Fill in the blanks (solving arms fed linear equations)

Atheater wants to build movable steps that they can use to go on and off the stage. they want the steps to have enough space inside so they can also be used to store props. how much space is inside the steps?

Prove sin2a + cos2a - 1 / sin2a + cos2a + 1 = 1 - tana / 1 + cota

Student representatives surveyed their classmates on their preference of a school mascot for a new school. the results are shown in the table below. which pair of samples seems most representative of student preference?