24. A person is standing at the end of a pier 12 feet above the water and is pulling in a rope attached to a rowboat at the waterline at the rate of 6 feet or rope per minute. How fast is the boat moving in the water when it is 16 feet from the pier? 12.6

Q: 4. A car brakes with constant deceleration of 18 ft / s² producing skid marks that measure 306 feet…

A:

Q: 4. The distance travelled by a man driving at the rate of 60 kph

A:

Q: (8) A baseball diamond has the shape of a square with sides of 75 feet long. A player running from…

A:

Q: (2) Researchers have determined that Titan (one of the Moon's of Saturn) has liquid water. If we…

A: The average distance between Earth and Titan is 890.74 Million miles which is about 1433.5 Million…

Q: A rabbit is traveling at a pace of 250 meters per hour. How fast is the rabbit  traveling in…

A: Given:    Distance = 250 meter per hour

Q: 3. How much does 1 kg of butter cost at the rate shown in the picture at the left?

A: We will solve the following using unitary method.

Q: 21. A ladder 5 m long is leaning against a vertical wall. If a person pulls the bottom of the ladder…

A: Topic:- application of derivatives

Q: A water trough is 7 feet long, and its cross section is an equilateral triangle with sides 2 feet…

A:

Q: A water trough is 8 feet long, and its cross section is an equilateral triangle with sides 2 feet…

A: Given thatLength of water trough is 8 feet and cross section is equilateral triangle with side 2…

Q: 4. Shirogane, who is 175 cm tall, is walking at a rate of 3 meters per second towards a lamppost…

A:

Q: 4. What constant acceleration is required to increase the speed of a car from 30 mi/h to 50 mi/h in…

A:

Q: 2. A large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is…

A:

Q: 10. A stone is dropped from the top of a building 1024 ft. high. When does it hit the ground and…

A: Solution : We have given that a stone is dropped from the top of a building 1024 ft. high. And we…

Q: A water trough Is 15 feet long, and its cross section Is an equilateral triangle with sides 4 feet…

A: Answer is mentioned below

Q: 3. A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a…

A: As per our guideline we are supposed to be answer only one question you can repost other question in…

Q: A water trough is 10 feet long, and its cross section is an equilateral triangle with sides 4 feet…

A:

Q: A vulcanizing shop has a trapezoidal drum that is 5 meters long, 1.5 meter wide at the top, 1 meter…

A: Given: A drum of length : 5m The drum has a cross section of isosceles trapezoid with length of…

Q: 16 mi/h and the other travels west at 12 mi/h. At wha

A:

Q: A lamp post 3 m high is 6 m from a wall. A man 2 m tall is walking directly from the post toward the…

A:

Q: 3 Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west…

A: Given the data:

Q: 36. One end of a 13-foot ladder is on the ground. and the other end rest against the side of the…

A:

Q: A cubic block of ice whose side is 2 inches long is melting at a rate of 1 in^3 per minute. How fast…

A:

Q: A train, starting at noon, travels north at 40 ml per hr. Another train, starting from the same…

A:

Q: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the…

A: Given that: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet…

Q: 9. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 mi/hr. How fast does the…

A:

Q: 2. A pulley 4 meters from the ground is used to lift a 100 kg block. If the rate at which the block…

A: Given: The distance between pulley and the ground s1 = 4 meter The velocity of the block getting…

Q: 13. A 10-meter ladder is leaning against a vertical wall with its foot on the same horizontal plane…

A:

Q: 3. A man rows downstream at the rate of 5 mph and upstream at the rate of 2 mph. How far downstream…

A: Let the man goes x miles downstream. Assume, the man takes t1 hour to go downstream and t2 hour to…

Q: 2. A 15-meter-long ladder is leaning against a wall The bottom of the ladder is pushed horizontally…

A:

Q: 10. At noon, ship A is 100 km west of ship B. Ship A is sailing south at 35 km/hr and ship B is…

A:

Q: A man walks across a bridge at a rate of 4 fps as a boat passes directly beneath him at 8 fps. If…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: A water trough is 8 feet long, and its cross section is an equilateral triangle with sides 4 feet…

A: SOLUTION: Given, a water trough is 8 feet long and its cross-section is an equilateral triangle with…

Q: 9) A hot air balloon rose from a height of 100 m to 400 m in 3 minutes. What was the balloon's rate…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 8. A boy on a bike rides north 5 miles, then turns east. If he rides 10 mi/hr., at what rate was his…

A: Given: The following diagram represents the given data:

Q: A water trough is 13 feet long, and its cross section is an equilateral triangle with sides 4 feet…

A: Given:  A water trough is 13 feet long, and its cross section is an equilateral triangle with sides…

Q: 5. A baseball diamond has the shape of a square with sides 90 ft long. A player 60 ft from second…

A:

Q: 4. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast…

A:

Q: 2. It takes a car salesman 2.5 hours to drive from one city to another if he drives at a constant…

A: We know that , distance = velocity×Time

Q: A water trough is 11 feet long, and its cross section is an equilateral triangle with sides 3 feet…

A: (a) Height of side of equilateral triangle with side s is,

Q: A baseball diamond is a square whose sides are 90 ft long. If the batter runs at the first base at…

A:

Q: 1. Two airplanes left airports which are 960 km apart and flew towards each other. One plane flew 32…

A: This is a question of distance and velocity. Based on the general formula of distance and velocity…

Q: 1 of the An object travels along a horizontal straight path at a constant rate. The object travels…

A: Given,         An object travels along a horizontal straight path at a constant rate. The object…

Q: 6. What is the rate at which the two hands of the clock are separating when the time is two o'clock…

A:

Q: 29. A kite 100 feet above the ground is being blown away from the person holding its string. It…

A: Solution Let initially  kite was at position A while person holding Kite was at position O such that…

Q: 37. A baseball player runs from home plate toward first base at 20 ft/s. How fast is the player's…

A:

Q: 3 A cube of ice is getting larger, increasing its volume by 30cm per minute. How fast are the side…

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Q: 12. A baseball player is running from the second based to the third base at 20 ft./s. At what rate…

A:

Q: 6. Shan, who is 2 meters tall, is approaching a post that holds a lamp 6 meters above the ground. If…

A:

Q: 2. A bacteria culture is known to grow at a rate proportional to the amount present. After one hour,…

A: We will use exponential growth Function Here.

Q: 5. The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the…

A: