Given a central angle of 105°, find the length of its intercepted arc in a circle of radius 6 centimeters. Round to the nearest tenth.
What is 11.0 cm
100
Simplify cos x + cos x tan2 x.
What is sec x
100
Find domain and range of [(-2,2),(1,2),(2,3)]
What is Domain: -2,1,2 and Range:2,3
100
If y varies inversely as the cube of x and y = 8 when x = 2, find
x when y = 1.
What is x = 4
100
A clothes dryer is rotating at 450 revolutions per minute. Determine its angular velocity in radians per second. Round to the nearest tenth.
What is 47.1 radians/s
200
Determine the angular velocity if 4.5 revolutions are completed in 7 seconds. Round to the nearest tenth.
What is 4.0 radians/s
200
The point nearest to the origin on a line is at (-4,4). Find the standard form of the equation of the line.
What is x - y + 8 = 0
200
Find f(-1) if f(x)=6-x² of f(-1)=6-(-1)²
What is 5
200
Determine between which consecutive integers the real zeros of
f(x) = x4 - 4x2 + x - 3 are located.
What is between -3 and -2 and between 2 and 3
200
Determine the angular velocity if 4.5 revolutions are completed in 7 seconds. Round to the nearest tenth.
What is 4.0 radians/s
300
The tires on a race car have a diameter of 28 inches. If the tires are turning at the rate of 1500 revolutions per minute, determine the race car's speed in miles per hour to the nearest tenth.
What is 124.9 mph
300
Find a numerical value of one trigonometric function of x if
sin x (tan x + cot x) = 2.
What is cos x = 1/2
300
Solve by elimination 5x+2y=340/3x-4y=360
What is x=80 and y=-30
300
Approximate the real zeros of the function f(x) = 2x2 + 4x + 1 to the nearest tenth.
What is -1.7 and -0.3
300
Simplify cos x tan x.
What is sin x
400
State the vertical shift and the equation of the midline for
the function y = 3 cos + 4.
What is 4; y = 4
400
Use the sum or difference identity for tangent to find the exact value of tan 165°.
What is square root 3 - 2
400
Solve this problem using matrix equations.How many liters of 0.25 solution and 0.40 solution should be combined to make 10 liters of 0.35 solution?
What is 3.33 L of the 0.25 solution and 6.66 L of the 0.40 solution
400
Use the unit circle to find sec (-180°).
What is -1
400
Complete the identity tan ( π- A) = ________.
What is -tan A
500
State the amplitude and period for the function y = -3 sin 3.
What is 3; 2 pie /3
500
Find the distance from the origin to the graph of 2x + y = 15.
What is 3 square root 5
500
If y varies directly as the cube of x and y = 30 when x = 2, find x when
y = 468.75.
What is 5
500
The terminal side of one angle in standard position contains the point with coordinates (3, -2). The terminal side of another angle in standard position contains the point with coordinates (-3, 2). Compare the tangents of these angles.