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kobusy [5.1K]
3 years ago
5

What is the volume in cubic feet of a cylinder with a height of 3 feet and base radius of 2

Mathematics
1 answer:
Verdich [7]3 years ago
7 0

<em>V≈37.7ft³</em>

<em />

<h2><em>You're welcome...</em></h2>
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The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.
Varvara68 [4.7K]

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

Hypotenuse:37.56

Other\ Legs: 26.56

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

y = 11 + x

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

y^2 = x^2 + x^2

y^2 = 2x^2

This gives:

(11+x)^2 = 2x^2

Open bracket

121 + 22x + x^2= 2x^2

Collect like terms

2x^2 - x^2 -22x - 121 = 0

x^2 -22x - 121 = 0

Using quadratic formula:

x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}

x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}

x = \frac{-(-22)\±\sqrt{968}}{2*1}

x = \frac{22\±31.11}{2}

Split

x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\

x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}

x can not be negative.

So:

x = \frac{53.11}{2}

x = 26.56

Recall that:

y = 11 + x

y = 11 + 26.56

y = 37.56

Hence, the dimensions are:

Hypotenuse:37.56

Other\ Legs: 26.56

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3 years ago
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Answer:

9 students chose duck

Step-by-step explanation:

The question says "6 <em><u>more</u></em> students chose duck <em><u>than</u></em> chose penguin"

This means that you would add 6 to the number that chose penguin, which is 3.

6 + 3 = 9

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Answer:

Step-by-step explanation:

74939e+1364

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3 years ago
What is supplementary to &lt;7 ??
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<8 ,    
<7 and <8 form a linear pair

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What is the expanded form of 5³?
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5 x 5 x 5
Expanded just means writing it out as you would solve it. So solving a cube would be multiplying the number by itself 3 times
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