Find the area of the shaded region. Round your answer to the nearest hundredth.
1 answer:
Answer:
Step-by-step explanation:
The formula for finding the area of a pentagon(regular) given 1 side is
A =
s (the side) = 12
Area =
Area =
Area = sqrt(5(5 + 2*2.2361) * 36
Area = sqrt(5( 5 + 4.4721)) * 36
Area = sqrt(5*9.4721) * 36
Area = sqrt(47.3606) * 36
Area = 6.882 * 36
Area = 247.7485
The area of the circle = pi r*2 but we don't have r.
If you know any trig, the formula for the radius of the circle is
R = s/(2*sin(180)/n) n = 5 because you are using a 5 sided figure.
R = 12/(2*sin(180/5)
R = 12/2* sin(36)
R = 6 / sin(36)
R = 10.207
So the area of the circle is pi * R^2
Area = 3.14 * 10.2078^2
Area = 327.1854
The area of the shaded part is the difference between the 2 areas we found
Answer: 327.1854 - 247.7485
Answer: 79.44
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Answer:
Number of hot dogs sold = 56
Number of hamburgers sold = 52
Step-by-step explanation:
Let
Number of hot dogs sold = x
Number of hamburgers sold = y
We can make equation from given equations:
(Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold for $1 (one dollar). The total money raised by your class was $80. )
(Together you sold 108 hot dogs and hamburgers.)
Now we cam solve these system of equations to find value of x and y
Subtract both equations to get value of x:
We get value of x = 56
Now putting value of x in equation 2 to find value of y
So, we get y = 52
Therefore,
Number of hot dogs sold = x = 56
Number of hamburgers sold = y = 52