1. A large gear rotates at a rate of 3 rotations per minute. Through how many degrees does it rotate in 5 minutes? In 40 seconds?

Q: The ________ speed of a particle is the ratio of the change in the central angle to the elapsed…

A: The ........ speed of a particle is the ratio of the change in the central angle to the elapsed…

Q: Two wheels are rotating in such a way that the rotation of the smaller wheel causes the larger wheel…

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Q: A wheel with a diameter of 31 meters is moving forward at 112.1 meters per second. How fast is the…

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Q: A tire is rotating 720 times per min through how many degrees does a point on the edge of the tire…

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Q: A pendulum swinging through a central angle of 67° completes an arc of length 7.2 cm. What is the…

A: Let the length of the pendulum is = r cm 67 degree= 67pi/180 radian

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

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Q: P In 17.5hc a point on the edge of a wheel whose diameter' is 1.7ud travels 8467.8in.ow many…

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Q: Suppose you have a friend who is 6 feet tall. At what distance must your friend standso that he or…

A: Suppose you have a friend who is 6 feet tall.

Q: 3 4

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Q: 20. A Ferris wheel called "Great Circle" has a diameter of 190 feet. How long will it go through…

A: The Diameter of the Ferris wheel = 190 feet     The Radius of the Ferris wheel = 95 feet…

Q: A tire is rotating at 600times per minute. Through how many degrees does a point on the edge of the…

A: It is given that a tire is rotating 600 times per minute. Evaluate the number of times it rotates…

Q: Find the linear speed v for the tip of the minute hand of a clock, if the hand is 7 cm long

A: Find the linear speed v for the tip of the minute hand of a clock, if the hand is 7 cm long

Q: A ferris wheel with a diameter of 225 feet takes 45 seconds to make a complete rotation. What is the…

A: A ferris wheel with a diameter of 225 feet takes 45 seconds to make a complete rotation.  To be…

Q: A 29-ft ladder leans against a building so that the angle between the ground and the ladder is 75°…

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

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Q: 7) What is the length of arc QR?

A: Here in the given figure, their will be a mid point between Q and S such that angle divided in 2…

Q: Electrical wire is being wound around a drum with radius of 1.5 meters. How much line would be wound…

A: Given radius (r) = 1.5 meters Angle (theta) = 302.2 degrees We have to find the arc length (s)

Q: 3. A 6 foot ladder is to be placed against a wall at an angle of elevation of 65°. How far should…

A: length of ladder = 6 foot angle of elevation = 65 Form a triangle :

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

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Q: A 36-ft ladder leans against a building so that the angle between the ground and the ladder is 82°.…

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Q: A straight 33-ft long ladder leans against a building so that the angle between the ground and the…

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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…

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Q: It takes the earth 24 hours to make one complete revolution on its axis. Through how many degrees…

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Q: A bicycle wheel rotates 98 times in 1 minute. Through how many DEGREES does a point on the tip of…

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Q: Clause 3. Firefighters spray fire at an angle of 8 = 30° with an exit speed of 40 m/s and an…

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Q: A 33 foot ladder leans against a building so that the angle between the ground and the ladder is 75°…

A: Draw a schematic diagram of the given question. Given data, Length of ladder, AC = 33 ft Angle…

Q: A 33-ft ladder leans against a building so that the angle between the ground and the ladder is 79°.…

A: Basic trigonometry

Q: A ladder 13 ft long leans against a vertical wall. If the top slides down at 3 ft/s, how fast is the…

A: We can find the rate of decrease of angle of elevation as below.

Q: Sylvia conducts an experiment using two long pieces of a cord and a spherical ball that has been cut…

A: If we have a hemisphere with radius r, then surface area of hemisphere is equal to, Also if we have…

Q: 5. The length of the shadow of a building 27.89 meters tall is 34.62 me- ters. Find the angle (in…

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Q: A 34-ft ladder leans against a building so that the angle between the ground and the ladder is 85°.…

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Q: 2.) The base of an isosceles triangle is 8ft. long. If the altitude is 6ft long and is increasing 3…

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Q: A wheel is rotating 240 times per minute. Through how many degrees does a point on the edge of the…

A: We have given, a wheel is rotating 240 times per minute. i.e. in 60 seconds it is rotating 240…

Q: 18. A ladder leaning against a building makes a 60° angle with the ground. How long is the ladder to…

A: Given: Angle made by ladder to the wall=60°Height of the wall upto which ladder touches=15 feet   To…

Q: The end of a 40-in pendulum describes an arc of 5 in. Through what angle does the pendulum swing?

A: Given, 40 in pendulum acr described =5 in

Q: A large truck traveling on a level surface has a wheel with a diameter of 2 feet. If the wheel makes…

A: Given diameter = 2 feet Rotation = 270° Distance travelled = circumference around 270°

Q: A pendulum of length 12.1 inches swings 5°37' to each side of its vertical position. What is the…

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Q: A 26-ft ladder leans against a building so that the angle between the ground and the ladder is 78°.…

A: Topic-hight & distance

Q: 1. As shown below, find the radius of the pulley if a rotation of 51.6° raises the weight by 11.4…

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away 4. Trom…

A: We have to find how fast is the angle between the top of the ladder and the wall changing when the…

Q: A wheel has a diameter of 1.5 feet: how many complete revolutions does it make in 9 miles (1mile =…

A: Given information:The diameter of mile is 1.5 feet.Formula Used: Evaluate the length of…

Q: The radius of a wheel rolling on the ground is 79 centimeters. If the wheel rotates through an angle…

A: In this question we have to find the how many centimeters will wheel moves.

Q: How does the law of cosines generalize the Pythagorean theorem?

A: We have to show that the law of cosines generalize the Pythagorean theorem.

Q: what is origin?

A: To explain what is origin.

Q: A wheel is rotating 720 times per minute. Through how many degrees does a point on the edge of the…

A: 1 minute= 60 seconds   So in 60 seconds the wheel rotates 720 times So, in 1 second it rotates…

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 the linear speed of the tip of the minute hand of a clock if its length is 12in

A:

Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 62°.…

A: Given: Length of the ladder is, l=31 ft. Angle between ladder and the ground is, θ=62°. The…

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…

Q: A 8-ft ladder leans against a building so that the angle between the ground and the ladder is 69 How…

A: Solve the following problem