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julsineya [31]
2 years ago
13

"cube has a volume of 125 cubic inches. What is the length of each edge?"

Mathematics
1 answer:
s2008m [1.1K]2 years ago
6 0
5. Each side is equal and you need to find what number times itself 3 times gets 125, which in this case is 5. 5x5x5= 125, which means 5 is the correct answer.
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2 years ago
10. Simplify the rational expression by rationalizing the denominator. 3 sqrt 160/sqrt 1350x A) 2 sqrt 15x/15x B) 3 sqrt 160/135
Viefleur [7K]
The simplified expression by rationalizing the denominator is (C)\frac{4 \sqrt{15x} }{15x}.

First we must simplify the expression:
\frac{3 \sqrt{160} }{\sqrt{1350x} } =  \frac{12 \sqrt{10} }{15 \sqrt{6x} } =  \frac{4 \sqrt{10} }{5 \sqrt{6x} }

Then we factor the rational parts and cancel it out:
\frac{4 \sqrt{2} \sqrt{5} }{5 \sqrt{2} \sqrt{3x} } = \frac{4\sqrt{5} }{5\sqrt{3x} }

Then we rationalize the expression:
\frac{4\sqrt{5} }{5\sqrt{3x} } * \frac{\sqrt{3x} }{\sqrt{3x} } = \frac{4 \sqrt{15x} }{5*3x} = \frac{4 \sqrt{15x} }{15x}

<span>Finally, the simplified expression by rationalizing the denominator is (C)\frac{4 \sqrt{15x} }{15x}.</span>
7 0
3 years ago
Which of these is the algebraic expression for "5 less than 6 times some number"?
Pachacha [2.7K]
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7 0
2 years ago
A rectangular prism that has a length of 8 feet, width of 6 feet, and height of 12 feet. What is the volume of the prism? ft3
Lady bird [3.3K]

Answer:

The volume of the prism is 576 cubic feet

Step-by-step explanation:

Length of rectangular prism = 8 feet

Width of rectangular prism = 6 feet

Height of rectangular prism = 12 feet

Volume of rectangular prism = Length \times Breadth \times Height

Volume of rectangular prism =8 \times 6 \times 12

Volume of rectangular prism =576 feet^3

Hence the volume of the prism is 576 cubic feet

6 0
3 years ago
Read 2 more answers
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