A rectangle is bounded by the x-axis and the semicircle =V 25 -x (see figure), What length and width should the rectangle have so that its area is a maxim (smaller value) (larger value) 14 10 4. 10

Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

A: A farmer plans to enclose a rectangular pasture adjustment to a river The pasture must be 5000…

Q: A rectangle is bounded by the x-axis and the semicircle  y =    81 − x2  (see figure). What…

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Q: LEGIBLY 1. A rectangle has an area of 180 cm2 and a perimeter of 54 cm. What are its dimensions?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Norman Windows A Norman window has the shape of arectangle surmounted by a semicircle of diameter…

A: To find: The dimension that admit most light. Given: The perimeter of the window is 20 feet. Concept…

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Q: 3. The triangle with vertices ( -,1), ( 3,-;) and (1,x ) has an 93 area of sq. units. Find the value…

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Q: N The sum of the squared errors is an overall measure of how much f(x) deviates from the data. Here,…

A: i) Here, the function that you have to fit the data in is, fx=ax2+b. Now, the sum of the squared…

Q: 3. Find the geometric probabilty of landing in the shaded area of the picture. The small circle has…

A: The solution is:

Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

A: Given The pasture area is 180,000 square meter  The x width  is length and  y meter is width

Q: 5. An open-top box is to be made by cutting squares from a sheet of tin 4 ft. long and 2.5 ft. wide…

A: 5. Given that, An open-top box is to be made by cutting squares from a sheet of tin 4 ft. long and…

Q: 5. A rectangular window surmounted by a right isosceles triangle has a perimeter equal to 54.14 m.…

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Q: 10. A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of…

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Q: Square A'B'C'D' is the image of square ABCD under dilation from center O, by scale factor r. Square…

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Q: 1. A candy company needs a custom box for their truffles. The box they've chosen is in the shape of…

A: Given,  V=1/2(4πr^3/3)+πr^2(y-r)

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Q: 9. Which statement best describes the relationship between the volume of a cone and a cylinder that…

A: Solving by volume formula we have

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Q: 12) A chemical company needs to paint thirty-five chemical tanks including the top and the bottom of…

A: Here, chemical tank is a cylinder with diameter, d=6 and height, h=6. The radius of the tank will be…

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Q: Allysa’s bosses want her to build a rectangular pen against the old barn. The barn is 19.5m long and…

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Q: A gutter is to be made of a strip of metal 18.9 inches wide, with the cross-section having the form…

A: Given that a gutter is to be made from a strip of metal 18.9 inches wide. The cross- section of the…

Q: A rectangular field is to have an area of 900 sq. m . This is to be enclosed and divided into three…

A: We need relation between x and y and then replace y to get P(x)

Q: A box with a square base is to have a volume of 8 cubic meters. Let x be the length of the side of…

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Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

A: We are try to optimize the fencing which is equivalent to the perimeter of the 3-sided "rectangle"…

Q: 3-4 D The side of square ABCD is 10 cm. What is the value of x if the unshaded area equals the…

A: Area of square = (side)2  Area of rectangle = length X Breadth

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A: Given:  To be find: Expression for volume, value of x for maximum volume and maximum volume of the…

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A: Given that, Student covers the surface of the ramp with a different material and measures the time…

Q: EXERCISE 1.3 A ranch has two fenced rectangular areas. Area A has a length of 750 m and width 125 m,…

A: Given data: The Area A has a length of 750 m and width 125 m. Consider the length l1=750 m and…

Q: Find the surface area of the hemisphere found by revolving y = 9 - x2 . The 9 - x2( x squared) . The…

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Q: 5. The dimensions of Hans' turtle aquarium are 18 in by 18 in by 12 in. The dimensions of Anna's…

A: We have given the dimension of the hans turtle aquarium i.e  Length= 18 in  Breadth  = 18 in…

Q: Consider the rectangle. 14 units 8 units What are the dimensions of the rectangle after applying a…

A: To find: The dimension of the rectangle after applying a horizontal scale factor of 150% and a…

Q: A rectangular poster is to contain 338 square centimeters of print. The margins at the top and…

A: Here we have to use the concept of derivatives.

Q: MY NOTE An open box of maximum volume is to be made from a square piece of material, s = 30 inches…

A: Given: S= 30 inches

Q: Look at prism A and prism B. Which statement is true? T. O The surface area of prism A is of the…

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Q: Existing Fence Cows Goats Sheep бх 4x 2x A farmer wishes to build rectangular enclosures against an…

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Q: 7) An open-top box is constructed from a piece of cardboard 50 cm × 40 cm by cutting congruent…

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Q: 32. A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of…

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Q: # ·0 O P Q O 4 cm Two cylinders, P and Q, are mathematically similar. The total surface area of…

A: Two cylinders, P and Q, are mathematically similar. The total surface area of cylinder P is 90π cm2.…

Q: 11. The volume of a particular rectangular box is given by the cquation V = 50x-2x'. The height and…

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Q: II. Answer the following ques 1. A window in the shape of a rectangle surmounted by a right triangle…

A: Given that the ratio of the height of the right triangle to the width of the rectangle is 5:12. Let…

Q: A rectangular cardboard has dimensions 50 cm by 100 cm. A box is to be made from the cardboard by…

A: We are asked to find the volume of the cardboard.

Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

A: We use the application of the derivative to solve this question

Q: A tank in the form of a right circular cone has a height of 4 m and a top diameter of 2 m.  It is…

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Q: 12. A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height…

A: Volume of cone and cylinder

Q: 3. A lot in rectangular shape is to be fenced off along a highway. The cost of the fence on the…

A: We have to find largest area

Q: O 3. How does the volume of a cylinder with a radius of 4 units and a height of 12 units compare to…

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Q: 6. The diagonals of square EFGH intersect at point L. a. Draw and label the square below. b. If…

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Q: A custom window is made by putting a semicircle on top of a rectangle (see the picture below).…

A: To find: The length l and height h of the rectangle that provides the minimal perimeter of window.…