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sukhopar [10]
3 years ago
6

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

Mathematics
1 answer:
otez555 [7]3 years ago
5 0

Answer: a

Step-by-step explanation:

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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

<u>Pyramid A</u>

s = 4 -- base sides

V = 36 -- Volume

<u>Pyramid B</u>

s = 6 --- base sides

Required

Determine the volume of pyramid B <em>[Missing from the question]</em>

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
Read 2 more answers
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
Read 2 more answers
MUST ANSWER ALL <br>i need help asap will give 15 points!!<br>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
Read 2 more answers
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