A hamster runs at a speed of 12 centimeters per second in a wheel of radius 15 centimeters. a) What is the angular velocity of the wheel? (in radians/sec) radians/sec b) How fast will the wheel spin in revolutions per minute? cm/min

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

A: Law of cosine is

Q: 2. A rock is launched with an initial velocity of 60 m/s at a certain angle abot horizontal reaching…

A: A rock is launched with an initial velocity of 60 m/s at a certain angle abot horizontal reaching a…

Q: A frictionless road turn is circular of radius 70 metros is designed to have a maximum speed of 54…

A: Let's find.

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Q: 8. Find the exact ANGULAR SPEED in radians per second of an object rotating at linear speed 15 ft/s…

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Q: Find the coordinates of a point on a circle with radius 10 corresponding to an angle of 205°. (х,у)…

A: To find the coordinates of a point on a circle with radius 10 corresponding to an angle of 205°.

Q: transition duct is constructed from a circular sector of radius 18 in. and a central angle of 115°.…

A: Given query is to find area and the arc length.

Q: 3. Light of wavelength 575 nm falls on a double-slit and the third order bright fringe is seen at an…

A: Please see the attachment According to the guidelines we are supposed to do one problem

Q: 1. A horizontal clothesline is tied between 2 poles, 14 meters apart.  When a mass of 2 kilograms…

A: NOTE We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: The wheels of a car have radius 11 in. and are rotating at 600 rpm. Find the speed of the car in…

A:

Q: 3. A ladder 14 ft long is leaning against a fence 8 ft high, with the upper end projecting over the…

A: Find the changing rate of anlge

Q: An anchor chain is wound around a drum with radius 1.5 ft. If the Drum is rotated through an angle…

A: It is known that a full rotation around a circle is equivalent to 2π or 3600. The perimeter of a…

Q: Find the coordinates of a point on a circle with radius 10 corresponding to an angle of 55° (x, y) =…

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Q: A wheel of radius 22 inches is rotating at 3 ft/sec. What is the angular speed in rad/min?

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

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Q: An airplane took off from an airport and traveled at a constant rate and angle of elevation. When…

A: What was the angle when the airplane rose from the ground?

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Q: A 10-foot ladder rests against a wall. If the top of the ladder starts sliding down along the wall…

A:

Q: . A ceiling fan with 16-in. blades rotates at 45 rpm (revolution per minute), find the angular speed…

A:

Q: A balloon is connected to a meteorological station by a cable 200 meters long inclined at a 60…

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Q: A ball is thrown from a height of 6ft at an angle of 60 degrees with the horizontal. If the ball…

A: Initial Speed in horizontal directionux= v cos 600initial speed in vertical directionuy = v sin…

Q: A fish is reeled in at a rate of 1 foot per second from a bridge 15 ft. above the water. At what…

A:

Q: A ladder leans against a vertical wall. If the top of the ladder slides down at 4 ft how is the sec…

A: Let x and y (in feet)be the distance of bottom of the ladder from the wall and distance of the top f…

Q: An observer stands 2400 ft away from a launch pad to observe a rocket launch. The rocket blasts off…

A: This question can be solved using the concept of rate of change of quantities.

Q: A plane travels from point A on a bearing 150° to a point B 10 km from A as illustrated above. How…

A: We are given the following information. We need to find AC.

Q: A ball is thrown from the top of one building toward a tall building 15m away. The initial velocity…

A: A ball is thrown from the top of one building toward a tall building 15m away. The initial velocity…

Q: The wheels of a car have radius 12 in. and are rotating at 750 rpm. Find the speed of the car in…

A: Given,

Q: A fish is reeled in at a rate of 4.4 feet per second from a point 10 feet above the water. At what…

A: Given problem is : A fish is reeled in at a rate of 4.4 feet per second from a point 10 feet above…

Q: The minute hand on a clock makes one complete revolution every hour, moving clockwise. (a) What is…

A: subpart a In 60 minute minute hand will cover 2πin 1 minute it will cover velocity of minute hand…

Q: You stand 15 feet from the base of a water tower and look un at an angle of 78° at the top of the…

A: Draw the whole situation and mention the angle, hight given than use tangent ratio in the right…

Q: A gun is fired with muzzle velocity 1011 feet per second at a target 3250 feet away. Find the…

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Q: While standing near the edge of a farmer's field, Johnny watches a crop duster dust the farmer's…

A:

Q: suppose the angry bird is shot from the slingshot with an initial velocity of 55 ft per sec, 11 feet…

A:

Q: A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: Given: dxdt=5 ft/secdθdt=?

Q: Find the coordinates of a point on a circle with radius 5 corresponding to an angle of 80 (х,у) 3D…

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Q: Find the exact angular velocity in radians per hour of a DVD that spins at the rate of 640…

A:

Q: A boat is sailing at a rate of 10 feet per second away from an observer 5 feet above the boat. How…

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Q: A particle moves to the left of the parabola. r=4/(1+cos theta) with constant speed of 4 ft/s. when…

A:

Q: A 10-foot ladder rests against a wall. If the top of the ladder starts sliding down along the wall…

A: Solution is given below..

Q: What is the relevance of the study of cosine, sine and tangent of sum and difference of two angles…

A: Given

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: A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the…

A: The amount of water that the gutter can carry is directly proportional to the area of the…

Q: 2. An airplane travels 210 km on a straight Course, making an angle of 22.5° E of N. If then changes…

A: Given,  An airplane travels 210 k on a straight course, making an angle of 22.5 degree east of…

Q: 1. A projectile is fired with an initial speed of 400 m/sec. Find two angles of elevation that can…

A: Given that: Initial speed, u=400 m/secDistance of target, H=3000 m.

Q: Two circles of radii 5 cm and 8 cm touch each other externally. Calculate the length of the common…

A: we have to find length of common tangent.

Q: The wheels of a car have radius 10 in. and are rotating at 550 rpm. Find the speed of the car in…

A: This is Basic maths problem

Q: Suppose you apply a force of 20N to a 0.25​-meter-long wrench attached to a bolt in a direction…

A: