The question is down below

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The Question Is Down Belowalso I Home School And Have Permission To Post This Question

Answers

Answer 1

Answer:

  2448 ft²

Step-by-step explanation:

The surface area of the triangular prism is the sum of the areas of the triangular bases and the lateral area of the rectangular faces.

Base area

The two right triangle bases together form a rectangle that is 24 ft wide and 18 ft tall. The total base area is ...

  A = (24 ft)(18 ft) = 432 ft²

Lateral area

The rectangular faces of the prism are each 28 ft wide and have a total width of 18 +24 +30 = 72 ft. Their total area is ...

  LA = (28 ft)(72 ft) = 2016 ft²

Total surface area

The sum of the base area and lateral area is ...

  total area = (432 ft²) +(2016 ft²) = 2448 ft²

The surface area of the triangular prism is 2448 ft².

__

Additional comment

The area formula for the triangular base is ...

  A = 1/2bh . . . . . . area of one triangle with base b and height h

Then the area of the two congruent triangular bases is ...

  A = 2(1/2bh) = bh

This is the formula we used above. It skips the work of dividing by 2, then multiplying by 2 again.


Related Questions

a square pyramid has side length 9 in. and volume = 270 in^3. find the height.

Answers

If the square pyramid has side length 9 inches and volume of 270 inches cube then by putting the values within the formula of volume height are going to be 10 inches.

Given Length and volume of a square pyramid are 9 inches and 270 inches cube. Square pyramid is the pyramid having square base. It is a right square pyramid.

We know that the amount of square pyramid is 1/3 *[tex]l^{2} *h[/tex]

Put the values in formula to induce the values oh h.

Volume=1/3*[tex]9^{2}*h[/tex]

270=1/3* 81*h

h=(270*3)/81

h=810/81

h=10

Hence the peak of the square pyramid having length 9 inches and volume of 270 inches cube is 10 inches.

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A ferris wheel is 15 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 2 minutes. The function h = f(t) gives your height in meters above the ground t minutes after the wheel begins to turn. Write an equation for h = f(t).

Answers

The equation for h = f(t) will be, ⁣[tex]\rm h(t)=7.5sin({\pi}t-\frac{\pi}{2})+12.5[/tex].

What is a function?

A connection between independent variables and the dependent variable is defined by the function. Functions help to represent graphs and equations.

The given data in the problem is;

Ferris wheel diameter,d= 15 meters

The platform is 5 m above the ground.

The Ferris wheel function is;

h(t) = A sin(Bt + C) + D

Here,

A is Amplitude

D is the midline

B is period

C is a phase shift

t is the time

The amplitude of the function is half of the diameter;

A = d/2

A=15 m /2

A = 7.5 m

The value of the mid-line is found as;

Mid-line =  amplitude  + distance from the mid-line;

D= 7.5 + 5

D = 12.5

From the given data, the wheel completes 1 full revolution in 2 minutes

The period of the wheel is T.

B = 2

The phase shift is found as;

[tex]\rm \frac{C}{\pi}=\frac{-1}{2}\\\\ {C}=\frac{-\pi}{2}[/tex]

The Ferris wheel function is;

h(t) = A sin(Bt + C) + D

Substitute the obtained values we get;

[tex]\rm h(t)=7.5sin({\pi}t-\frac{\pi}{2})+12.5[/tex]

Hence, the equation for h = f(t) will be, ⁣[tex]\rm h(t)=7.5sin({\pi}t-\frac{\pi}{2})+12.5[/tex].

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Decide if the function is an exponential function. If it is, state the initial value and the base. (5 points) y = - 6.1 ⋅ 3x

Answers

The function is an exponential function; the initial value is -6.1 and the base is 3

How to determine the function type?

The equation of the function is given as:

y = -6.1 *(3^x)

An exponential function is represented as:

y = ab^x

Where:

Initial value = a

base = b

By comparison, we have

a = -6.1 and b = 3

Hence, the function is an exponential function; the initial value is -6.1 and the base is 3

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angle sum theory find Y

Answers

Answer:

25

Step-by-step explanation:

The angle sum theory says that the sum of all the interior angles in a triangle is 180 degrees.

Finding X

To solve for y, we must first find x. This way we know 2 of the interior angles. Luckily, angle x is a part of a linear pair.

