The Skyview Atlanta in Atlanta, Georgia is a super-sized Ferris wheel that overlooks the city

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

3 0

Answer:

btw, u r not supposed to ask questions directly from assignments, quizzes, etc.

Step-by-step explanation:

the total distance traveled by a person sitting in the Ferris wheel would be

(if the full ride is 2 revolutions) => 2 ( 2πr) [ 2 times the circumference of the ferris wheel]

therefore,

=> 2 x (2 x 3.14 x 200)

=> 2 x 1256

=> 2512 feet

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$\bf \stackrel{\textit{perimeter of the rectangle}}{P_{rect}=2x+y}~\hfill \stackrel{\textit{area of the rectangle}}{A_{rect}=xy}
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\stackrel{\textit{perimeter of the semi-circle, with }r=\frac{y}{2}}{P_{semic}=\cfrac{\pi y}{2}}~\hfill \stackrel{\textit{area of the semi-circle with }r=\frac{y}{2}}{A_{semic}=\cfrac{\pi y^2}{8}}
\\\\[-0.35em]
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\\\\[-0.35em]
\rule{34em}{0.25pt}$

$\bf \stackrel{\textit{area of the enclosure}}{A=xy+\cfrac{\pi y^2}{8}}\implies A=\left( \cfrac{120-2y-\pi y}{4} \right)y+\cfrac{\pi y^2}{8}
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\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill A=30y-\cfrac{1}{2}y^2-\cfrac{1}{8}\pi y^2~\hfill$