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egoroff_w [7]
2 years ago
14

The volume of a rectangular prism is 840 cubic inches. If the area of the base is 60 cubic inches, what is its height?

Mathematics
1 answer:
Ugo [173]2 years ago
4 0

Answer:

the height is 14

Step-by-step explanation:

since the volume in a rect. prism is V = width x height x length, and the width times length is the area of the base, for height we need to do 840/60 to find the height

840/60 = 14

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Step-by-step explanation:

Divide 180 by 35% to find how many are huskies

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kiruha [24]

For this case we have the following expression:

\frac {216 ^ {n-2}} {(\frac {1} {36}) ^ {3n}} = 216

We multiply both sides by: (\frac {1} {36}) ^ {3n}

216 ^ {n-2} = 216 * (\frac {1} {36}) ^ {3n}

We divide both sides by 216:

\frac {216 ^ {n-2}} {216} = (\frac {1} {36}) ^ {3n}

To divide powers of the same base, we place the same base and subtract the exponents:

216 ^ {n-2-1} = (\frac {1} {36}) ^ {3n}\\216 ^ {n-3} = (\frac {1} {36}) ^ {3n}

Rewriting:

(6 ^ 3) ^ {n-3} = (\frac {1} {6 ^ 2}) ^ {3n}\\6 ^ {3n-9} = \frac {1} {6 ^ {6n}}\\6^{ 3n-9} * 6^{ 6n} = 1

To multiply powers of the same base, we place the same base and add the exponents:

6^{ 3n-9 + 6n} = 1\\6^{ 9n-9} = 1

We know that any number raised to zero is 1, a ^ 0 = 1.

So, for equality to be true:

9n-9 = 0\\9n = 9\\n = \frac {9} {9}\\n = 1

Answer:

n = 1

3 0
3 years ago
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sladkih [1.3K]

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7 0
3 years ago
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(1.7x10^13)+(0.8x10^13)
maks197457 [2]

Answer:

(1.7x10^13)+(0.8x10^13)

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Step-by-step explanation:

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