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The diameter of a basketball rim is 18 inches. A standard basketball has a circumference of 30 inches. What is the distance between the ball and the rim in a shot in which the ball goes exactly in the center of the rim? Show your work.
(4 points)
To find the distance between the ball and the rim, we need to subtract half the circumference of the basketball from the radius of the rim.
Given that the diameter of the rim is 18 inches, we can find the radius by dividing the diameter by 2:
Radius of the rim = 18 inches / 2 = 9 inches
Now, we need to find half the circumference of the basketball. Since the circumference is 30 inches, we divide it by 2:
Half circumference of the basketball = 30 inches / 2 = 15 inches
Finally, we subtract half the circumference of the basketball from the radius of the rim to find the distance between the ball and the rim:
Distance between the ball and the rim = Radius of the rim - Half circumference of the basketball
Distance between the ball and the rim = 9 inches - 15 inches
Distance between the ball and the rim = -6 inches
Therefore, the distance between the ball and the rim in a shot where the ball goes exactly in the center of the rim is -6 inches.