Linear Pairs are 2 adjacent angles that create a straight line together. This means that the sum to 180 degrees.

Angle x and the angle with a measurement of 115 form a linear pair. Thus, we can create an equation to find x.

115 + x = 180

By subtracting 115 from both sides we know that x = 65.

Solving for Y

Now that we know x, we can find y. We know that one of the interior angles is 65 and that the other is 90 degrees. The square marking the bottom angles in the middle show that they are right angles.

Right angles are usuaslly denoted with a square drawn in the angle and have a measurement of 90 degrees.

Lastly, we can create a formula to find y with the angle sum theory.

90 + 65 + y = 180

Combine like terms

155 + y = 180

Subtract 155 from both sides

y = 25

This means that the angle y is 25 degrees.

You have been saving $25 a week to make the trip; you now have $200. This money will be budgeted to include gas, food, and entertainment. Write an equation to model your savings plan and then graph it. What would be the domain and range in this situation?

Answers

Domain is 25 & 200
Range is 175

Find the area of the following figure ( i don't know how to get that answer plsss, help)

Answers

The area of the figure is 11. 27 cm²

How to determine the area

The figure given is a parallelogram

The formula for the area of a parallelogram is given thus;

Area = base × height

From the figure, we have that

base = 2. 3 cm

height = 4. 9 cm

Substitute into the formula

Area = 2. 3 × 4. 9

Area = 11. 27 cm²

Thus, the area of the figure is 11. 27 cm²

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Which of the following results in the difference of two squares?

Answers

The difference of two squares expression is (c) (5x + 3y)(5x - 3y)

How to determine the difference of two squares?

The difference of two squares expression is represented as:

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

Using the above as a guide, we have the following expression in option (c)

(5x + 3y)(5x - 3y)

Hence, the difference of two squares expression is (c) (5x + 3y)(5x - 3y)

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A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 594 inch to the 3 in​, what were the original dimensions of the piece of​ metal?

Answers

The original dimensions of the metal sheet are 22 inches by 52 inch

What is volume?

The volume is defined as the space occupied by any object in three dimensions. For a rectangular box, the volume will be calculated by multiplying the length, width, and height of the object.

If the Width of the metal = x

The length is 30 inches longer than its width= x+30

If Squares with sides 6 in long are cut from the four corners and the flaps are folded.

The length of the pre-folded box =x+30-12=(x+18)inch

The width of the pre-folded box = (x-6-6)inch = (x-12) inch

The height of the flap= 6 inch

The volume of the box = 2400-inch cubed

Volume of a Cuboid = LWH

6(x-12)(x+18)=2400

6x²+36x-1296=2400

6x²+36x-1296-2400=0

6x²+36x-3696=0

6(x-22)(28+x)=0

x-22=0 or x+28=0

Therefore the original dimensions of the metal sheet are 22 inches by 52 inch

The complete question with correct data is given below:-

A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 2400 incubated​what were the original dimensions of the piece of​ metal?

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helppppppp!!! pleaseeeeeeeee

Answers

Answer:

  62,400 J

Step-by-step explanation:

As the problem statement tells you, the work done to lift the mass is the product of the force applied and the distance the mass is lifted. Here, the force decreases as the height of the mass increases.

Setup

For x meters of exposed cable, the force required to lift it is 3x newtons. The force required to lift the object is 1500 newtons, so the total force required to lift the masses an incremental distance (dx) is (3x +1500) newtons.

The work done lifting the mass that distance is the product of force and distance. The total work done is the integral of the incremental work over the total of distance lifted:

  [tex]\displaystyle W = \int_0^{40}(3x+1500)\,dx[/tex]

Solution

The value of the integral is ...

  [tex]\displaystyle W=\left.\left(\dfrac{3}{2}x^2+1500x\right)\right|_{x=0}^{x=40}=40\left(\dfrac{1}{2}(3\cdot40)+1500\right)=62\,400\qquad\text{joules}[/tex]

The work done to lift the cable and weight is 62,400 joules.

__

Additional comment

One reason for writing the integral evaluation this way is to demonstrate that the total of work done is that required to lift the weight (1500 N, 40 m) and that required to lift the center of mass of the cable (120 N, 20 m).

This will generally be the case for "disappearing mass" or "increasing distance" problems. Pumping from a pool is a similar kind of problem with a similar kind of solution.

