9. A car is traveling at 37 mph. If its tires have a diameter of 24 inches, find the angular speed of the car's tires. Express the answer in revolutions per minute.

Q: The cross section of a rivet has a top that is an arc of a circle. If the ends of the arc are 11 mm…

A:

Q: The law of cosines generalizes the Pythagorean theorem. True or false?

A: Law of cosine is

Q: What are the radius units?

A:

Q: Make up an applied problem that requires using the Law of Cosines.

A: Here, our aim is to make up an applied problem that requires using theLaw of Cosines.Let us consider…

Q: 2. A rocket is launching vertically upward from a point 2 miles east of an observer on the ground.…

A: Let's find speed of rocket.

Q: Find the coordinates of a point on a circle with radius 5 corresponding to an angle of 300∘300∘…

A:

Q: The angular velocity of a wheel is 10 revolutions per second. What is the linear velocity in cm per…

A: Given: Angular velocity=10 revolutions per second……1Diameter =60 cm……2

Q: The radius of the wheel on a bike is 18 inches. If the wheel is revolving at 118 revolutions per…

A: Given radius of wheel on bike=18 inches.Also wheel is revolving at 118 revolutions per minute.To…

Q: At what rate is the angle between a clock’s minute and hour hands changing at 4 o’clock in the…

A:

Q: Suppose that you are headed toward a plateau 32.5 meters high. If the angle of elevation to the top…

A: Solve the following

Q: A road rises uniformly along a horizontal distance of 450 meters. The rise at the end of the 450…

A: A road rises uniformly along a horizontal distance of 450meters.The rise at the end of the 450…

Q: A car travels at 60mph and has 24 inch in diameter tires. What is the angular speed of a point on…

A:

Q: The distance around the wheel of a truck is 9.42ft. What is the radius of the wheel

A: We will solve the following.

Q: Elijah just turned 4 and received a new tricycle for his birthday. The diameter of the front wheel…

A: Given The diameter of the front wheel is 24 inch and back wheel is 8 inch On pedaling the diameter…

Q: A loading ramp is 21 meters long with a height of 6 meters. What is the angle of incline that the…

A: Explanation of the answer is as follows

Q: A rider in a road bike race had an average linear speed of 40.756km/hr. The wheel of his bicyle had…

A: Given:

Q: On a weed-cutting device, thick nylon line rotates on a spindle at 3000 rpm. a. Determine the…

A:

Q: A race car is driven around a circular track at a constant speed of 180 miles per hour. If the…

A:

Q: 2. A bullet is fired at an angle of elevation of 36°. What is the muzzle speed if the maximum height…

A:

Q: What is the linear speed per hour of Shreveport due to the rotation of the earth. The latitude of…

A: Given that: The latitude of Shreveport is 32.53oN Radius of earth, R=3959 miles

Q: A shell, fired from ground level at an elevation angle of 45 ◦ , hits the ground 24,500 m away.…

A: Given: The shell was fired from the ground at an elevation of θ=45°. Horizontal distance from the…

Q: If a wheel of radius 8 inches is rotating 12°/s then its angular speed, w, and linear speed, v , are

A:

Q: What is the wave speed of a wave that has a frequency of 50 Hz and a wavelength of 2.0 m?

A:

Q: 1. A car travelling 60 mph has a wheel with diameter of 20 inches. What is the angular speed of the…

A:

Q: Suppose that you are headed toward a plateau 22.8 meters high. If the angle of elevation to the top…

A:

Q: How much work is done by gravity in causing a 45-kg rock to tumble 54 m down a slope at an angle of…

A:

Q: The radius of the wheel on a car is 21 inches. If the wheel is revolving at 202 revolutions per…

A: Given data, Radius of car wheel, r = 21 inches Total number of revolution make by car in one…

Q: The minute hand on a clock is 9 centimeters long. In 10 minutes, how far does the tip of the hand…

A:

Q: A race car is driven around a circular track at a constant speed of 180 mph.  If the diameter of the…

A:

Q: 19. The arm of a Ferris Wheel starting from the center to its passengers' seat has a length of 80…

A: Given that arm is 80 ft from the center So the radius of the Ferris wheel is 80 ft we need to find…

Q: The radius of the wheel on a truck is 18 inches. If the wheel is revolving at 274 revolutions per…

A: The radius is 18 inches. The circumference of the wheel is the distance covered in one revolution, 1…

Q: A racecar is driven around a circular track at a constant speed of 180 miles per hour. If the…

A: To find the angular speed, first, evaluate the radius of the circular path. Since the diameter (d)…

Q: What is the angular magnification provided by a lens of focal length 10 cm for the relaxed eye?

A: I have provided this answer in step-2.

Q: On what the distance an object travels depend?

A: We know that the distance travelled by an object is given by  Distance=Speed × Time    Where…

Q: A 21m tall house has an angular size of 2.2 degrees when viewed from a distance. How far away is the…

A: Recall the following. Angular size=sizedistance

Q: A car travels at 70mph and has 28 inch in diameter tires. What is the angular speed of a point on…

A:

Q: A pulley of radius 25 cm rotates 17 times in 32 sec. Find the angular speed and linear velocity of…

A: Given, Radius (r) = 25 cm Number of revolution = 17 times per 32 second

Q: The radius of the wheel on a bike is 27 inches. If the wheel is revolving at 144 revolutions per…

A: Given that the radius of wheel is 27 inches.

Q: An object is traveling around a circle with a radius of 6 centimeters.  If in 20 seconds a central…

A:

Q: A plane flying with a constant speed of 19 km/min passes over a ground radar station at an altitude…

A: Given that a plane flying with a constant speed of 19 km/min passes over a ground radar station at…

Q: What is the length of the shadow cast on the vertical screen by your 10.0 cmcm hand if it is held at…

A: Given :  hypotenuse side = 10 cm  Angle = 30°

Q: A wheelchair ramp is 4.2 m long. It rises 0.7 m. What is its angle of inclination to the nearest…

A: Given, The length of a wheelchair ramp = 4.2m  It rises 0.7 m  We have to find its angle of…

Q: 154

A:

Q: The radius of the wheel on a bike is 19 inches. If the wheel is revolving at 140 revolutions per…

A: Given radius of wheel r=19 inches∴Distance travelled in 1 revolution=circumference of wheel…

Q: The radius of the wheel on a truck is 18 inches. If the wheel is revolving at 274 revolutions per…

A: Given: The radius of the wheel on a truck is 18 inches. If the wheel is revolving at 274 revolutions…

Q: Suppose that you are headed toward a plateau 27.8 meters high. If the angle of elevation to the top…

A: given that height of plateau 27.8 m and angle of elevation to the top of plateau is 26.5 degree.…

Q: A baseball, hit 6 feet above the ground, leaves the bat at an angle of 57° and is caught by an…

A: Given: Baseball leaves the bat at an angle of 57°. horizontal distance covered by ball is 208 feet.…

Q: A pedestrian overpass is being built with a 12.5°angle. If the overpass is 17.5 ft. high find the…

A: Using Sinx we get the length of ramp.

Q: Find a linear speed of a tip of minute hand if a length of the minute hand is 7 cm long. Hint: @ =

A:

Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…

A: To find: Rate of change of angle between a clock's minute and hour hand at 7 AM. In other words, the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.