An escalator at a science center is 84 feet long and is used to transport passengers a vertical distance of 45 feet to the second floor
of the science center. What is the angle with the first floor needed for
the escalator to reach the second floor? (Please use the exact ratio to
calculate the angle and round your answer to the nearest tenth).

Neveah and clint are baking muffins for the bake sale. they need to bake 30 muffins for their display case. clint has baked 4 so far, and neveah has baked 7. how many muffins (m) do they have left to bake? show your work!

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?

James was playing a game with his friends. he won 35 points. then he lost 15, lost 40 and won 55. how did he come out