An object is traveling around a circle with a radius of 10 feet. If in 50 seconds a central angle of 1/3 radian is swept​ out, what are the linear and angular speeds of the​ object? the answers should be in fraction form.

Q: The top of a 15-foot ladder rests against a vertical wall with the bottom of the ladder on level…

A: The top of a 15-foot ladder rests against a vertical wall with the bottom of the ladder on level…

Q: An object is traveling around a circle with a radius of 9 inches. If in 10  seconds a central angle…

A: Given:      radius of circle r = 9 inches      time taken t = 10 sec      angular swept out θ = 1/2…

Q: The two pulleys in the figure have radii of 15 cm and 8 cm, respectively. The larger pulley rotates…

A: Given:  R=15 cm , r=8 cm

Q: Find the area of the sector of a circle with radius 4 kilometers formed by a central angle of 3π/2…

A: Given query is to find the area of the sector.

Q: Give the answer to the trig function and the quadrant where the angle terminates. 47t sin 3 %3D

A:

Q: What is the relationship between the radian measure of an angle and the length of the arc…

A: a unit circle is a circle of unit radius—that is, a radius of 1. radius = 1 angle measure(in…

Q: If a wheel of radius 6 yards is spinning at 0.3 radians per second then what is its linear speed? 20…

A:

Q: A rocket is fired from the ground at some angle and travels in a straight path. When the rocket has…

A:

Q: If the sine of an angle is .75, what is the measure of the angle to the nearest degree?

A: sinƟ = 0.75Ɵ = sin-1(0.75) = 48.6° = 49°tan-1(0.05) = 2.86° = 3°

Q: The terminal side of an angle 0 in standard position intersects the unit circle at What is sin (6)?

A: A unit circle is a circle of radius 1.

Q: Evaluate the sine, cosine, and tangent of the angle without using a calculator. (If an answer is…

A:

Q: The measure in radians of the central angle of a circle of radius 41 that intercepts an arc of…

A: let  θ be the central angle  s be  the intercepted arc length and  r is the radius of circle  the…

Q: ne, and tangent of the angle without using a calculator. 177 sin(e) = cos(e) = tan(e) =

A: Topic:- trigonometry ratios

Q: A certain angle has a positive sine value and a negative tangent value. In what quadrant of the…

A: Given that a certain angle has positive sine value and negative tangent value.

Q: Solve the problem. 31) Find the measure (in radians) of a central angle of a sector of area 55…

A: The area of a sector 55 square inches in a circle .and radius of the circle is r=8 inchesSince θ…

Q: if the terminal side of an angle of t radians in standard position passes through (−8,−6) then…

A:

Q: What would the distance value be using the law of cos?

A: This question is related to triangles, we will use law of cosines to solve this problem.

Q: A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

A:

Q: radians

A:

Q: Give the answer to the trig function and the quadrant where the angle terminates. tan 300° = %3D

A:

Q: Indicate the two quadrants  could terminate in given the value of the trigonometricfunction. sin…

A: For 180°<θ<0° that is first/second quadrants then sin θ has a positive value. For…

Q: The sine of any acute angle must be greater than____-and less than____?

A: Let the acute angle is θ We have the interval of acute angle 0<θ<π2

Q: Find the length of the arc of a circle of radius 12 inches subtended by a central angle of 3pi/4…

A:

Q: The diameter of each wheel of a bike is 27 inches. If you are traveling at a speed of 22 miles per…

A: Given that:                        Diameter of the wheel, D = 27 inLinear speed of the vehicle, v =…

Q: Serena is skiing around a circular trail that has a four kilometer radius. If she travels through an…

A: Distance travelled around path will be given by S=θ2π×2πRS=θR

Q: What is meant by an angle of one radian?

A: To define  angle of one radian

Q: In AHIJ, the measure of ZJ=90°, IH = 65, HJ = 56, and JI = 33. What is the value of the sine of ZI…

A:

Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 300…

A: Diameter = 300 mm  So radius=r= diameter/2= 300/2= 150 mm Given that arc length = s = 296 mm  In…

Q: The length of the arc intercepted by a central angle of 5 radians in a circle of radius 75 is   The…

A:

Q: Find an angle 0 with 0° < 0 < 360° that has the same: Sine as 50°: 0 - degrees Cosine as 50°: 0 =…

A:

Q: Use the half-angle formula to find the exact value. sin 15° %3D

A: We have to find sin 15

Q: A wheel is rotating at 4 radians per second, and the wheel has a 57-inch diameter. To the nearest…

A: A wheel is rotating at 4 radians per second and the diameter of the wheel is 57 -  inches.Here, 1…

Q: The diameter of each wheel of a bike is 27 inches. If you are traveling at a speed of 27 miles per…

A:

Q: An aricraft is flying at 300 ft/s with an elevation of 200 ft from the ground, on a straight-line…

A:

Q: A central angle in a propeller of a helicopter measures 11 radians. If the distance starting from…

A: Formul for this is theta=l/r Where. Theta= 11 radians r= 220cm l=?

Q: Calculate Sin(15°) in two ways: a)Using half-angle formulae. b)Using angle difference formulae.

A:

Q: 37 What is the angular speed in radians/second associated with a rotating an angle 4 radians in 2…

A: We are asked to find the angular speed.

Q: A car with 16-inch-radius wheels is moving with a speed of 50 miles per hour. Find the angular speed…

A: Given: A car with 16-inch-radius wheels is moving with a speed of 50 miles per hour.

Q: If the terminal arm of an angle θ, in standard position, lies on the left side of the y-axis than…

A: cos θ=

Q: Find an angle between 0 and 2pi in radians that is coterminal to -185°

A:

Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 300…

A: Given that the diameter= d= 300 millimeters So the radius=r= 3002=150 millimeters Given that the arc…

Q: Suppose a car runs over a nail while driving at a speed of 65 miles per hour, and the nail is lodged…

A:

Q: What angle between 0 and 2pi radians has its cosine equal to 1/2?

A:

Q: a ferris wheel has a radius of 25 ft. If it takes 30 seconds for the wheel to turn 5pi/6 radians,…

A:

Q: If you know the sine value for a given angle, how can you quickly find the cosecant value for that…

A: See attached file for a detailed explanation and I also give an example so you can easily…

Q: Find the smallest positive angle θ in the third quadrant for which tan(θ) = 1. θ =_______°

A:

Q: If the terminal arm of an angle, x, in standard position passes through the point (-a, -2a) where a…

A:

Q: A boat starts off 28 miles directly west from the city of Morristown. It travels due south at a…

A:

Q: What is the angular speed in radians per second of a large flywheel that rotates through an angle of…

A: In 2 seconds it rotates 200 degrees So in 1 second it will rotate (200/2)=100 degree So the angular…

Q: Use a calculator to find the value of the acute angle 0 in radians, rounded to three decimal places.…

A: