Solve the inequality. Show all work on scratch paper.x2 – 7x – 8 ≤ 0

If A denotes the area of the sector of a circle of radius r formed by the central angle θ, find the missing quantity. If necessary, round the answer to two decimal places. Show all work on scratch paper.r = 39.7 centimeters, θ = radians, A = ?

Find the domain of the rational function. Show all work on scratch paper.R(x) =

Solve the inequality. Show all work on scratch paper. < 5

Find the exact value under the given conditions. Show all work on scratch paper. sin α = , 0 < α < ; cos β = , 0 < β < Find cos (α + β).  

Find the sum of the arithmetic sequence. Show all work on scratch paper.2 + 4 + 6 + … + 350

Solve the problem.Two points A and B are on opposite sides of a building. A surveyor selects a third point C to place a transit. Point C is 45 feet from point A and 73 feet from point B. The angle ACB is 53°. How far apart are points A and B? Show all work on scratch paper.

Use the information given about the angle θ, 0 ≤ θ ≤ 2π, to find the exact value of the indicated trigonometric function. Show all work on scratch paper. sec θ = 4, 0 < θ < Find cos .  

Find the exact value of the indicated trigonometric function of θ.  cos θ = , tan θ < 0 Find sin θ. Show all work on scratch paper.

Find the reference angle of the given angle. Show all work on scratch paper.428°