The angle of depression of a point. P. on the ground from the top. T. of a building is 23.6 If the horizontal distance from P to the base of the building is 50 m, calculate, correct three significant figures, the height of the building.​

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

One side of a rectangle is 7 centimeters shorter than six times the other side. find the length of the longer side if we also know that the perimeter of the rectangle is 266 centimeters.

Alistair has 5 half-pounds chocalate bars. it takes 1 1/2 pounds of chocalate, broken into chunks, to make a batch of cookies. how many batches can alistair mke with chocalate he has on his hand?