As a carpenter, you needə build a rectangular bookshelf for a client. The client wants the distance between the top of the bookshelf and the ceiling to be at least 2 1/2 feet. The floor-to-ceiling height of the room is 9 1/2feet. What is the maximum height, in feet, of the bookshelf?

In a circle, a 45° sector has an area of 32π cm2. what is the radius of this circle? 32 cm 12 cm 16 cm 8 cm

Explain why the function is discontinuous at the given number a. (select all that apply.) f(x) = 1 x + 1 a = −1 f(−1) is undefined. lim x→−1+ f(x) and lim x→−1− f(x) exist, but are not equal. lim x→−1 f(x) does not exist. f(−1) and lim x→−1 f(x) exist, but are not equal. none of the above

Plz hurry evaluate the expression a+b where a=8 and b=19