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 20 feet and the height from the ground to the front doors is 6 feet, how long is the ramp? (Round to the nearest tenth.) (5 points)

Use synthetic division to determine whether the number k is an upper or lower bound (as specified for the real zeros of the function f). k = 4; f(x) = 4×4 – 3×3 – 2×2 – 5x – 4; Upper bound? (5 points)

Use the Rational Zeros Theorem to write a list of all potential rational zeros. (5 points) f(x) = 13×3 + 23×2 + 2x – 26  

Use ACI 318-14 Table 25.4.2.2 to determine the development length for the straight tension bars (no hooks) in a rectangular beam with b = 16 in. and d = 22 in., four uncoated No. 9 Grade 60 bars placed in the top of the beam, and No. 4 Grade 60 stirrups located every 10 in. along the span. Assume 4,000-psi lightweight concrete and a clear cover of 2 in.

Find an exact value. sin 105° (6 points)

Teresa va a [q10] a caballo los fines de semana.

Write the quadratic function in vertex form. (5 points) y = x2 + 18x + 71  

In which type of splice is the force in one bar transferred to the concrete, which then transfers it to the adjacent bar?

Divide using synthetic division, and write a summary statement in fraction form. (5 points)    

Convert the angle 57°29’38” to decimal degrees, and round to the nearest hundredth of a degree. (5 points)