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N76 [4]
2 years ago
5

The rear wheel of a lawn tractor has a 20-inch radius. Find the angle (in radians) through which a wheel rotates in 23 seconds i

f the tractor is traveling at a speed of 13 miles per hour? Round to the nearest tenth if necessary.
Mathematics
1 answer:
Minchanka [31]2 years ago
8 0

Answer:

263.12 radians

Step-by-step explanation:

The length of the rear wheel is given by:

L=2\pi r\\L=40\pi

The distance traveled by the lawn tractor in 23 seconds is:

d=13\frac{miles}{hour} *63360\frac{inch}{miles}*\frac{1\ hour}{3600\ seconds}*23\ seconds\\ d=5,262.4\ inches

The angle through which a wheel rotates is given by:

A=\frac{d}{L}*2\pi \\A=\frac{5,262.4}{40\pi}*2\pi\\A=263.12\ radians

The wheel rotates through a 263.12 radians angle.

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Answer:

  (b) (-5, 1)

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Step-by-step explanation:

The coordinate differences between the given points are ...

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The length of the line segment between the points is √(4² +5²) = √41, so this is the side of the square, not a diagonal.

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