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MakcuM [25]
3 years ago
14

A state park is designed in a circular pattern as shown. A park ranger drives along the circular path from the ranger station to

the nature center and then from the nature center to the petting zoo. How far does he drive to the nearest tenth of a mile?
A) 1.7 miles
B) 2.3 miles
C) 3.7 miles
D) 4.7 miles
Mathematics
1 answer:
Alex777 [14]3 years ago
7 0
HOPE THIS HELPS U
Given:Ranger Station to Nature Center = 90°Nature Center to petting zoo = 40°Petting Zoo to Tennis Court = 120°Tennis Court to Pool = 65°Pool to Ranger Station = 45°radius = 1 mile
arc length = 2πr angle/360°
Ranger station to nature center.
arc length = 2 * 3.14 * 1 mile * 90°/360°arc length = 2 * 3.14 * 1 mile * 0.25arc length = 1.57 miles
Nature center to Petting Zoo
arc length = 2 * 3.14 * 1 mile * 40°/360°arc length = 2 * 3.14 * 1 mile * 0.11arc length = 0.70 miles
1.57 miles + 0.70 miles = 2.27 miles or 2.3 miles CHOICE B

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rondhesha chodado in The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.

So you have the perimeter, P, can be found by doing u+u+v+v.

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P=2u+2v.

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The left hand side does too since 4x+12 can be factored as 2(2x+6).

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This implies v is 2x+6.

Let's check our work.

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