its center.

As per the given information in the question,

The given vertices of the triangle are:

D(-6, -1), E(-3, -2), F(-5, -7).

a.

The equation towards reflection in the x-axis: (x, -y)

D = (-6, -1)

Reflected vertex = (-6, 1)

E = (-3, -2)

Reflected vertex = (-3, 2)

F = (-5, -7)

Reflected vertex = (-5, 7)

b.

Now let's find out the rotation of 180° of the given points,

As we can see that the vertices are in the third quadrant because both the points of each vertex are negative, so after rotation of 180° it will move to the 1st quadrant where all the points are positive.  

So,

D = (-6, -1)

After rotation, D = (6, 1)

E = (-3, -2)

After rotation, E = (3, 2)

F = (-5, -7)

After rotation, F= (5, 7)

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Write a equation for each one please this is urgent!!!
50 points to whoever answers!!!
1. A line with a slope of 0 and a y-intercept of 5.
2. A line with a slope of 2 and a y-intercept of -1.
3. A line with an undefined slope and an x-intercept of -1.

Answers

Answer:

1. y = 5

2. y = 2x - 1

3. x = -1

The diagram shows a border that is 4 inches wide surrounding Annie's painting.






Write an expression, in factored form, that represents the area of the border.



__ square inches

Answers

since the border is 4 inches wide and there are 2 sides to the border , the expression in factored form that represents the area of border = 8 x (length of border)

What is area of rectangle?

The area of a rectangle is the amount of two-dimensional space that the rectangle occupies. It is calculated by multiplying the length of the rectangle by its width.

What is perimeter of rectangle?

The perimeter of a rectangle is the distance around the outside of the rectangle.

(4 inches) * (2 sides) * (length of border) = 8 inches * (length of border)

To write this expression in factored form, we can factor out the 8 inches:

8 inches * (length of border) = 8 inches * (length of border)

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Alexander is in the business of manufacturing phones. He must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. Let C represent the total cost, in dollars, of producing pp phones in a given day. A graph of C is shown below. Write an equation for C then state the y-intercept of the graph and determine its interpretation in the context of the problem.



C = [___________]
The y-intercept of the function is [____] which represents
(A: The number of days to produce all of the phones.)
(B: The fixed cost for all rent and equipment.)
(C: The total cost to produce all of the phones.)
(D: The additional cost to produce each phone.)
(E: The number of phones produced in day.)

Answers

The equation of line of c and y intercept are y = 100x +400 and 400 respectively.

Explain equation of line

The equation, y = mx + b, is in slant capture structure for the situation of a line. At the point when a condition is here, the slant of the line is given by m and the y-capture is situated at b. For instance, a line with the situation y = 2x + 4 has a slant of 2 and a y-catch of 4.

According to question:

Let take two random points lying on the line.

(0, 400) and (1, 500)

we know that,

Slope(m) = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] = (500-400)/(1-0) = 100

And y-intersect from the graph is c = 400

Then,

Y = mx + c

y = 100x +400

Y-intercept represent the number of phones produce in a day.

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PLEASE HELP ASAP!!!!

Answers

Answer:

#1

Step-by-step explanation:

3x4=12 not 7

Select the correct answer. Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(-13) = 20 B. g(-4) = -11 C. g(7) = -1 D. g(0) = 2

Answers

The correct answer is option B: "g(-4) = -11". This statement is consistent with the given information about the domain, range, and specific values of the function g. Since the domain of g is -20 ≤ x ≤ 5, the value x = -4 is within the domain of the function, and therefore we can evaluate g at this value. Similarly, since the range of g is -5 ≤ g(x) ≤ 45, the value g(-4) = -11 is within the range of the function. Furthermore, since g(0) = -2 and g(-9) = 6, we know that g takes on negative values, which is consistent with the fact that g(-4) = -11.

Option A, C, and D are all incorrect because they do not satisfy the conditions of the domain and range of the function g. For example, option A states that g(-13) = 20, but since the domain of g is -20 ≤ x ≤ 5, the value x = -13 is not within the domain of the function, and therefore it is not possible to evaluate g at this value. Similarly, option C states that g(7) = -1, but since the range of g is -5 ≤ g(x) ≤ 45, the value g(7) = -1 is not within the range of the function, and therefore this statement cannot be true for g. Option D states that g(0) = 2, but since we are given that g(0) = -2, this statement is not consistent with the given information about the function g.

David has $90 to spend on sneakers. the sales tax in his state is 6%. vincent has $95 to spend on sneakers. the sales tax in his state is 9%. both boys are interested in a pair of sneakers that costs $86. who will be able to buy the sneakers?
a. david
b. vincent
c. both
d. neither

Answers

Option B is correct, Vincent will be able to buy the sneakers, while David will not be able to.

