Mae is checking her bicycle's wheel. The wheel has a radius of 28 cm, and its center is 42 cm above the ground. Mae is rotating the wheel at a constant speed of 190°/s. The height of a point on the tire as a function of time is given by h = 42 + 28 sin(190t), where h is the height in centimeters and t is the time in seconds. Find h when t = 2 s. Find your answer to the nearest tenth of a centimeter.

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?