A circular cylinder has a base with a radius of 7.5 centimeters and a height of 12 centime- ters. A rectangular prism has a square base and a height of 8.0 centimeters. If the cylinder
and the prism have equal volumes, what is the length of the base of the prism to the nearest-
tenth?

Astandard deck of cards contains 52 cards. one card is selected from the deck. (a) compute the probability of randomly selecting a diamond or heart. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability of randomly selecting a diamond or heart or club. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability of randomly selecting queen or club. (type an integer or a decimal rounded to three decimal places as needed.)

Which complex number has a distance of {17} from the origin on the complex plane? 2 + 151 17 + 1 20 – 31 4-1

3. is it possible to solve x (t ) for t, substitute it into y(t) to eliminate the parameter, t, and write it as a rectangular equation with x and y instead? why or why not? these are the equations i am working with: •x (t)=0.0411905(t^2)+(-0.164619)t+28.0114 and • y (t)=-0.024127(t^2)+(-0.591143)t+(-87.4403)