Because the shoe cost after including sales tax is

6% of 86$ is 5.16$

so, 86 + sales tax (which is 5.16) = 91.16$

David only has 90$ so he can't afford the sneakers. They are 1.16$ over his budget.

While for Vincent,

9% of 86$ is 7.74$

so, 86 + sales tax (which in this case is 7.74) = 93.74

Vincent has 95$ to spend so he can afford the shoes.

A sales tax is a tax paid to a governing body for the income of certain items and services. Typically, legal guidelines permit the seller to gather funds for the tax from the customer at the factor of purchase. While a tax on goods or services is paid to a governing body immediately by means of a patron, it also includes called a use tax. frequently legal guidelines offer for the exemption of positive goods or services from income and use tax, which includes food, schooling, and medicines. A fee-introduced tax (VAT) collected on goods and services is associated with a sales tax. See the contrast with income tax for key variations.

Traditional or retail income tax is levied at the sale of an amazing to its very last quit person and is charged whenever that item is sold retail. sales to corporations that later resell the products aren't charged the tax. A patron who isn't always an end-user is generally issued a "resale certificate" by way of the taxing authority and required to provide the certificate (or its identification variety) to a seller on the point of buy, at the side of an assertion that the object is for resale. The tax is otherwise charged on each item sold to clients without any such certificate and who are underneath the jurisdiction of the taxing authority.

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a restaurant offers 9 entrees and 11 desserts. in how many ways can a person order a two-course meal?

Answers

The number of possible ways a person can order a two-course meal = 99

In this question, we have been given a restaurant offers 9 entrees and 11 desserts.

We need to find the number of possible combinations (ways) a person can order a two-course meal.

Here, the entrees = 9

and the desserts = 11

The entrees can be ordered in 9 ways

The desserts can be ordered in 11 ways.

a two-course meal = entrees * desserts

so,  the number of possible ways a person can order a two-course meal would be,

a two-course meal = 11 * 9

a two-course meal = 99

Therefore, in 99 ways a person can order a two-course meal.

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O A. (2,4) O B. (1,2) O D. (2,2) What is the midpoint of the line segment with endpoints (-1, 7) and (3, -3)?

Answers

The midpoint of the line segment is (1, 2). Then the correct option is B.

What is the mid-point of the line segment?

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The endpoints of the line segment are (-1, 7) and (3, -3). Then the mid-point of the line segment will be given as,

(x, y) = [(-1 + 3) / 2, (7 - 3) / 2]

(x, y) = (2/2, 4/2)

(x, y) = (1, 2)

The midpoint of the line portion is (1, 2). Then the right choice is B.

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best answer gets brainliest! please explain

Answers

Answer: -8

Step-by-step explanation:

We see on the graph that there are two points located y=4. They are (7,4) ( -8,4).

So the other value other than 7 is -8!

Line m passes through point (-2,-1) and is perpendicular to the graph of y= -2/3 x + 6. line n is parallel to line m and passes through point (4,-3). Which is the equation of line n in slope-intercept form

Answers

Equation of line in slope-intercept form is 3y-2x= -1.

What is a slope-intercept form?There are four alternative ways to figure out the equation of any straight line, one of which is the slope-intercept form.Typically, straight lines are shown as y = mx+c. The x and y variables are said to have a maximum power of unity by this common straight line equation. As a result, x = x1 and y = y1.Additionally, this demonstrates that only linear equations can be solved using the slope-intercept form. You ought to be able to solve linear equations with two variables. The graph of such equations is a straight line, as you should be aware of.Furthermore, you must be sure that you comprehend how linear equations' y-intercept, x-intercept, and slope properties work.

Hence, Equation of line in slope-intercept form is 3y-2x= -1.

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To qualify for the next marathon, a runner's time must be less than 3 and 1/4 hours. Indicate whether or not each runner will qualify for the next marathon.

Answers

Answer:

There was no data provided but due to simple research i have conducted the following data

Qualifiers are in bold, italics and underlined.

Step-by-step explanations:

Chio- 3 1/5

Kevin- 3.2

Ojas- 3 8/30

Sydney- 3 13/60

Qualifiers: Chico, Kevin

let me know if this is incorrect data

A tricycle has 3 wheels. How many wheels are there on 4 tricycles

Answers

Answer:

12

Step-by-step explanation:

3*4=12

a florist has 25 flower arrangements to sell. the amount of money the florist makes for selling x flower arrangements is represented by a function. f(x)

Answers

In linear equation, The domain defines the values of numbers of flower arrangements that

can be expected from the florist.