Effectively, you're doing work on the center of mass of the system, moving it from its initial position to the top of the building.

How can I solve this?? Please help

Answers

Answer:yes

15x times 2=30x

15x times 3= 45x

3y tines 2 =6y

3y times 3=9y

Step-by-step explanation:

Which graph represents this inequality? 3x + y ≤ 1

Answers

Answer:

Step-by-step explanation:

PLEASE HELP
Graph the following exponential function. Show work in how you find the y intercept, talk about the end behavior, and state if it is a growth or decay function. See image.

Answers

The y-intercept of the function is  -9,25

How to graph the function?

The function is given as:

[tex]y = -5(.8)^{x - 1} - 3[/tex]

See attachment for the graph of the function

From the graph, we have the following highlights:

y-intercept = -9,25As x increases, y approaches -3As x decreases, y approaches negative infinity

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Write 4.714 as a mixed number

Answers

Answer:

47/14 is a mixed number i think

Math interest, I, P, R,T

I will give more points to you once questions are completed.

Answers

The interest based on the information given is $2564.

How to calculate the interest?

From the information given, the following can be deduced:

Principal = $36900

Time = 178 days

Rate = 14.25%

The simple interest will be:

= (PRT)/100

= (36900 × 14.25 × 178/365)/100

= $2564

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The shaded region under a Normal distribution with mean 100 and standard deviation 5 is shown. Which of the following is the best choice that corresponds to the shaded region? Select one. mean The shaded region under a Normal distribution with mean 100 and standard deviation 5 is shown . Which of the following is the best choice that corresponds to the shaded region ? Select one .

Answers

The shaded region shown in the graph of the normal distribution corresponds to P(x < 92.5).

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The z score shows by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

The diagram represents z < 1.5 mean = 100, standard dev = 5 hence:

-1.5 = (x - 100)/5

x = 92.5

The shaded region shown in the graph of the normal distribution corresponds to P(x < 92.5).

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PLEASE HELP SOON THX SO MUCH
an airplane flies 3300 miles with the wind in 3 hrs 18 minutes. it takes 4 hrs 24 mins to make the return flight against the same wind. find speed of airplane and wind.

Answers

Answer:

The speed of aeroplane =875 miles/hr and the speed of wind =125 miles/hr.

Step-by-step explanation:

Let’s assume the speed of the plane =x miles/hr

And let the speed of wind =y miles/hr

So, the speed of the aeroplane in the direction of wind =(x+y) miles/hr

Speed of the aeroplane in the opposite direction of wind =(x–y) miles/hr

We know that, distance=speed×time

Then according to the given conditions, we have

3300=(x+y)×(3+(18/60))

here convert 18mins to hour by dividing by 60 and add to 3hrs.

⇒x+y= 3300/3.3

⇒x+y=1000 … (i)

And,

3300=(x-y)×(4+(24/60))

here convert 24mins to hour by dividing by 60 and add to 4hrs.

⇒x-y= 3300/4.4

⇒x-y=750 … (ii)

Adding equation (i) and (ii), we get

2x=1750

⇒x= 1750/2

=875

Substituting the value of x in equation (ii), we get

875−y=750

⇒y=875-750

⇒y=125

Therefore, the speed of aeroplane =875 miles/hr and the speed of wind =125 miles/hr.

QUESTION IS DOWN BELOW 15 POINTS EACH

Answers

Answer:

See below

Step-by-step explanation:

density = mass/volume

   re-arrange to    density * volume = mass

                                 20 * 64 = 1280 gm

Density = mass/volume    

   re-arrange to      volume = mass / density

                                                 560 / 14 = 40 cm^3

S and Tare mutually
exclusive events. Find P(sort)
P(S) = 12% P(T) =27%

Answers

The value of the probability P(S or T) is 39%

How to determine the probability?

The probability values are given as:

P(S) = 12% P(T) =27%

For mutually exclusive events,

P(S or T) = P(S) + P(T)

This gives

P(S or T) = 12% + 27%

Evaluate the sum

P(S or T) = 39%

Hence, the value of the probability P(S or T) is 39%

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Suppose that a forest on a flat terrain has perimeter 200 kilometers, but there is no information on the shape of the forest. What shape will give the largest possible area for the forest? what is this area?

Answers

The largest possible area of the forest is 2500 km^2

How to determine the largest area?

