A pendulum is set swinging. Its first oscillation is through an angle of 20, and each followingoscillation

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A pendulum is set swinging. Its first oscillation is through an angle of 20°, and each followingoscillation is through 95% of the angle of the one  before it.

a. After how many swings is the angle through which it swings less than 1°?

b. What is the total angle it has swung through at the end of its tenth oscillation?

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