Agarden is in the shape of a square with a perimeter of 48 feet. the garden is surrounded by two fences. one fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside. if the materials ised to build the two fences is $1.36 per foot, what was the total cost of the fences

You are updating your garage and the only thing left to paint is your garage day. you're only going to paint the slide that faces the street. the garage door is 9 fert 8inches tall and 120 inches wide. you need to know the surface area of the side of the garage door to determine how much paint to buy. the hardware store sells paint by how much covers a square foot. what is the surface area you should report to the hardware store what is the answer

The volume of a sphere is increased by 6%. calculate the corresponding percentage increased in it area.

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) = .