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Elanso [62]
4 years ago
10

The height of a pyramid-shaped sculpture with a square base is one half the length of each side. The volume of the sculpture is

972 in^3. What is the height of the sculpture?
I need the answer asap!!
Mathematics
1 answer:
Nimfa-mama [501]4 years ago
4 0

The volume of a pyramid is V = 1/3 x base length^2 x height

Let X = base length.

We are told the height is 1/2 the length, so height would be 1/2x

Now we have:

972 = 1/3 * x^2 * 1/2x

Simplifying we get:

972 = 1/6x^3

Multiply both sides by 6:

5832 = x^3

Take the cube root of both sides:

x = 18

The length of the base is 18 inches.

The height is 1/2 that, so the height would be 18/2 = 9 inches.

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Answer: The answer is 135 murders.

Step-by-step explanation: The report tells us that statistically 67.5% of murders are committed using a firearm. It follows therefore that in a sample of 200 randomly selected murders, one would expect that 67.5% of those would be by a firearm. \frac{67.5}{100} * 200 = 135.

It would certainly be higher that the expected value based on previous data collected but it would not be unusual because one sample may have a higher than "normal" amount of murders by firearm. Statistics aren't going to be exact for every sample.

8 0
3 years ago
Evaluate 22p÷11 for p=3
leva [86]
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3 years ago
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An interior designer sketches a design for a rectangular rug. The dimensions of a sketch are 4 inches by 7.5 in. The dimensions
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3,000 in.

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40 in., 7.5 in.


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4 0
4 years ago
Divide 3 divided by 2/5 <br><br> 7<br><br> 7 1/5<br><br> 7 1/2<br><br> 8
Ksju [112]
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5 0
3 years ago
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Can you help me plzs
Jlenok [28]

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----  ----

7      7

x=164

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