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8_murik_8 [283]
3 years ago
15

In the diagram, the dashed figure is the image of the solid figure.

Mathematics
1 answer:
NISA [10]3 years ago
3 0

Answer:

the answer is A because it is ap

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Why is 1/3 greater than 1/6
Korvikt [17]
Because 1/3 is equal to 2/6 which is greater than 1/6
3 0
3 years ago
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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!!!!
Scorpion4ik [409]

Answer:

If f(−x) = −f(x), then the graph of f(x) is symmetrical with respect to . A function symmetrical with respect to the y-axis is called an even function. A function that is symmetrical with respect to the origin is called an odd function.

8 0
2 years ago
Evaluate the expression 3a - 2ab if a= 4 and b= 6<br><br><br> please explain, thank you !
Fofino [41]

Answer: 6

Step-by-step explanation:

3 0
2 years ago
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Kim eats 1/3 of an apple in 1/6 minute.How many minutes will it take
klio [65]

Answer:

0.5 or 3/6 min

Step-by-step explanation:

so

1/3= 1/6min or 10 sec

to finish the whole apple 3/3 is required

1 part is 10 sec, 3 parts will be 30 secs which is 0.5 /3/6 min.

hope this helps

3 0
3 years ago
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