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

Verify the identity.sin = cos x (7 points) 

Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. 240° (5 points)

State the horizontal asymptote of the rational function. (5 points)f(x) =  

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)

Alternate span loading is the common loading pattern for determining maximum negative moments at supports due to live load.

Determine the transverse reinforcement index, Ktr, for a rectangular beam with b = 17 in. and d = 23 in., five galvanized No. 9 Grade 60 tension-reinforcement bars placed in the top of the beam, and No. 3 Grade 40 stirrups located every 6 in. along the span. Assume 7,000-psi lightweight concrete and a clear cover of 2 in.

Use the Factor Theorem to determine whether the first polynomial is a factor of the second polynomial. x – 2; 4×2 – 3x + 22 (5 points)

It’s a good idea to spread your marketing budget across many platforms and try to reach everyone.

Find cot θ if csc θ = and tan θ > 0. (6 points)