A gondola on an amusment park ride spins at a speed of 13 revolutions per minute. If the gondola is 27 feet from the ride's center, what is the linear speed of the gondola in miles per hour?

Q: If a projectile is launched from the ground, sketch the shape of its trajectory.

A: Given data: Projectile motion.   Projectile motion is a two-dimensional free-fall motion in which an…

Q: A cable from the top of a 100 foot telephone tower makes a 50° angle with the ground. How long is…

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Q: A rope is attached to the bottom of a hot-air balloon that is floating above a flat field. If the…

A: Given: The angle of elevation of the balloon is 65°, and the rate of pulling of rope is 5 ft /s.…

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: When being burned in a writable CD-R drive, the angular speed of a CD varies to keep the linear…

A: We known that ,for a point in uniform circular motion, the relationship between angular speed and…

Q: The height of a radio tower is 450 ​feet and the ground on one side of the tower slopes upward at an…

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Q: bFhctc.instructure.com%2Fcalendar%23view_name%3Dmont... Find a cartesian equation for the curve 0 --

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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: If a point travels along a circle with constant velocity, then the motion of the point iscalled…

A: A point travels along a circle with constant velocity.

Q: The hanger is unbalanced. Which side will it tip over?

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Q: A woman standing on a cliff is watching a motor boat as the boat approaches the shoreline directly…

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Q: An architect is designing a slanted ramp that connects to a loading dock. The vertical distance…

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Q: Find the height of the bridge over the river exactly 25 feet from the center of the river.

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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: 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 quantity that has both magnitude and direction is called a/an_________ .

A: A quantity that has both magnitude and direction is called  vectors.  Geometrically, we can…

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 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: sin theta=opposite/hypotenuse

Q: A circular power saw has a 7 4-inch diameter blade that rotates at 5000 revolutions per minute. Find…

A: πDiameter=714 inches⇒Diameter=294 inches⇒Radius=r=12·294 inches⇒Radius=r=298 inches⇒Radius=r=29812…

Q: What is the distance around the inside of the track?

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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: A 20 meter long cable is used to support a telephone pole, holding it perpendicular to the ground.…

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Q: A Ferris Wheel has diameter of 150 feet and one complete revolution takes 17 minutes. Find the…

A: Topic = Algebra

Q: The radius of the wheel on a car is 32 inches. If the wheel is revolving at 454 revolutions per…

A: Radius=32 inches Number of revolutions=454 per minute

Q: What is the linear speed of the tip on one of the blades in feet per second?

A: Given that the blender can spin up to 24,000 rpm. That is, ω≤24000 rpm≤24000×2π60 rad/sec≤800π…

Q: A Baguio City Road is inclined to 20° to the horizontal. If a man jogs 500 m along this road, how…

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Q: be a right triangle. Which

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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: 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 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: We will use formula of sin(x) to solve this.

Q: If a windmill with radius 30 feet makes 10 full revolutions every 1 minute, what is its linear…

A: Given that : Windmill takes 10 full revolutions in 1 minute To convert 1 revolution per minute into…

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: Is there any reason to believe that there is always a pair of antipodal (diametrically opposite)…

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Q: a surveyor is modeling how tall a new building for a project must be. If he is standing 200 feet…

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Q: The altimeter of a jet airplane approaching Eusebio International Airport records 6,300 feet as it…

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Q: A Ferris wheel has a radius of 40 feet, and is rotating at 2.5 revolutions per minute. Find the…

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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: imagine a road on which you lose 275 feet in elevation for every mile driven. there are 5280 feet…

A: As, lose in elevation for every mile. Rise should be negative as we losing. 1 mile(run) is negative…

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: Pitcher Aroldis Chapman threw a pitch with a recorded velocity of 105 miles per hour. Assuming he…

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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 quantity that has magnitude but no direction is called a/an_______ .

A: Given: The statement is " A quantity that has magnitude but no direction is called a/an ______." To…

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

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

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Q: A circular power saw has a 7 4 -inch diameter blade that rotates at 5000 revolutions per minute.…

A:

Q: an airplane door is 19 feet off the ground and the ramp has a 31 degree angle of elevation. what is…

A: given,

Q: Is this curve a twisted cubic, parabola, line, or helix?

A: The objective is to check whether the curve is a  twisted cubic, parabola, line, or helix.…

Q: A 30-foot tall building has a shadow that is 60 feet long. What is the angle of elevation of the sun…

A: Use tan theta=opposite/adjacent

Q: What is the altitude of the plane?

A:

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.