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nekit [7.7K]
2 years ago
10

If a cube has a volume of 9 feet and a shelf has a height of 27 inches, can the cube fit in the shelf?

Mathematics
2 answers:
Sav [38]2 years ago
7 0

Answer:

Step-by-step explanation:

volume = 9 cubic feet

edge = ∛9 foot × (12 inches)/foot = 12∛9 inches ≅ 25 inches < 27 inches

The cube will fit.

rusak2 [61]2 years ago
4 0

Answer:

Yes the cube will fit.

Step-by-step explanation:

If we don't take into account of how wide of long the cube is and just focus on the height, the edge of a cube with a volume of 9 feet is roughly 2.08 feet. That totals to less than 27 inches, therefore the cube will fit on the shelf.

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Answer:

x = 51

Step-by-step explanation:

-17 = x/-3

Multiply each side by -3

-3 * -17 = x / -3 * -3

51 = x

4 0
3 years ago
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Eli invested $ 330 $330 in an account in the year 1999, and the value has been growing exponentially at a constant rate. The val
Cloud [144]

Answer:

The value of the account in the year 2009 will be $682.

Step-by-step explanation:

The acount's balance, in t years after 1999, can be modeled by the following equation.

A(t) = Pe^{rt}

In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.

$330 in an account in the year 1999

This means that P = 330

$590 in the year 2007

2007 is 8 years after 1999, so P(8) = 590.

We use this to find r.

A(t) = Pe^{rt}

590 = 330e^{8r}

e^{8r} = \frac{590}{330}

e^{8r} = 1.79

Applying ln to both sides:

\ln{e^{8r}} = \ln{1.79}

8r = \ln{1.79}

r = \frac{\ln{1.79}}{8}

r = 0.0726

Determine the value of the account, to the nearest dollar, in the year 2009.

2009 is 10 years after 1999, so this is A(10).

A(t) = 330e^{0.0726t}

A(10) = 330e^{0.0726*10} = 682

The value of the account in the year 2009 will be $682.

4 0
3 years ago
A square swimming pool with the perimeter of 156 feet find the length of one side
frosja888 [35]
156 divided by 4 is 39  So each side is 39
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3 years ago
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2×-20/3 =2x help me please ​
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Answer:

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3 years ago
A university has 28,980 students. In a random sample of 180 students, 12 speak three or more languages. Predict the number of st
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Language| 12 | x
Total | 180 | 28980
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347760 = 180x
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3 years ago
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