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ZanzabumX [31]
3 years ago
15

Jason built a model of the Pentagon for a social studies project. He made each outside wall 33 centimeters long. What is the per

imeter of Jason’s model pentagon?
Mathematics
1 answer:
sammy [17]3 years ago
8 0

Answer:

165 centimeters

Step-by-step explanation:

A pentagon has 5 sides

Each side is 33 centimeters long

5 x 33 = 165

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MA_775_DIABLO [31]

<em>Answer: C</em>

<em />

<em />

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SOLUTION:

Step 1:

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Step 2:

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Which of the following are solutions to the equation below ?
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3 years ago
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Answer:

\large\boxed{A.\ (x+6)^2+(y+10)^2=20}

Step-by-step explanation:

The standard form of an equation of a circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

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The midpoint of a diameter is a center of a circle.

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)

Substitute:

x=\dfrac{-8+(-4)}{2}=\dfrac{-12}{2}=-6\\\\y=\dfrac{-6+(-14)}{2}=\dfrac{-20}{2}=-10

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The radius is the distance between a center and the point on a circumference of a circle.

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d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute (-6, -10) and (-8, -6):

r=\sqrt{(-8-(-6))^2+(-6-(-10))^2}=\sqrt{(-2)^2+4^2}=\sqrt{4+16}=\sqrt{20}

Finally we have

(x-(-6))^2+(y-(-10))^2=(\sqrt{20})^2\\\\(x+6)^2+(y+10)^2=20

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3 years ago
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