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Allushta [10]
3 years ago
5

Need help with this question please <<><>>

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
4 0

9514 1404 393

Answer:

  √7

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the sides. Let x represent the unknown side. Then we have ...

  x² +9² = (√88)²

  x² +81 = 88

  x² = 7 . . . subtract 81; next, take the (positive) square root

  x = √7 . . . . the third side

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Answer:

A = 374.123 ft^2

Step-by-step explanation:

First, lets calculate the perimeter:

Perimeter (p) = side length (s) * number of sides (n)

p = s * n

p = 12 * 6

p = 72

Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.

Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )

a = \frac{s}{2 * tan (\frac{180}{n} )}

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a = \frac{12}{\frac{2\sqrt{3} }{3}}

a = \frac{12*3}{2\sqrt{3}}

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A = \frac{a * p}{2}

A = \frac{\frac{18}{\sqrt{3} }  * 72}{2}

A = \frac{18}{\sqrt{3}}  * 36

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Turning into a decimal:

A = 374.123 ft ^2

8 0
3 years ago
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Work Shown:

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Answer:

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Answer:

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Step-by-step explanation:

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