What is the largest possible area such a region can have if its perimeter is to be 20 units?

Q: Find the dimensions of a rectangle with area 1000m2 whoseperimeter is as small as possible.

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Q: Find the dimensions of a rectangle with perimeter 68 m whose area is as large as possible. Show…

A: Given:Perimeter of a rectangle is 68 m.

Q: 3.) A fencing is limited to 50ft length. What is the maximum rectangular area that can be fenced in…

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Q: A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The…

A: Consider x to be the length and y to be the width of the rectangular region as shown below.

Q: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

A: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r.

A: Consider a rectangle, inscribed in a circle of radius r.Then,

Q: Show that the rectangle which has maximum area for a given perimeter is a square.

A: This problem can be solved by expressing the area of the rectangle as a function of single variable…

Q: Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of…

A: Solution:- calculate the value of base by using pythagores therorm.

Q: A rectangle is inscribed in a semicircle of radius R so that one side of the rectangle lies along a…

A: To find the largest possible perimeter

Q: A poster is to contain 150 in2 of printed matter, surrounded by margins that are 3 in wide on top…

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Q: composed

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Q: If the farmer has 246 feet of fencing, what are the dimensions of the region which enclose the…

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Q: 6. Find the minimum surface area of a box that holds 2 cubic meters.

A:

Q: Find the area of the largest rectangle that fits inside a circle of radius 3

A: Given: Radius of a circle r=3

Q: Norman builds a rectangular pig pen with two parallel partitions using 150 meters of fencing…

A: let the length of Pig pen be "a"width be " b" Perimeter=150 metresPerimeter = 2(a+b)…

Q: A rectangular field is to be covered by 800-meter of hog wire in such a way that one side has a…

A: Area of a rectangle with length x and breadth y is given by x.y. Perimeter of a rectangle with…

Q: Find the dimensions of the largest field that can be enclosed with this amount of fencing, and find…

A: The total length of fence is 148ft.

Q: A block has a mass of 50 kg and a density of 8.91 gram per cubic cm. Find the largest area of a…

A: Mass of a block = 50 kg Density of a block =8.91g/cm3 Mentioned dimension are 10m, 12m, 12m.

Q: A window is being built and the bottom is a rectangle and the top is a semicircle. If there is 12…

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Q: A landowner wishes to use 2 miles of fencing to enclose a rectangular region of maximum area. 1.…

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Q: с. How should the fencing be used to get the maximum possible area? How much area will the chickens…

A: Given that Total length of fencing wire is 100 ft to build the chicken coop. Since  marissa has to…

Q: what is the minimum possoble perimeter for a rectangle whose area is 100 in^2

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Q: 13 Find the area of the rectangle of largest area that can be inscribed in a semicircle of radius 6.

A: We first consider a semicircle with center at (0,0) and radius = 6  It will have equation:

Q: Suppose an airline policy states that all baggage must be​ box-shaped with a sum of​ length, width,…

A: Since the base is square, let the three-dimensional be x, x and y. Since they are lengths x,y,>0…

Q: 2. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible? Find…

A: Here we have to find the dimensions of w rectangle with perimeter 100m whose area is as large as…

Q: What is the largest area of a rectangle that could be inscribed in a semi circle having a radius of…

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the circle is given…

Q: What is the maximum total area of such a corral?

A: Let the length of rectangular corral = LBreadth of rectangular corral = BPerimeter of rectangular…

Q: The maximum possible volume of a rectangular box with the sum of its twelve edges 60 cm is

A: Given 12 edges sum is 60, let C=60So, 4x+4y+4z=CV=xyz    =xy(14C-x-y)    =14Cxy-x2y-xy2 for x>0,…

Q: A poster is to contain 300 cm? of printed matter with margins of 10 cm at the the top and bottom and…

A: Assume some variable to be length and breadth of the poster then find its area. Derivative of area…

Q: Find the dimensions of the largest rectangle that can be inscribed in a semicircle of radius 10. *

A: From the given figure we can derive length and breadth. below are the steps.

Q: If a cube has a volume of 64. What is it’s edge length

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Q: Find the dimensions of a rectangle with area 1000m2 whose perimeter is as small as possible.

A:

Q: Suppose that a pentagon is composed of a rectangle topped by an isosceles triangle. If the length of…

A: We have to find the maximum area.

Q: How many small cubes with edge of 20 cm each can be just accomodated in a cubical box of 2 m edge

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Q: What is the largest possible volume of a rectangular box whose diagonal has length L?

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Q: Find the area of the largest rectangle that can be inscribed in a semicircle of radius 10cm.

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Q: Find the largest possible area of a rectangle that can be inscribed in a circle having a radius of…

A: We find largest possible area of a rectangle that can be inscribed in a circle having a radius of…

Q: Determine the dimensions of the rectangle of rectangle of the largest area that can be inscribed in…

A:

Q: A farmer with 750 ft of fencing wants to enclose a rectangular region and then divide it into four…

A: Solve for the lager rectangle dimension and area of large rectangle

Q: An architect needs to design a rectangular room with an area of 89ft2 . What dimension should be use…

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Q: There is 100 feet of fencing available to enclose a rectangular region. For what widths will the…

A: There are 100 feet of fencing available to enclose a rectangular region. We need to find for what…

Q: If the farmer has 648 feet of fencing, what are the dimensions of the region which enclose the…

A: x = length of the rectangle y = width of the rectangle fencing =648 ft hence 2x + 3y = 648 x…

Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r .

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Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius 6…

A: Please refer the attached image for complete solution.

Q: 4. Find the maximum area of an isosceles triangle inscribed in a circle of radius r.

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Q: Of all rectangles with area 64, which one has the minimum perimeter?

A: It is required to find the dimensions of rectangle having area 64 units which will have a minimum…

Q: A box with an open top is to be constructed from a square piece of cardboard with dimensions 4 cm x…

A: The dimensions of the box is 4cm×4cm. Let each side of the square cut off from each corner be x cm.…

Q: Determine the dimensions of the largest rectangle that could be inscribed in a semi-circle of radius…

A:

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.