The perimeter is given as:

P = 200 km

The shape that will give the largest possible area for the forest is a square, and the area is calculated as:

A = (P/4)^2

This gives

A = (200/4)^2

Evaluate

A = 2500 km^2

Hence, the largest possible area of the forest is 2500 km^2

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Anderson's Solar Systems manufactures solar panels, and their business is growing. Last year,
they hired 90 new employees. This year, they hired 20% more new employees than they hired las
year. How many new employees were hired this year?

Answers

hey :)

20% of 90 is is 18. so if you add 18 to 90, you get 108.
therefore, 108 employees were hired this year.

hope this helps,

what is the product? (7x^2)(2x^3+6)(x^2-4x=9)

Answers

Answer:

14x^7-56x^6=9

Step-by-step explanation:

distribute

(7x^2)(2x^3 +6)(x^2 -4 * 9=x)

(2x^3+6)(x^2 -4 * 9=x)=2x^5-8x^4=9

(7x^2)(2x^5-8x^4=9)

14x^7-56x^6=9

2y + 3x = -6 in slop intercept form

Answers

Answer:

[tex]y=-\frac{3}{2}x-3[/tex]

Step-by-step explanation:

The slope-intercept form is written as y= mx +c, where m is the slope and c is the y-intercept.

For the equation to be in the slope-intercept form, first leave the y term on the left-hand side of the equation and bring the rest to the right-hand side.

2y= -3x -6

Ensure that the coefficient of y is 1. In this question, we can divide both sides of the equation by 2 to achieve the slope-intercept form.

[tex]y=\frac{-3x}{2}-\frac{6}{2}[/tex]

Simplify:

[tex]\bf{y=-\frac{3}{2}x-3 }[/tex]

Additional:

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If the Federal Reserve sets the reserve rate to 4%, what is the resulting money
multiplier?

Answers

Answer:

The money multiplier is the ratio of money supply to the money base. The money base is the sum of currency in circulation and reserves held by commercial banks.

The reserve rate is the percentage of deposits that commercial banks must hold in reserve.

If the reserve rate is 4%, the money multiplier is 10.

Step-by-step explanation:

what's the numerator for the following rational expression? 6/t+7/t=?/t

Answers

The numerator for the following rational expression is 13

How to determine the numeration?

The rational expression is given as:

6/t + 7/t

Take the LCM of the denominator;

The LCM of t and t is t

So, we have:

6/t + 7/t = (6 + 7)/t

Evaluate the sum

6/t + 7/t = 13/t

13 is the numerator, while t is the denominator

Hence, the numerator for the following rational expression is 13

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Could someone help me out?

Answers

The values of the functions are f(4) = 47, f(k) = 2(k)^2 + 4(k) - 1 and f(x + h) = 2x^2 + 4hx + 2h^2 + 4x + 4h - 4

How to evaluate the expression?

The function is given as:

f(x) = 2x^2 + 4x - 1

To calculate f(4), we have:

f(4) = 2(4)^2 + 4(4) - 1

Evaluate the expression

f(4) = 47

To calculate f(k), we have:

f(k) = 2(k)^2 + 4(k) - 1

To calculate f(x + h), we have:

f(x + h) = 2(x + h)^2 + 4(x + h) - 1

Expand

f(x + h) = 2(x^2 + 2hx + h^2) + 4x + 4h - 4

Expand

f(x + h) = 2x^2 + 4hx + 2h^2 + 4x + 4h - 4

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Sound waves can be ranked by their intensity, I, given in this formula, where r is the distance from the source of a sound with a power output of P=4 πIr^2 Which equation correctly rewrites the formula to solve for I?

Answers

Answer:

See below

Step-by-step explanation:

P = 4pir^2 l     divide both sides by  4 pi r^2

l  =  P /(4pir^2)

This circle is centered at the origin, and the length of its radius is 10. What is
the circle's equation?
A. x+y=10
B. x¹° + y¹° = 100
C. X²+ y² =10
D. X² +y²=100

Answers

Answer:

D

Step-by-step explanation:

If you substitute the radius, 10, and the center of the circle, the origin (also known as (0,0) into the equation of a circle, you should get: [tex](x - 0)^{2} + (y - 0)^{2} = 10 ^{2} [/tex]

Multiplying this out should leave you with D as your answer.

Note: When solving for k, round to four decimal places.

