Find the work done by a person weighing 187 lb walking exactly half revolution(s) up a circular, spiral staircase of radius 4 ft if the person rises 14 ft after one revolution.

Q: The ends of a water trough 8 ft long are equilateral triangles whose sides are 2 ft long. If water…

A: Length = 8 feet         Side     = 2         dvdt = 5 ft3/min          h   = 8 inch  = 23…

Q: A street light is at the top of a 18 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Let x be the distance from the woman to the pole and y be the distance from the tip of the woman's…

Q: Can the distance traveled by a particle ever be less than its displacement? When are they equal?

A: No, the magnitude of the displacement is always less than or equal to the distance traveled.

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: Follow the procedure given below.

Q: From the main entrance of a park there are 2 pathways where visitors can walk along going to the…

A: Topic:-  triangle and circle

Q: Consider a 20-foot chain that weighs 3 pounds per foot hanging from a winch 20 feet above ground…

A: Given:

Q: A kite 100 feet above the ground moves horizontally at a speed of 10ft/s. At what rate is the angle…

A: Let the horizontal distance be x. From the given data of question: And the diagram is:

Q: A 10 foot ladder is leaning against a wall, with its base 3 feet from the wall. It begins to slide…

A: Given that A 10 foot ladder is leaning against a wall, with its base 3 feet from the wall. It begins…

Q: A kite 30 m above the ground moves horizontally at a speed of 10 m/min. At what rate is the angle…

A:

Q: A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks toward the pole with a…

A:

Q: A ladder 25 ft long is leaning against a wall. If the bottom of the ladder is pulled 10.…

A: We need to find change in angle.

Q: When a rocket is 2 kilometers high, it is moving vertically upward at a speed of 300 kilometers per…

A:

Q: Two transmission towers 40ft high is 200ft apart. If the lowest point        of the cable 10ft…

A: We will draw the diagram and then find equation of cable ,  Note : All freely suspended cable/wire…

Q: A ladder 10 ft long leans against a vertical wall. If the bottom of the ladder slides away from the…

A: Given that a ladder 10 ft. long leans against a vertical wall. Bottom of the ladder slides away from…

Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Equation relates the number of variables combined together by algebraic entities using equality…

Q: An 8 ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall…

A:

Q: A water heater that has the shape of a right cylindrical tank with a radius of 1 ft and a height of…

A: The right cylindrical tank has radius 1ft and height 4 ft. The water in it is draining at the rate…

Q: A hemispherical tank has a radius of 13ft. Given that the water weighs is 62.5lb/ft3, find the work…

A:

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

A: →cosθ = BaseHypotenuse→sinθ = 1-cos2θ→dcosθdθ = -sinθ

Q: A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A 160-lb man carries a 25-lb can of paint up a helical staircase that encircles a silo with a radius…

A: Force of gravity on man = 160 lb Force of gravity on can = 25 lb Height of silo = 90 ft

Q: A street light is at the top of a 14 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A 75 kg box is pushed off of a 120 m tall building with an initial horizontal speed of 15 m/s. How…

A: We have to first sketch the given situation.

Q: A street light is at the top of a 18 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: According to the given condition we haveIn this diagram, we have BC is the distance from the women…

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

A: Given: length of ladder, L=13 ft distance from base, x = 12 ft dxdt=5 ft/sec

Q: woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is…

A: SOLUTION-

Q: When a rocket is 3 kilometers high, it is moving vertically upward at a speed of 400 kilometers per…

A: Let the height of the rocket be h and the angle of elevation from the observer’s eye is x.

Q: An 8 ft. ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall…

A:

Q: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

A:

Q: The lateral area of a cone with a diameter of 10 centimeters is about 250.5 square centimeters. To…

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

Q: A winch of radius 4 ft is used to lift heavy loads. If the winch makes 4 revolutions every 15 s,…

A:

Q: A street light is at the top of a 20 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: First draw the figure according to question is given and use similar traingle to find the rate of…

Q: Consider a 20-foot chain that weighs 3 pounds per foot hanging from a winch 20 feet above ground…

A: Find the work done by the winch in winding up one-third of the chain

Q: When a rocket is 3 kilometers high, it is moving vertically upward at a speed of 400 kilometers per…

A:

Q: A ladder 15 ft. long leans against a vertical wall. If the top slides down at 2 ft/sec, how fast is…

A:

Q: A (square) baseball diamond has sides that are 90 feet long . A player running from second base to…

A: Let X(t) be the distance from player’s to home plate at time t (in seconds).Given that the length of…

Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A woman 5ft tall walks at a rate of 7ft/sec toward a street light that is 12ft above the ground. At…

A: Given A woman 5ft tall walks at a rate of 7ft/sec toward a street light that is 12ft above the…

Q: A pole 25 feet long is carried horizontally along a corridor 15 feet wide and into a secon corridor…

A:

Q: A trough, 10 ft long, has semi-elliptical ends which are 3 feet deep and 4 feet wide. If the trough…

A:

Q: A ladder 10 ft long leans against a vertical wall. If the bottomof the ladder slides away from the…

A: Given - A ladder 10 ft. long leans against a vertical wall. If the bottom of the ladder slides away…

Q: A Christmas ball of 3cm radius is to be partially covered with gold leaf so that the covered fringe…

A: We have to find the area of sphere to be painted

Q: A cylindrical tank with length 5 ft and radius 3 ft is sit- uated with its axis horizontal. If a…

A:

Q: Suppose that a copper sphere of radius 3 cm is beaten and drawn into a wire of diameter 0.2 cm. What…

A: This question is based on mensuration problem.

Q: A gas line-driven lawnmower has a blade that extends out 1 foot from its center. The tip of the…

A:

Q: An excavation of 60 meters long and 10 meters wide at the bottom is made with 25 meters and 20…

A:

Q: A railroad rail is I kilometer long and it expands on a hot day 10 centimeters in length.…

A: To find the height of the centre of the rail rise above the ground.

Q: The cables of a horizontal suspension bridge are supported from two towers 40 ft high and 150 ft…

A:

Q: A ladder 9 ft long rests agains a vertical wall. If the bottom of the ladder slides away from the…

A: Let the distance between base B of the wall and bottom of the ladder C, BC= x feet  And the angle…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.