3 years ago

A cylinder with a radius of 3 feet and a height of 5 feet is shown. What is the volume of the cylinder, in cubic feet?

Mathematics

1 answer:

irina1246 [14]3 years ago

4 0

Answer:

V = 141.37 $ft^{3}$

Step-by-step explanation:

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Please help with problems 6 and 7.

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Find the equation of the line that is perpendicular to y = - 1/3 x + 2 and passes though the point (-5,2)

elena55 [62]

Answer:

y - 2 = 3(x + 5)

Step-by-step explanation:

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Aiden wrote a riddle: Five less than 1/5 times a number is the same as the sume of the number and 1/3. Find the number.

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The number is -6.67

<em><u>Solution:</u></em>

Let "n" be the number

From given,

$\text{ Five less than 1/5 times a number } = \frac{1}{5}n - 5 = \frac{5}{n} - 5$

$\text{Sum of number and 1/3 } = n + \frac{1}{3} =\frac{3n+1}{3}$

Given that,

Five less than 1/5 times a number is the same as the sum of the number and 1/3

Therefore, we get,

$\frac{n}{5} - 5 = n + \frac{1}{3}\\\\Simplify\ the\ expression\\\\n - 25 = 5(n + \frac{1}{3})\\\\n - 25 = 5n + \frac{5}{3}\\\\n - 25 = \frac{15n + 5}{3}\\\\3n - 75 = 15n + 5\\\\12n = -80\\\\n = -6.67$

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Step-by-step explanation:

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