What is the maximum size of the window frame you can create with 20 feet of materials? The window shape is attached and shown below.

Q: Suppose that 208 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Given:  208 ft of fencing is used to enclose a coral From given figure diameter of the semicircle is…

Q: A Norman window consists of a rectangle topped with a semicircle. Find the dimensions of the window…

A: Solved below

Q: The volume of an open box with a square base is 4000 cm3. Find the dimensions of the box if the…

A: Given that volume =4000cm3 find the dimensions of the box that minimize the amount of material used…

Q: A carpenter is building a rectangular room with a fixed perimeter of 228 ft. What dimensions would…

A: Let the length of rectangle be x and breadth be y Then 2(x+y)=228 x+y=114 y=114-x Area A=xy…

Q: Matthew is constructing a rectangular prism with volume exactly 720 cubic inches. It will have the…

A: Given Information- Volume of the rectangular prism = 720 in3. The rectangular prism has the least…

Q: A paper cup is to be made in the shape of a cone, having volume 3 ounces. What should the radius and…

A: Let Volume = V  Radius = r inch. Height = h inch.  Volume of cone V=13πr2hh=9πr2    ....(1)

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a…

A: A Norman window has the shape of a rectangle surmounted by a semicircle. This implies that the…

Q: An open box is to be made from a 21 ft by 56 ft rectangular piece of sheet metal by cutting out…

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Q: An open-top box with a square base is to have a volume of 32 cubic feet. Find the dimensions of the…

A: To determine the dimension of the box which minimize the amount of material used.

Q: You are to construct an open rectangular box from 12 ft2 of material. What dimensions will result in…

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Q: A rancher has 400 feet of fencing with which to enclose two adjacent rectangular corrals (see…

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Q: A square sheet of metal has squares cut from its corners as shown. A What sized square should be cut…

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Q: You have 268 feet of fencing to enclose a rectangular region. What is the maximum area of the…

A: maximum area of the rectangle

Q: Jim wants to build a rectangular parking lot along a busy street but only has 1,600 feet of fencing…

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Q: An оpen box is to be made from a 6 ft by 16 ft rectangular cardboard by cutting out equal squares…

A: We can find the maximum volume of the box as below

Q: Kelly has 2400 feet of irrigation piping He wants to use to irrigate his back lawn. He wants to lay…

A: The person wants to lay the pipeline of 2400 feet such that it cuts off three equal rectangular…

Q: An equilateral triangle is placed above a rectangle creating a window. There is 40 ft of materials…

A: Suppose that one side of rectangle “x” ft and other side is “y” ft.   Since “x” is also side of…

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a…

A: Given that the perimeter is fixed.Let us assume that the length of the rectangle part which is also…

Q: DAUST's students plan to design a closed box with a square base and a surface area of 90 cm2 for…

A: If the side of square base is 'a'cm and length is 'b'cm Than surface area will be a2b

Q: A rancher has 400 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A:

Q: An open box is to be made from a 33 ft by 88 ft rectangular piece of sheet metal by cutting out…

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Q: A cardboard box without a lid is to have a volume of 4000cm3. Find the minimum amount of cardboard…

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Q: If a gun is fired with and a =30o and V0 = 500m/s, whenwill the bullet hit the ground? How far from…

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Q: 2) Angelina is building a garden in the centre of her backyard as shown. She has 46 m of fencing…

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Q: A cow is tethered to one corner of a square barn, 20 feet by 20 feet, with a rope 100 feet long.…

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Q: We have a piece of cardboard that is 14 inches by 10 inches and we're going to cut out the corners…

A: We need to determine height of the box.

Q: A cardboard piece that is 12 inches by 10 inches. It is required to cut out the corners as shown…

A:

Q: A rancher has 200 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A: Total fencng = 200 feetTotal fencing = 4x+3y=200 feet  — (i)Area = 2x×yFrom eqn - i - y =200-4x3Area…

Q: We have a piece of cardboard that is 14 inches by 10 inches and we're going to cut ou the corners as…

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Q: Yulo decided to create an origami box from an 8 cm by 15 cm sheet of paper by cutting four slits and…

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Q: A rectangular box without a lid is to be made from 12m2 of cardboard. Find the maximum volume of…

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Q: Q2. Calculate the maximum volume that can be got from a rectangular sheet (4cmx3cm). The sheet is…

A: To solve this problem, we have to obtain the volume of the open box as a function of some variable x…

Q: The perimeter of an isosceles triangle is 42 cm.  Find the maximum area of the isosceles triangle…

A: Let's find.

Q: A 21-foot ladder is used to make a service connection to a building. The bottom of the ladder cannot…

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Q: Paula plans to build a rectangular closure for her dogs using 140m of fencing. What is the maximum…

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Q: A window is in the shape of a rectangle surrounded by a semicircle. If the perimeter of the window…

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Q: Phil wants to design an open box with a square base with a surface area of 400 square inches. What…

A: We need to find dimensions of a box whose volume is maximum.  & volume = x^2 y

Q: Alex wants to design a beach cabana tent with a rectangular box shape. The tent will have two square…

A:

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

A: Given: The total perimeter is 16 feet. The given window is formed by adjoining semicircle to the top…

Q: A 10 m? plastic is to be used to form a hollow cylinder that has a circular base and| an open top.…

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Q: (EX) Max wishes to enclose a rectangular garden, using one side of his house as shown below. What is…

A: We use second derivative test to find out dimensions of rectangular garden have maximum area

Q: A thin-walled cone-shaped cup (see figure) is to hold 36t cm of water when full. What dimensions…

A:

Q: Suppose that 404 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Area of the shape=Area of the semicircle+Area of rectangle .Area of semicircle=πx22x12…

Q: A rancher has 480 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A: Total fencing needed in that given picture is= x+x+x+x+y+y+y=4x+3y Given that the rancher has 480…

Q: | We have 48 m? of material to build an open box with a square base. nine the dimensions of the box…

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Q: A farmer would like to construct a cage to separate farm animals. He has 600 meters of materials to…

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Q: A rancher has 320 ft of fencing with which to build a rectangular corral alongside an existing…

A: In a rectangle, the opposite sides are equal to each other. Consider, one of the side lengths of the…

Q: A carpenter is building a rectangular room with a fixed perimeter of 116 ft. What dimensions would…

A:

Q: You are given a rectangular piece of paper that has length x=35.4 cm and height y=28 cm. The lower…

A: Since, we have been given a rectangular piece of paper that has lengthx=35.4 cm and height y=28 cm.…

Q: top of the second post. How far from the shorter pole must the peg be installed so that the length…

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