Rayna is building a tapered staircase using wooden boards. The bottom stair is 312 ft wide, and the top stair is 216 ft wide. Each stair is 4 in. shorter than the one below. What is the total length of wooden boards Rayna needs for the stair tops, in feet? Enter your answer in the box as an improper fraction.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

The paint recipe also calls for 1/4 cup of food coloring. tyler says mrs. mcglashan will also need 6 cups of food coloring. do u agree or disagree? explain.

Tamar is measuring the sides and angles of tuv to determine whether it is congruent to the triangle below. which pair of measurements would eliminate the possibility that the triangles are congruent