The wooden treehouse has horizontal siding that is parallel to the base. What are the LM and MN to the nearest hundredth?

Refer to the image.

Josephine has a great garden with and area of 2x2 + x - 6 square feet

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) = .

8. kelly wants to buy a magazine that is $25. later the magazine was marked up an additional 20%. what is the new price?