A boat is 6 m below the level of a pier and 12 m from the pier as measured 12 m across the water. How much rope is needed to reach the boat?

Q: A steel cable providing tension on a power pole is anchored 16ft from the pole and reaches 12 feet…

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Q: A jar is filled with marbles that are 1 cm in diameter. If the jar is a rectangular prism that…

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Q: A rectangular waterbed is 6 ft long, 3 ft wide, and 1 ft tall. How many gallons of water are needed…

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Q: A dining room is 18 ft long and 14 ft wide. On a blueprint for the house, the dining room is 3.5 in.…

A: Given, original length of dining room=18ft   and original width of dining room=14ft   we…

Q: This water tower holds 85,000 cubic feet of water. If we know that the tower has a diameter of 30…

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Q: A large aquarium is cylindrical and is 25 feet deep. It can hold 26,667 cu.ft of water. How wide is…

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Q: An eight ft board is cut into two pieces. One piece is 2 ft longer than theother. How long are the…

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Q: A pipeline, is approximately 700 mi long. Assuming that it has a uniform 60 in. inside diameter,…

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Q: A map is scaled in such a way that 4 cm represents 7 km of the actual distance. If two towns are 11…

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Q: A box with a square base has length plus girth of 108 in. (Girth is the distance "around" the box.)…

A: Consider the diagram, Observe that the box with a square base has length plus girth of 108 in. Here…

Q: An eight ft board is cut into two pieces. One piece is 2 ft longer thant heother. How long are the…

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Q: The base of a tissue box has an area of 72in. If the volume of the tissue box is 504in, what is the…

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Q: A piece of tubing 6 3/16 in. long is to be cut from a piece 24 1/2 in. long. Allowing 1/16 inch for…

A: Since, the length of tubing piece to be cut is 6 3/16 inches. And the total length of tubing is 24…

Q: An interior wall measures 30 ft 4 in long. It is to be divided by 10 evenly spaced posts. Each post…

A: Given that the length of the wall is = 30 ft 4 in= (30×12)+4=360+4=364 in   Given that the length of…

Q: A candle is 10 In. tall after burning for 2 hours. After 3 hours, It is 8.5 In. tall. How tall will…

A: It is given that a candle is 10 inches tall after burning for two hours and 8.5 inches after burning…

Q: of a swimming pool where 1 cm represents 1 m. a. How long and how wide is the actual swimming pool?

A: consider the equation (1) 10 m long and 20 m wide (2) smaller (3) 5cm wide and 10 cm long

Q: Martha wants to buy a rug for a room that is 27 ft wide and 33 ft long and wants to leave a strip…

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Q: A tank that is 59 feet deep, with a square bottom with sides 6 feet each, has 20 feet of oil that…

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Q: he sides of a cylindrical silo 13 ft in diameter and 29 ft high are to be painted. Each gallon of…

A: using formula of total surface area cylinder

Q: How long must the brace be on a closet rod holder if the vertical side is 17 cm and the horizontal…

A: Given Data: The horizontal length is: H=38 cm The vertical length is: V=17 cm   From the figure, the…

Q: A slow pitch softball diamond is actually a square 62 ft on a side. How far is it from home to…

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Q: A rectangular lawn measures 80ft by 100 ft. Part of the lawn is torn up to install a sidewalk of…

A: A rectangular lawn measures 80ft by 100 ft. Part of the lawn is torn up to install a sidewalk of…

Q: A 100 ft wire is attached at it's end to the tops of two 50 ft poles that are positioned 90ft…

A: Concept: Catenary curve: A flexible hanging chain or cable is shaped like a curve in mathematics…

Q: A chain, 90 ft long, weighs 4 lbs/ft and hangs over the edge of a building 100 ft high. a. How much…

A: Chain is 90 feet long and hanged up from height of 100 feet. So it's already 10 feet above the…

Q: A 200-lb cable is 100 ft long and hangs vertically from the top of atall building. How much work is…

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Q: You are moving into a new apartment and notice there is a corner where the hallway narrows from 8 ft…

A: Given: Hall way of larger width is 8 ft = a (say). Hall way of smaller width is 8 ft = b (say).…

Q: A 100 ft length of steel chain weighing 15 lb/ft is dangling from a pulley. How much work is…

A: Integration means addition it is used for adding continuous function which can't be added by simple…

Q: A basement for a 25 ft by 42 ft house is to be dug at a depth of 8 feet. How many cubic yards of…

A: Given: Size of basement is 25 ft×42 ft and depth of house=8 ft.

