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1. Find the area of a sector having a central angle of 60° in a circle of radius 8 inches.
2. Find the perimeter and area of a circular sector whose angle is 3.5 radians if the circumference of the circle is 58 ft.
3. A point on the wheel of radius 10 feet moves with a linear velocity of 40 feet per second. Find the angular velocity of the wheel in radians per second and in RPM
4. Find the speed in radians and in degrees per second of disc revolving at 90 RPM.
5. A belt moving at 60 feet per second drives a pulley at 240 RPM. Find the diameter of the pulley
6. A car's wheel is 3 feet in diameter. Find its angular velocity if the car travels at 60 miles per hour.
Find elementary matrices E,F,G and a matrix R in row-echelon form such that the following matrix A is equal to EFGR.
The following pairs of functions, graph each one together in Desmos, show on your graph and find the area between them bounded by the given values of x.
The monthly incomes of trainees at a local mill are normally distributed with a mean of $1,100 and a standard deviation of $150. find the probability that a randomly selected employee earns less than $900 a month.
Evaluate the function for the values of x given as 1,2,4,8,16. Describe the differences in the rate at which each function changes with the increasing values of x.
You can operate a train if at least 200 people buy tickets. The fare will be $8 per person if 200 people buy tickets, but will decrease 1 cent for each additional person over 200. what number of passangers will bring the railroad the maximum reven..
This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B.
After t hours on the job, one factory worker is producing Q'1(t) = 60 - 2(t - 1)^2 units per hour, while a second worker is producing Q'2(t) = 50 - 5t units per hour.
Identification of the Slope and y-intercept, and x-intercept of the given equation
Let G be a group. x and y are elements of G. Prove that: The inverse of xy is y^-1x^-1. The identity element, e, is unique
In the Department of Education at UR University, student records suggest that the population of students spends an average of 5.10 hours per week playing organized sports. The population's standard deviation is 2.00 hours per week.
How many times does the athlete's heart beat during the first 20 minutes of the workout? Give your answer to the nearest complete heartbeat.
Prove that there is a bijection from the open interval (0, 1) to the half-open interval (0, 1].
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