Building codes typically require 7 inches in rise for every inches in tread for standard stair. Although stairs can have up to 8 inches in rise and 12 inches in tread, each change makes the stairs less comfortable to navigate. In the new home being built, the builders need to construct stairs to code for a lower deck. Dimension of the full stair will be 70 inches vertically and 110 inches horizontally

The angles below are supplementary. what is the value of x? a pair of supplementary angles is shown. one angle measures 7x + 33, and the other angle measures 70. 5.3 8.14 11 14.7

Find an equation of the line perpendicular to the graph of 28x-7y=9 that passes through the point at (4,1)

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 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)