Q: A cyclist rides at a rate of 20 mph for 45 min. How far does the cyclist travel in that time?____mi

A: Given: Speed of the cyclist, v = 20 mphtime taken, t = 45 minConverting time into hours, t = 45/60…

Q: A glass fish tank in the shape of rectangular prism has a base that meausres 22 inches by 12 inches.…

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Q: A foot wide painting should be centered on a 12-ft wide wall how many feet should be on each side of…

A: The width of painting is given as 1 foot and the width of wall is given as 12 ft.

Q: A water trough is 9 m long and has a cros height 50 cm. If the trough is being filled m/min

A: Given a water trough which is 9 m long and has a cross section in shape of an isosceles trapezoid

Q: Artificial turf is being used to cover a playing field. If the field is rectangular with a length of…

A: Given, the rectangular field is having length as 140 yd and width of 70 yd. Thus, the artificial…

Q: Each side of the base of a right octagonal prism is 7 in. long. The altitude of the prism measures…

A: Express the relation for the lateral area of an object. Lateral Area=Base Perimeter ×Height…

Q: The primary bedroom is 5 m by 4 m with a height of 2.5 m. Given that paint costs $1.39 per square…

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Q: A concrete pad 4 in. thick is to have a length of 36 ft and a width of 30 ft. How many cubic yards…

A: Given: height(h)=4 inch=412ft=13ft.Length(l)=36 ft.Width(w)=30 ft.

Q: A pole 27 ft. long is carried horizontally along the corridor 8 ft. wide and into a second corridor…

A: Consider the below figure. Let W be the width of the corridor. From the above figure note that,…

Q: How many cubic feet of soil must be excavated to make a railroad embankment 200 ft long if a cross…

A: Solve by using mensuration formulas

Q: A concrete sidewalk is to be be built around the outside of the corner lot that measures 140ft by…

A: Hence area of sidewalk =1575 ft2

Q: A 25-foot ladder is placed 7 feet from the wall, as shown. 25 ft. 7 ft.

A: Figure is given by

Q: How long must the brace be on a closet rod holder if the vertical side is 15 cm and the horizontal…

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Q: For a given box, the height measures 6 m. If the length of the rectangular base is 2 m greater than…

A: Given: length of the box=l=2+width=2+wwidth=w=?   and height=h=6Also…

Q: A worker on a scaffolding 75 ft above the ground needs to lift a 550 lb bucket of cement from the…

A: Use work is equal to force into displacement

Q: A mole of marbles would cover the continental U.S. to a depth of how much?

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Q: 4 m 68

A: The figure is given by To evaluate : The distance between the wall and the bottom of the ladder

Q: The diameter of a tree was 10 in. During the following year, the circumference increased 2 in. About…

A: Calculate the radius of circle as shown below.Substitute 10 in. for d.

Q: The length and width of a room measure 8 yards by 3 yards, and the walls of the room are 8 feet…

A: Given, 1 yard = 3 feet length = 8 yards =24 feet width = 3 yards = 9 feet height = 8 feet The total…

Q: A guy.rope on a tent is 1.5 m long. One end is fixed to the top of a vertical pole and the other is…

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Q: An open rectangular box, 1 m long, 70 cm wide and 50 cm deep, is painted on the inside and outside.…

A: Area

Q: A swimming pool has the shape of a box with a base that measures 28 m by 13 m and a depth of 3.5 m.…

A: Given Data- Length of swimming pool = 28 m Breadth of swimming pool = 13 m Depth of swimming pool =…