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miv72 [106K]
3 years ago
5

What is the volume of a cube with a side length of 5?

Mathematics
1 answer:
larisa [96]3 years ago
6 0

Answer:

125

Step-by-step explanation:

L x W x H

All are equal sides so 5 are all the lengths of each side of the cube.

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Rewrite the expression with rational exponents as a radical expression. 7 times x to the two thirds power
Daniel [21]

Answer:

(7x)^{\frac{2}{3}}=\sqrt[3]{49x^{2} }

Step-by-step explanation:

We have been given the expression;

7 times x to the two thirds power which can be written mathematically as;

(7x)^{\frac{2}{3}}

To express the above expression as a radical, we need to recall that;

a^{\frac{b}{n}}=\sqrt[n]{a^{b}}

Therefore;

(7x)^{\frac{2}{3}}=\sqrt[3]{(7x)^{2} }\\\\=\sqrt[3]{49x^{2} }

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3 years ago
The bottom of Ignacio's desktop is 74.5cm from the floor. Ignacio's sits in his adjustable chair, and the tops of his legs are 4
dsp73

Answer:

Ignacio can make 5 clockwise rotations.

Step-by-step explanation:

Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:

4.8r + 49.3 < 74.5  where 'r' is equal to the number of rotations

The sum of the Ignacio's original leg height plus the amount of height increased from the rotations of the know must be less than 74.5 in order for his legs not to touch.  Now, solve for 'r':

Subtract 49.3 from both sides:  4.8r + 49.3 - 49.3 < 74.5 - 49.3 or 4.8r < 25.2

Divide 4.8 from both sides:  4.8r/4.8 < 25.2/4.8 or  r < 5.25

Since the number of rotations must be less than 5.25, he can make 5 complete rotations.  

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3 years ago
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