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ArbitrLikvidat [17]
3 years ago
7

A parking lot in a shape of a trapezoid has an area of 12,052.1 square meters.the lean the of one base is 82.4 meters and the le

ngth of the other base is 108.6 meters.what is the height of the parking lot?
Mathematics
1 answer:
Gnesinka [82]3 years ago
7 0

Answer:

126.2 meters

Step-by-step explanation:

A trapezoid's area is found using the formula A = 1/2 (a+b)h where a and b are the two bases. Substitute A = 12,052.1, a = 82.4 and b=108.6. Then solve for h.

A = 0.5(a+b)h

12,052.1 = 0.5(82.4 + 108.6)*h

12,052.1 = 0.5(191)h

12,052.1 = 95.5h

126.2 = h

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A player kicks a soccer ball from a height of 2 feet. The ball reaches A maximum height of 20 feet after traveling 40 feet horiz
Artyom0805 [142]

The height is 9.875 feet from which the goalkeeper catches the ball.

The player kicks soccer from a height of 2 feet

x = 0 and y = 2

Maximum height of 20 feet after traveling 40 feet

x = 40, y = 20

So let y = a(x - 40)² + 20  ( the path of parabola)

Since x = 0 , y = 2

So, 2 = a(0 - 40)² + 20

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Thus, y = -9/800(x - 40)² + 20

Since the soccer is caught by the goalkeeper 70 feet from where it was kicked

x = 70

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Therefore the height at which the goalkeeper catches the ball is 9.875 feet.

To know more about the height refer to the link given below:

brainly.com/question/27030273

#SPJ1

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