A building has a ramp to its front doors to accommodate the handicapped. If the distance from the building to the end of the ramp is 13 feet and the height from the ground to the front doors is 5 feet, how long is the ramp? (Round to the nearest tenth.) (5 points)

Find an equation in standard form for the hyperbola with vertices at (0, ±8) and asymptotes at y = ± x. (5 points)

Adjacent span loading is the common loading pattern for determining maximum shear at the supports between the loaded spans due to dead load.

Solve the triangle. A = 52°, b = 10, c = 7 (5 points)

Solve the triangle. A = 19°, C = 102°, c = 6 (5 points)

The position of an object at time t is given by s(t) = -9 – 5t. Find the instantaneous velocity at t = 4 by finding the derivative. (5 points)

Determine whether the sequence converges or diverges. If it converges, give the limit. 108, -18, 3, , …  (7 points)

A beam has dimensions of b = 20 in., h = 10 in., and d = 7.5 in. and is reinforced with 5 No. 9 bars. The concrete strength is 5,300 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 4.242 in., does the reinforcement yield?

The determination of whether a reinforced concrete floor system is classified as a one-way or two-way system is based on the ratio of the span lengths for the floor slab in the two principal vertical directions.

Determine As,min for the following beam given that f’c = 4,000 psi and fy = 60,000 psi.