Acar wheel has a 13-inch radius. through what angle does the wheel turn when the car rolls forward 3 ft?

158.7°

Step-by-step explanation:

Data:

r = 13 in

s = 3 ft

Calculations:

(a) Convert feet to inches

s = 3 ft × (12 in/1 ft) = 36 in

(b) Calculate the angle

Let θ = the angle subtended by the arc.

s = rθ

θ = s/r  = 36/13  ≈ 2.7692 rad

Convert radians to degrees

2.7692 rad × (360°/2π rad) = 158.7°

The wheel travels through an arc of 158.7°.

Step-by-step explanation:

Givens:

refers to the length of the circumference, which is the same distance rolled.

So, to find the angle, we have to use this definition:

; which is the relation between arc, angle and length.

Before, replacing all values, we have to transform 13 inches in feet. We know that 1 feet is 12 inches. So,

Now, we find the angle.

Therefore, the angle is 2.78 radians.

To have it in degrees, we have to transform.

he spend 5.1 minutes chatting with his friends.

step-by-step explanation:

2/5+1/2=9/10

6/1-9/10=5.1

4th option is correct xy=-10

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