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Valentin [98]
3 years ago
14

Nemo's aquarium is filled with 2,4002{,}400 2,400 2, comma, 400 cubic centimeters of water. The base of the aquarium is 20 cm 20

\text{ cm} 20 cm 20, start text, space, c, m, end text long and 12 cm12\text{ cm} 12 cm 12, start text, space, c, m, end text wide. What is the height of the water in Nemo's aquarium?
Mathematics
1 answer:
kolezko [41]3 years ago
6 0

The water in the aquarium is a rectangular prism with dimensions 20, 12 and h (where the height is unknown).

We know that the volume is the product of the dimensions, and that it is 2400, so we have

V=2400=20\cdot 12 \cdot h \iff 240h=2400 \iff h=10

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You may solve this ratio by cross multiplying. To do this, you multiply the numbers diagonally across from each other.

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Which of the following is the least common multiple of 6 and 8? A. 12 B. 16 C. 24 D. 32
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2 years ago
Select all of the expressions that are equivalent to 3(4x + 5y).
rusak2 [61]

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5 0
3 years ago
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What is the measure of angle 4?
Ymorist [56]
Answer: C) 108 degrees

------------------------------------------------------

Explanation:

Angle 4 is an exterior angle which corresponds to the remote interior angles of 33 degrees and 75 degrees. Through the remote interior angle theorem, we can add the remote interior angles to get the exterior angle

So we simply add 33 and 75 to get 33+75 = 108

If you chose not to use this theorem, then you can find angle three by using the fact that all three angles of the triangle must add to 180 degrees. So,

33+75+(angle 3) = 180
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Then use the fact that angle 3 and angle 4 are supplementary

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angle 4 = 108 degrees

either way, we get the same answer
7 0
3 years ago
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