Question

PLEASE HELP ME WITH THESE 2 QUESTIONS PLZ

Answer 1

Answers: a = $\frac{3\pi}{2}$, b = (0, -1), c = C, d = 0

Explanation:

a) Add 2π $(\frac{4\pi}{2})$ until you get a positive value.

$-\frac{\pi}{2}$ + $\frac{4\pi}{2}$ = $\frac{3\pi}{2}$, which is located on the y-axis at 270°

b) Look at the Unit Circle to find the coordinates of $\frac{3\pi}{2}$ = (0, -1)

c) cot = $\frac{adjacent}{opposite}$ = $\frac{x}{y}$

d) $\frac{x}{y}$ = $\frac{0}{-1}$ = 0

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Answer: 471.24

Explanation:

angular speed (w) = $\frac{1(revolution)}{30(minutes)} *\frac{2\pi(radians)}{1(revolution)} *\frac{60(minutes)}{1(hour)}$

                            = 4π radians/hour

linear speed (v) = r * w

                          = $\frac{75(meters)}{2} * \frac{4\pi(radians)}{hour}$

                           = 150π meters/hour

                           ≈ 471.24 meters/hour