The practical domain of the function is; All integers from 0 to 25, inclusive.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                  Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

The domain of the function = The possible number of flower arrangements

that can be sold

The possible number of flower arrangements that can be sold = Whole

numbers from 0 to 25

Therefore;

The possible number of flower arrangements that can be sold = 0 ≤ x ≤ 25

Where;

x = An integer

Which gives;

The domain of the function, D = {0 ≤ x ≤ 25 | x ∈ Z}

Therefore;

The practical domain of the function if the florist sells 25 flower

arrangements is D = All integers from 0 to 25, inclusive.

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pls pls help due tommorw!!! pretty easyyy!

Answers

The monomial that we need to add to have a square of a difference is:

-2bc

Which binomial should we introduce?

Remember that the square of a difference is written as:

(a - b)^2 = a^2 - 2ab + b^2

Here we have the two  terms:

0.01*b^2 + ... + 100c^2

We can rewrite the known terms as:

0.01*b^2 = (0.1*b)^2

100*c^2 = (10c)^2

Then our expression becomes:

(0.1*b)^2 + ... + (10c)^2

And the missing term must be:

-2*(0.1b)*(10c) = -2bc

Then the complete expression is:

(0.1b)^2 - 2bc + (10c)^2 = (0.1b - 10c)^2

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I really need help with these questions!! Please make it quick!!!

Answers

Answer:

The selected answer should be correct!

Step-by-step explanation:

I did the problem step by step and got 1 5/7 which is the simplified version of 1 15/21.

I hope this helped somewhat!!

A small pool for children has some water in it. Jabari uses a garden hose to add water to it. The total amount of water in gallons, y, is a function of the time in minutes since Jabari turns on the hose, x.
The graph of the linear function passes through the points (2,44) and (5,80). What is the equation of this function?
y=?x+?

Answers

The equation for the given linear function is y = 12m + 20.

What is a linear equation?

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

The given points for the linear function are (2, 44) and (5, 80) respectively.

The slope can be obtained as,

m = (80 - 44)/(5 - 2)

   = 36/3

   = 12

Substitute the value of m in the general form y = mx + c to obtain,

y = 12x + c

Now, substitute x = 2 and y= 44 in the above expression as,

44 = 12 × 2 + c

=> c = 44 -24

=> c = 20

Thus the linear function can be written in the form of equation as,

y = 12m +  20

Hence, the equation of the function for the given case is y = 12m + 20.

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Literal Equations

help asap !!

Answers

Answer:

Step-by-step explanation:

-6y = -5x + 36

y = 5/6x - 6

At a local print hop, 16 copie can be made for $8. At thi rate, how much would it cot to make 88 copie?

Answers

Rate at which 88 copies will get printed is 44 dollars

What is unitary method ?

By using the unitary method to find the value of a single unit, we may use that value to calculate the values of the required number of units.

According to the given information :

Applying the unitary method

we get,

Rate at which 16 copies get printed = 8 dollars

Rate at which one copy gets printed = [tex]\frac{8}{16}[/tex]

Rate at which 88 copies get printed =  [tex]\frac{8}{16}[/tex]×88

                                                            = 44 dollars

Rate at which 88 copies will get printed is 44 dollars.

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Tell whether ABC and DCB can be proven congruent.

Answers

No, there isn’t enough information because only two pairs of corresponding sides can't be used to prove that two triangles are congruent.

What is congruent?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

Here,

We have to prove whether ΔABC and ΔDCB can be proven congruent.

For this, we examine the given diagram and concluded that there isn’t enough information because only two pairs of corresponding sides can't be used to prove that two triangles are congruent.

Hence, No, there isn’t enough information because only two pairs of corresponding sides can't be used to prove that two triangles are congruent.

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Find the fourth degree polynomial function with zeros 5, -5, 5i, and -5i. Write the function in factored form.

Answers

The fourth degree polynomial function with zeros 5, -5, 5i, and -5i. written  in factored form is

(x - 5) (x + 5) (x - 5i) (x + 5i)

How to find the function with the given zeros

The zeros of a polynomial function is the the value of x when the function is equal to zero

The zero is also called the root of the polynomial

To find the polynomial we equate to the zeros

the first

x = 5

x - 5 = 0

the second

x = -5

x + 5 = 0

the third

x = 5i

x - 5i = 0

the fourth

x = -5i

x + 5i = 0

Bringing the terms together

(x - 5) (x + 5) (x - 5i) (x + 5i)

Therefore the polynomial of zeros 5, -5, 5i, and -5i is gotten in factored form in the form (x - 5) (x + 5) (x - 5i) (x + 5i)

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a water tank already contains 2 gallons of water when braxtor begins to fill it. water flows into the tank at a rate of 0.25 gallons per minute. Write an slope on a graph for this and x,y table plus equation

Answers

Hence, the slope of equation is [tex]f(x)=-0.25x+2[/tex].

What is the slope of the line?

The slope is always estimated by determining the ratio of the “vertical change” to the “horizontal change” between any two different points on a line.

