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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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The population of a town has grown at an annual rate of 2.7%. How long does it take for it’s population of 18,450 people to doub
charle [14.2K]
It would take 26 years.

The equation will be in the form y = a(1+r)ˣ, where a is the initial population, r is the growth rate as a decimal number, and x is the amount of time.  Using our information we have

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3 0
3 years ago
Which fraction is bigger? <br> 13/20 or 5/8
VARVARA [1.3K]
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7 0
3 years ago
Read 2 more answers
Add the following - 4/9,7/12and - 3/8​
bulgar [2K]

Answer:

<h2>-  \frac{17}{72}</h2>

Step-by-step explanation:

-  \frac{4}{9}  +  \frac{7}{12}  + (  - \frac{  3}{8} )

When there is a (+) in front of an expression in parentheses, the expression remains the same:

-  \frac{4}{9}  +  \frac{7}{12}  -  \frac{3}{8}

\frac{ - 4 \times 8 + 7 \times 6 - 3 \times 9}{72}

Calculate the sum of difference

\frac{ - 32 + 42 - 27}{72}

\frac{10 - 27}{72}

- \frac{17}{72}

Hope this helps..

Good luck on your assignment...

8 0
3 years ago
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