A lighthouse is built on the edge of a cliff near the ocean, as shown in the accompanying diagram. From a boat located 250 feet from the base of the cliff, the
angle of elevation to the top of the cliff is 19° and the angle of elevation to the top of
the lighthouse is 29º. What is the height of the lighthouse, X, to the nearest tenth of a
foot?

In the football stadium, there are 18 empty seats out of 360 total seats. (1a) write the ratio of empty seats to total seats as a fraction in simplest form. (1b) then explain its meaning.

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?

Find the domain and range of the following function f(x) = 51x - 21+ 4