Prof Bruns MAT 109 OL (alt) Midterm Name
⦁ Find the Domain and Range for .
Dom: Range:
⦁ Simplify
⦁ The total amount paid for a car is . Set up an equation that includes the total amount paid for the car, the original price of the car, , and a tax. Then solve the equation to find the original price of the car before tax .
⦁ (a) What is the exact value of ? [Keep answer in radical form]
(b) If , find two values for angle .
⦁ A waterslide is long . The top of the slide is above the ground. Find the angle of elevation of the waterslide.
⦁ Solve for in terms of if
⦁ In triangle ABC, the lengths of the sides in feet are . Find angle C.
⦁ Find the equation of the line through the points and .
⦁ For the lines with the following equations and , is the point on both lines? Explain your answer both graphically and algebraically.
⦁ In right triangle ABC, angle C = 90 degrees. Angle A = 40 degrees and the length of the leg opposite angle B is 18 feet. Find the length of the hypotenuse to the nearest tenth.
