Using a straightedge and a compass, which construction is being performed in the picture provided?

Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height,

omeli [17]

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

Pyramid A

$s = 4$ -- base sides

$V = 36$ -- Volume

Pyramid B

$s = 6$ --- base sides

Required

Determine the volume of pyramid B [Missing from the question]

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

$V = \frac{1}{3} * B * h$

Where B represents the area of the base equilateral triangle, and it is calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where s represents the side lengths

First, we calculate the height of pyramid A

For Pyramid A, the base area is:

$B = \frac{1}{2} * s^2 * sin(60)$

$B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}$

$B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}$

$B = 4\sqrt 3$

The height is calculated from:

$V = \frac{1}{3} * B * h$

This gives:

$36 = \frac{1}{3} * 4\sqrt 3 * h$

Make h the subject

$h = \frac{3 * 36}{4\sqrt 3}$

$h = \frac{3 * 9}{\sqrt 3}$

$h = \frac{27}{\sqrt 3}$

To calculate the volume of pyramid B, we make use of:

$V = \frac{1}{3} * B * h$

Since the heights of both pyramids are the same, we can make use of:

$h = \frac{27}{\sqrt 3}$

The base area B, is then calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where

$s = 6$

So:

$B = \frac{1}{2} * 6^2 * sin(60)$

$B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}$

$B = 9\sqrt 3$

So:

$V = \frac{1}{3} * B * h$

Where

$B = 9\sqrt 3$ and $h = \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9 * 27$

$V = 81$

6 0

3 years ago

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Please help will give brainlist if its correct

Ugo [173]

Answer:

I think it's B

Step-by-step explanation:

x = -2

2 + x > -8

2 + -2 > -8

0 > -8

4 0

3 years ago

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MUST ANSWER ALL i need help asap will give 15 points!! can you please help?

Brrunno [24]

the first answer is D and the second is C

Step-by-step explanation:

The first question you just move to the next point the second a translation doesn't mirror it but it does move it so its C because it slides

5 0

3 years ago

I need help ASAP PLSSSSS.

yKpoI14uk [10]

Answer:

Step-by-step explanation:

I dont know if its right but I think you have to subtract 30% from seven since the equation is not being specific and I came up with 4.9 but dont quote me on it im just giving a educational guess

6 0

3 years ago

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1. Refer to the equation 3x − 5y = 15. (a) Create a table of values for at least 4 points. Show your work on how you found the v

Ann [662]

Answer:

(0, 3 ), (5, 0), (10, -3), (15, -6)

Step-by-step explanation:

3x − 5y = 15

-5y = 3x + 15

y = $-\frac{3}{5} x + 3$

Point 1: (0, 3 )

y = -3/5(0) + 3

y = 0 + 3

y = 3

Validate:

3 = -3/5(0) + 3

3 = 3

Point 2: (5, 0)

y = -3/5(5) + 3

y = -3 + 3

y = 0

Validate:

0 = -3/5(5) + 3

0 = 0

Point 3: (10, -3)

y = -3/5(10) + 3

y = -6 + 3

y = -3

Validate:

-3 = -3/5(10) + 3

-3 = -3

Point 4: (15, -6)

y = -3/5(15) + 3

y = -9 + 3

y = -6

Validate:

-6 = -3/5(15) + 3

-6 = -6

6 0

3 years ago

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