To make room for the new baby, Glenn is adding a room to his house. The blueprints for the addition indicate that the room should be a rectangle with dimensions of 12 ft wide by 16 ft long. Glenn just finished the framing and wants to make sure the room is a perfect rectangle before he starts putting up the drywall. To do this he measures the diagonals of the room, which should be the same length. How long should each diagonal be?

Astandard deck of cards contains 52 cards. one card is selected from the deck. (a) compute the probability of randomly selecting a seven or king. (b) compute the probability of randomly selecting a seven or king or jack. (c) compute the probability of randomly selecting a queen or spade.

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

Sum is 17 and their difference is 3