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Slav-nsk [51]
3 years ago
6

Choose the two rectangular prisms that have a volume of 36cm^3?

Mathematics
1 answer:
oee [108]3 years ago
8 0

Answer:

<em>Correct choices: B, D</em>

Step-by-step explanation:

<u>The Volume of a Rectangular Prism</u>

Given a rectangular prism of dimension W, L, and H, the volume is calculated as:

V = WLH

Each small cube of the figure has a volume of 1 cube centimeter. We need to calculate the volume of each solid and determine which ones have a volume of 36 cube cm.

A: V = 5*3*4 = 60 cube cm

B: V = 3*3*4 = 36 cube cm

C: V = 3*4*2 = 24 cube cm

D: V = 6*2*3 = 36 cube cm

E: V = 2*4*2 = 16 cube cm

Correct choices: B, D

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Which equation is equivalent to √x^2+81 = x+10
jeka57 [31]

Keywords:

<em>equation, operations, equivalent, binomial, square root </em>

For this case we have an equation in which we must apply operations to rewrite it in an equivalent way. We must start by raising both sides of the equation to the square. Thus, we eliminate the square root of the left side of equality and finally solve the binomial of the right side of equality.

So we have:

\sqrt {x ^ 2 + 81} = x + 10\\(\sqrt {x ^ 2 + 81}) ^ 2 = (x + 10) ^ 2\\x ^ 2 + 81 = (x + 10) ^ 2

By definition:(a + b) ^ 2 = a ^ 2 + 2ab + b ^ 2

x ^ 2 + 81 = x ^ 2 + 2 (x) (10) + (10) ^ 2\\x ^ 2 + 81 = x ^ 2 + 20x +100

Thus, x ^ 2 + 81 = x ^ 2 + 20x +100 is equivalent to \sqrt {x ^ 2 + 81} = x + 10

Answer:

x ^ 2 + 81 = x ^ 2 + 20x +100

Option D

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4 years ago
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Step-by-step explanation:

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3 years ago
Y/18 = 6/9<br><br> solve for Y with explanation
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The answer to your question is Y=12
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Step-by-step explanation:

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The square pyramid represented below has a base edge of 6 inches and a height of 5 inches. What is the volume in cubic inches of
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