Suppose that the amount of water in the tank after a certain number of minutes.

Let [tex]x[/tex] be any value. So, after the [tex]x[/tex] minutes the tank has lost [tex]0.25x[/tex] gallons from the original [tex]2[/tex] .

So, the [tex]f(x)=2-0.25x[/tex] where [tex]f(x)[/tex] is the number of gallons remaining after [tex]x[/tex] minutes and here [tex]x[/tex] is the number of minutes.

[tex]f(x)=2-0.25x\\\\f(x)=-0.25x+2[/tex]

Hence, the slope of equation is [tex]f(x)=-0.25x+2[/tex].

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Here are the hottest recorded temperatures (in °F) for eight cities throughout North America.

Complete the grouped frequency distribution for the data.

In the distribution, the frequency of a class is the number of temperatures in that class.

(Note that we are using a class width of 5 .)

Answers

The frequency distribution of the data from 103 to 107 is 2, from 108 to 112 is 4 and from 113 to 117 is 2.

What is frequency distribution in a given set of data?

Frequency distribution in a data set is the no. of times a certain data of an interval of grouped data occurs.

Temperature(°F)                              Frequency

103 to 107                                                2

108 to 112                                                4

113 to 117                                                  2

The class width of a data set is represented by the two consecutive lower limits.

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In ΔPQR, p = 4.7 inches, ∠P=76° and ∠Q=57°. Find the length of q, to the nearest 10th of an inch.

Answers

The length of side q to the nearest 10th of an inch is 4.1 inches.

What is the sine rule for a triangle?

The sine rule for a triangle ABC is a/sinA = b/sinB = c/sinC.

Given, In ΔPQR, p = 4.7 inches, ∠P=76°, and ∠Q=57°.

∴  the length of q can be obtained by,

p/sinP = 1/sinQ.

4.7/sin76° = q/sin57°.

4.7/0.97 = q/0.84.

q = (4.7×0.84)/0.97.

q = 4.1 inch.

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What is 2754 divided by 18 ?

Answers

Answer:

153

Step-by-step explanation:

Use long division on a piece of paper I can't show photo sorry.

The height of an object that is dropped from the top of a tower is given by the expression −16t2 + 441, where t is the time in seconds.
(a) Factor this expression.

(b) Use a spreadsheet to determine how many seconds it takes the object to fall to a height of 377 feet. (Use 0.5-second intervals for t.)
t = BLANK sec

i need this fast

Answers

Hello,

I hope you and your family are doing well!

Part A)

The given expression is in the form y = -16t^2 + 441, which is a quadratic equation. A quadratic equation can be factored into the form (ax + b)(cx + d) = 0, where a, b, c, and d are constants.

To factor in the given expression, we can start by completing the square. To complete the square, we need to add and subtract the square of half of the coefficient of the x^2 term, which is (1/2)(-16) = -8. This gives us:

y = -16t^2 + 441 = (-16t^2 - 8t^2) + 441 = -24t^2 + 441

Now, we can rewrite the expression as follows:

y = -24t^2 + 441 = (-8t^2) + 441

To complete the square, we need to add and subtract (1/2)^2(-8)^2 = 16:

y = (-8t^2 + 16) + 425

This expression can be rewritten as:

y = (-8t^2 + 16) + (20t)^2

So the expression can be factored as:

y = (-8t + 4)(2t - 5) (this is the answer)

Part B)

To find the time it takes the object to fall to a height of 377 feet, we can set y equal to 377 and solve for t. Substituting the factored form of the expression into the equation and solving for t gives us:

377 = (-8t + 4)(2t - 5)

We can then solve this equation by setting each factor equal to 0 and solving for t. This gives us:

-8t + 4 = 0

2t - 5 = 0

Solving these equations separately gives us:

t = 1/2

t = 5/2

The time it takes the object to fall to a height of 377 feet is t = 1/2 seconds. (or 0.5 in decimal form)

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Read the story.
Peace Park sets up an outdoor ice-skating rink each winter. Yesterday afternoon, there
were 5 skaters who brought their own skates for every 3 skaters who rented skates.
Pick the diagram that models the ratio in the story.
If there were 12 more skaters who brought their own skates than skaters who rented skates,
how many skaters were there altogether?
skaters

Answers

The diagram 2 represents the model that depicts the ratio given in the story.

What is a ratio?

Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Given is that Peace Park sets up an outdoor ice-skating rink each winter. Yesterday afternoon, there were 5 skaters who brought their own skates for every 3 skaters who rented skates.

The given ration of 5 skaters for every 3 skaters is shown in the

diagram 2. In the first column, five blocks are colored and in the second

column, three boxes are colored.

Therefore, the diagram 2 correctly represents the model in the story.

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