Precalculus TEST 5.1-5.3 retake

Change 150° to radian measure in terms of π. Leave in fraction (or whole number) form.

• 5π/6

• 2π/5

• π/3

• π/4

Tags

CCSS.HSF.TF.A.1

Convert the given angle to decimal degree form: 245°45'18". Round to two places if necessary.

• 245.76°

• 245.45°

• 246.18°

• 244.75°

Tags

CCSS.HSF.TF.A.1

Find the supplement of angle π/12 = θ in radians. Leave your answer in fraction or whole number form.

• 11π/12

• π/24

• 5π/12

• 7π/12

Tags

CCSS.7.G.B.5

Express the angle in degree measure: 5π/12

• 75°

• 60°

• 90°

• 120°

Tags

CCSS.HSF.TF.A.1

Convert the measure from degrees to radians: 275°. Leave in fraction or whole number form.

• 11π/9

• 5π/6

• 7π/8

• 3π/4

Tags

CCSS.HSF.TF.A.1

A clock has a minute hand that is 15 cm long. Calculate the distance in cm that the tip of the minute hand travels when it moves through an angle of 150°.

• 39.27 cm

• 19.63 cm

• 31.42 cm

• 47.12 cm

Tags

CCSS.HSG.C.B.5

The tip of a fan blade moves at a speed of 40 cm/s. If the length of the blade (radius) is 25 cm, what is the angular speed of the fan in radians per second? Round your answer to two decimal places if needed.

• 1.60 radians/second

• 0.63 radians/second

• 2.50 radians/second

• 1.25 radians/second

A car tire with a radius of 15 inches rotates at a rate of 1.5 revolutions per second. What is the speed of a point on the edge of the tire in inches per second?

• 141.37 inches/second

• 70.69 inches/second

• 94.25 inches/second

• 47.12 inches/second

A circular track has a radius of 2 feet. What is the arc length in feet that corresponds to a central angle of π/3?

• 2.09 feet

• 1.05 feet

• 4.19 feet

• 3.14 feet

Tags

CCSS.HSG.C.B.5

Draw triangles in correct quadrant and label sides: Use the unit circle and find the exact value of:

• sin(5π/6) = 1/2

• sin(5π/6) = -1/2

• sin(5π/6) = √3/2

• sin(5π/6) = -√3/2

Tags

CCSS.HSF.TF.A.2