Two arcs of concentric circles are intercepted by the same central angle. the resulting arc length of the arc of the smaller circle is 36 ft and its radius is 30 ft. the radius of the larger circle is 45 ft. find the length of the corresponding arc of the larger circle

What is the value of the expression below? (81^2)^1/8

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.

Find the length of the normal and the angle it makes with the positive x-axis. (see pictured below)