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Gnesinka [82]
3 years ago
8

Priya rode her bike 1250 feet. If her bike wheel has a diameter of 2.5 feet, how many times did her wheel make a full rotation?

*
9 points
79 times
159 times
398 times
Mathematics
1 answer:
Alex17521 [72]3 years ago
5 0

Answer:

  • 159 times

Step-by-step explanation:

<h3>Given</h3>
  • d = 2.5 ft
  • Distance = 1250 ft
<h3>To find</h3>
  • Number of rotations
<h3>Solution</h3>

<u>Circumference of the wheel is the one full rotation:</u>

  • C = πd = 3.14*2.5 = 7.85 ft

<u>Number rotations:</u>

  • 1250/7.85 = 159.2

<u>Correct option is</u> 159 times

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Step-by-step explanation:

The distance between two points (x_1,y_1),\ (x_2,y_2) is given by \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

Here A(1,5),\ B(3,-2),\ C(-3,0) are the vertices of a triangle.

AB=\sqrt{(-2-5)^2+(3-1)^2}=\sqrt{(-7)^2+(2)^2}=\sqrt{49+4}=\sqrt{53}=7.28\ unit\\\\BC=\sqrt{(0+2)^2+(-3-3)^2}=\sqrt{(2)^2+(-6)^2}=\sqrt{4+36}=\sqrt{40}=6.32\ unit\\\\CA=\sqrt{(5-0)^2+(1+3)^2}=\sqrt{(5)^2+(4)^2}=\sqrt{25+16}=\sqrt{41}=6.40\ unit

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