Algebra 2 Exam Review 2nd Semester Day 6

Find x. Round the result to the nearest hundredth.

• x = 17.57

• x = 29.19

• x = 16.58

• x = 13.24

Convert 12° to radians.

• 15π

• 405°

• 160°

• 80°

• 40°

Find the arc length of a sector with a radius of 5 feet and a central angle of 42°.

• 210π feet

• 1

• 0

Find sin 292°. Round to four decimal places.

• 0.3746

• -0.9272

• -0.4772

• -2.4751

A photographer points a camera at a window in a nearby building forming an angle of 44° with the camera platform. If the camera is 56 m from the building, how high above the platform is the window, to the nearest hundredth?

• 54.08 m

• 1.04 m

• 57.99 m

• 0.97 m

Find the area of a sector with a central angle of 90° and a radius of 13.1 mm. Round to the nearest tenth. Use 3.14 for pi if necessary.

• 7722.5 mm²

• 134.7 mm²

• 10.3 mm²

• 269.4 mm²

A highway map of Ohio has a coordinate grid superimposed on top of the state. Columbus is at point (-2, 2) and Cleveland is at point (-8, -3). The Columbus youth football team is going to Cleveland to see a professional football game. The map shows a highway rest area halfway between the cities. What are the coordinates of the rest area? What is the distance between Columbus and Cleveland to the nearest mile? (one unit = 19.21 miles)

• rest area = (0, 11/2), distance = 146 miles

• rest area = (-5, -1/2), distance = 150 miles

• rest area = (-5, -1/2), distance = 190 miles

• rest area = (3, 5/2), distance = 152 miles