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Arlecino [84]
3 years ago
6

Two square pyramids have the same volume. For the first pyramid, the side length of the base is 20 in. and the height is 21 in.

The second pyramid has a height of 84 in. What is the side length of the base of the second pyramid?
Mathematics
2 answers:
Nezavi [6.7K]3 years ago
8 0

Answer:

10 inches

I don't feel like explaning it but trust me, this is the answer.

Mrrafil [7]3 years ago
3 0
The volume of the pyramid is calculated by multiplying the area of the base by the height of the figure. For this item, for the figures to have the same volume,
                          V = B1H1 = B2H2
Then, we substitute the given values, and since we are not given the shape of the base and the volume of the entire figure, we can just solve it through the way below.
                        (20 in)(21 in) = (x in)(84 in)
The value of x in the problem is 5 inches. 
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To understand the problem, let's first draw a free body diagram of the forces exerted by Judy and Ike on the truck. (Refer to the left side of the attachment).

To solve for the resultant, we just use the tip-to-tail method. This is illustrated on the right side of the attachment.

We can see that the tip-to-tail method forms a right triangle thus we can just apply the Pythagorean theorem in solving for Ike's force.

20^{2} = 12^{2} + F^{2}
400 = 144 + F^{2}
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F = 16.0

ANSWER: Ike must pull the truck with a force of 16.0 N.

8 0
3 years ago
Select all the statements about the situation that are true. Elena makes more money for making 10 calls than Diego makes for was
steposvetlana [31]

Answer:

B, C, E

Step-by-step explanation:

Elena’s aunt pays her $1 for each call she makes to let people know about her aunt’s new business. The table shows how much money Diego receives for washing windows for his neighbors.

Select all the statements about the situation that are true.

A. Elena makes more money for making 10 calls than Diego makes for washing 10 windows.

Elena:

$1 = 1 call

$10 = 10 calls

Diego:

27 windows = $30

10 windows = $x

Cross product

27*x = 30*10

27x = 300

x = 300/27

x = $11.11

Statement A not true

B. Diego makes more money for washing each window than Elena makes for making each call.

Diego:

10 windows = $11.11

Each window = $11.11/10

= $1.11

Statement B is true

C. Elena makes the same amount of money for 20 calls as Diego makes for 18 windows

Elena:

20 calls = $20

Diego:

18 windows = 18 × $1.11

= $19.98

Approximately $20 to the nearest whole dollar

Statement C is true

D. Diego needs to wash 35 windows to make as much money as Elena makes for 40 calls.

Diego

35 × $1.11 = $38.85

Approximately $39

Elena:

40 calls = $40

Statement D is not true

E. The equation y = x, where y is the number of dollars and x is the number of calls, represents Elena’s situation.

Statement E is true

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2 years ago
I’ll give brainliest please help! Explain the Polynomial equation using Long division
erastova [34]

Answer:

The solution is in the image

4 0
2 years ago
Pls help need help ASAP 50 points you will be reported if the answer is wrong
aev [14]

Answer:

Part A = 10in = 35 ft

= 20 = 70 ft

Part B =

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Step-by-step explanation:

4 0
3 years ago
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Which describes the solution of the inequality y > −15? Select all the points that are part of the solution.
Svetllana [295]

Step-by-step explanation:

y > -15

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8 0
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