An antenna is on top of an 80 foot building, 12 feet from the edge. from a point 60 feet from the base of the building, the angle from ground level to the top of the antenna is 68 degrees. find the height of the antenna to the nearest foot

F(n + 1) = f(n) – 8. if f(1) = 100, what is f(6)?

George is putting trim around his rectangular deck, including the gate. he will need 44 feet of trim to do the entire deck. if the deck is 13 feet long, how wide is the deck?

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.