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Anna [14]
3 years ago
10

Anne has an aquarium in the shape of a rectangular prism that measures 10 in. By 20 in. By 10 in. How many cubic inches of water

can the aquarium hold?
Mathematics
1 answer:
kaheart [24]3 years ago
6 0

Answer:

Volume = 2000\ in^3

Step-by-step explanation:

Given

Dimension: 10in by 20in by 10in

Required

Determine the capacity of the aquarium

This question implies that, we calculate the volume of the prism and this is calculated by multiplying the dimensions of the aquarium. i.e.

Volume = Length * Width * Height

Substitute values for the dimensions

Volume = 10 * 20 * 10

Volume = 2000\ in^3

Hence, the volume of the aquarium is 2000 cubic inches

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Answers:

  • Translation 3 units up
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Explanation:

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To go from y = 1 to y = 4, we add 3

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The value of k is 3, which corresponds exactly to the vertical shift. If we shifted down, then k would be negative.

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Determine whether the given sequence could be geometric, arithmetic, or neither. if possible, identify either the common ratio o
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ARITHMETIC CHECK: A sequence is said to be arithmetic if any two consecutive terms differ by the same constant.

So, the test to check if a series is arithmetic is to compute consecutive differences, and see if they all return the same number.

If we subtract the first two terms, we have 2-4 = -2. If we subtract the third and second terms, we have 1-2 = -1.

These two differences returned two different values, so the series is not arithmetic.

GEOMETRIC CHECK: A sequence is said to be geometric if any two consecutive terms are in the same ratio.

So, the test to check if a series is geometric is to compute consecutive ratios, and see if they all return the same number.

If we divide the first two terms, we have

\dfrac{2}{4} = \dfrac{1}{2}

If we divide the third and second terms, we have

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Finally, if we divide the last two terms we have

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So, all ratios return the same number. This means that the series is geometric, and the common ratio is 1/2



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Answer:

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Step-by-step explanation:

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In general, the notation (x,y) \to (x+a, y+b) is shortened to the translation vector notation < a, b >. In this case, a = 9 and b = 0.

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