A water tower that is 132 feet tall casts a 48-foot long shadow. If Shannon is 1 point 5'6" inches tall and standing near the tower, find the length of her shadow.

Annie walked her dog 2 1/4 miles from her house to the dog park and 3/7/8 miles around the park. then she walked the same distance home. how many miles did she walk in all?

Prove the divisibility of the following numbers: ! i have no any is 1. 16^5 + 2^15 by 33 2. 15^7 + 5^13 by 30

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .