Acarousel with a 40-foot diameter makes 3 revolutions per minute. (a) find the angular speed of the carousel in radians per minute. (round your answer to two decimal places.) 18.84 incorrect: your answer is incorrect. radians per minute (b) find the linear speed (in feet per minute) of the platform rim of the carousel. (round your answer to two decimal places.) feet per minute

A). 18.84 radians per minute

B). 376.80 feet per minute

Step-by-step explanation:

As we know carousal is moving with 3 revolutions per minute.

(a). Angular speed = 3 revolutions per minute

                               = 3 × (2π) per minute

                               = 6π per minute

                               = 6×(3.14)

                               = 18.84 radians per minute

B). Since linear speed = Radius × Angular speed

                                     =

                                     = 20 × 18.84

                                      = 376.80 feet per minute

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950