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3 years ago

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Mathematics

1 answer:

zalisa [80]3 years ago

8 0

It is showing growth.

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Find the area of the regular polygon

Y_Kistochka [10]

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)) )

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

$a = \frac{12}{2 * tan (\frac{180}{6} )}$

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

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

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

$a = \frac{6*3}{\sqrt{3}}$

$a = \frac{18}{\sqrt{3}}$

Now, finally, to find the area of a regular polygon, we use the following equation:

Area (A) = ( apothem (a) * perimeter (p) ) / 2

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

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

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

$A = \frac{640}{\sqrt{3}}$

Turning into a decimal:

$A = 374.123 ft ^2$

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2 years ago

Joan is hiking. She wants to cover 1,600 feet. She hikes 600 feet every 3 hours.

dimaraw [331]

Y=200x. it will take joan 8 hours to hike 1600 ft.

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3 years ago

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Does anyone know the answer to this please help

Finger [1]

Answer:

Sin M= 16/34

Cos M= 30/34

Tan M= 16/30

Step-by-step explanation:

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lbvjy [14]

Answer:

61/10 or in decimal form 6.1 or 6 1/10

Step-by-step explanation:

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The garden club earned $15, 15 per hour by weeding neighborhood gardens for t hours. A generous donor has agreed to double their

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The answer should be $30.

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