A country's population in 1994 was 107 million. In 1997 it was 112 million. Estimate the population in 2008 using the exponential growth formula. Round your answer to the nearest million. ​

Answers

Answer: 132 million

Exponential growth formula: [tex]P=A e^{rt}[/tex]

[P is final amount, A is initial amount, r is growth rate, x is time intervals]

To find growth rate:

[tex]112 = 107 e^{r(3)}[/tex]

[tex]3r= ln(112/107)[/tex]

[tex]r= ln(112/107)/3 = 0.01522334561[/tex]

Population in 2008:

[tex]P_{2008}=107 e^{(0.01522334561(14))}[/tex]

[tex]P_{2008}=132.4169522[/tex]

[tex]P_{2008}=132\:million \quad (rounded \:to\:nearest\:million)[/tex]

Okay, I am getting familiar with quadratic equations by I'm not sure of X=m+/- n... Help!

Answers

The value of m and n to show the solution of the equation x² + 6x - 5 = 0 is m = -3 and n = ± √14

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

x² + 6x - 5 = 0

x² + 6x = 5

x² + 6x + 9 = 5 + 9

(x + 3)² = 14

x + 3 = ±√14

x = -3 ± √14

The value of m and n to show the solution of the equation x² + 6x - 5 = 0 is m = -3 and n = ± √14

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In △ABC, we are told that c=11, ∡C=75∘, and ∡B=29∘. Solve for a and b.

Answers

The value of a and b are 5.5 and 11.0.

How to find side of a triangle?

The sides a and b of the triangle can be found as follows:

∠B = 29°

c = 11

∠C = 75°

∠A = 180 - 75 - 29 = 76°

Using sine ratio,

b / sin 29° = 11 / sin 75

b sin 75 = 11 sin 29

b =  11 sin 29 / sin 75

b = 5.33290582271 / 0.96592582628

b = 5.51816958277

b = 5.5

Let's find a,

a / sin 76 = 11 / sin 75

a sin 75 = 11 sin 76

a = 11 sin 76 / sin 75

a = 10.673252989 / 0.96592582628

a = 11.0466922042

a = 11.0

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Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempt during his hockey practice? how do i find x?? whats the answer? Help please I will mark brainliest 2. For the following data, calculate the z-score. (5 points)a. Sierra wishes to enroll her son in an exclusive academy. Her son mustscore an 107 on their aptitude test in order to be accept. Calculate the z-score for a score of 107 based on the data provided.Score (Y) = 107Mean = 95Standard Deviation = 7.5hint: Use the z-score formula to convert 107 into a z-score Write the rule for the table, use x for the input. Naphthol AS-D chloroacetate esterase (specific) is usually positive in _____ cells, and alpha naphthyl acetate esterase (nonspecific)is useful for identifying blast cells of ______lineage. One angstrom is the tenth billionth part of a meter. express this information in scientific notation Which of these facts does the author of the article "The Aftermath" provide tosupport the opinion that the public response "seemed so inept"?A. President Bush changed his mind about how well things werebeing handled.B. More than 50 nations offered to help with the disaster.C. People were calling New Orleans "Baghdad under water."D. Harry Connick Jr. beat the National Guard to the New OrleansConvention Center.Please hurry what are the answers importance of natural resources at least 4 points please Which diagram represents rx RO,180? Find the product of 4(8+3).O 42+63O 23+6O 82+63O 42+6 Imagine that you are Prospero at the Banquet at the end of the play. You have promised to tell Alonso everything. Will you? Write an account of the story you would tell.This assignment should be a maximum of 1000 words. Calculate (4.2105)(4.0109)cm2. If the population of beetles in this rain forest communitywere to disappear, which of these populations would bemost likely to decrease?boa constrictorslothbeetlestrangler figA. SlothcoatifungusB. Poison dart frogC. Strangler figD. Boa constrictorpoison dart frogfruit bat The surface area of an open-top box with length L , width W , and height H can be found using the formula:A=2LH+2WH+LWFind the surface area of an open-top box with length 4 cm, width 8 cm, and height 5 cm. Please solve this question The equation of the line of best fit of a scatter plot is y = 6x 9. What is the slope of the equation? __________ is to a person's overall sense of worth and well-being as __________ is to how a person views and evaluates themselves. Find the coefficient of determination, given that the value of the linear correlation coefficient, r, is 0.721.