Question

PLEASE HELP ME WITH THESE 2 QUESTIONS PLZ

Answer 1

Answers: a =
`(3\pi)/(2)`, b = (0, -1), c = C, d = 0

Step-by-step explanation:

a) Add 2π
`((4\pi)/(2))` until you get a positive value.

`-(\pi)/(2)` +
`(4\pi)/(2)` =
`(3\pi)/(2)`, which is located on the y-axis at 270°

b) Look at the Unit Circle to find the coordinates of
`(3\pi)/(2)` = (0, -1)

c) cot =
`(adjacent)/(opposite)` =
`(x)/(y)`

d)
`(x)/(y)` =
`(0)/(-1)` = 0

*****************************************************************************

Answer: 471.24

Step-by-step explanation:

angular speed (w) =
`(1(revolution))/(30(minutes)) *(2\pi(radians))/(1(revolution)) *(60(minutes))/(1(hour))`

= 4π radians/hour

linear speed (v) = r * w

=
`(75(meters))/(2) * (4\pi(radians))/(hour)`

= 150π meters/hour

≈ 471.24 meters/hour