22 In the diagram below, BC-(10-x)units, AF B 19 x D
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- Minimum Find the minimum value of x2+20/(x+1) on the horizontal span of 0 to 10.A piece in the shape of a pyramid with a regular octagon (eight sided) base is machined from a solid block of bronze. Each side of the octagon base is 9.36 inches long. The height of the piece is 7.08 inches. The octagon base area 4.829, where s is the length of a side of the octagon. a. Determine the volume of the piece. Round the answer to the nearest cubic inch. b. Determine the weight of the piece. Round the answer to the nearest pound. Note: One cubic foot of the bronze used weighs 547.9 pounds per cubic foot.a rancher wants to build a rectangular pen where one side of the pen is against the barn. the rancher is only able to afford 125 m of fencing. what is the maximum area of the pen she can build with this amount. find the dimensions of the pen and state its area. round your results to 2 decimal places.
- 3. A farmer wishes to make a rectangular chicken run using the existing wall as one side. He has 16 meters of wire netting. Find the dimension of the run which will give the maximum area. What is this area?A rectangle has one side on the x-axis and two corners on the top half of the circle of radius 1 centered at the origin. What is the maximum area of such a rectangle? What are the coordinates of the top-right vertex? x-coordinate _____ y-coordinate _____the campus of a college has plans to construct a rectangular parking lot on land bordered on one side by a highway. there are 720ft of fencing available to fence the other three sides. let x represent the length of each of the two parallel sides of fencing. a.) express the length of the remaining side to be fenced in terms of x. b.) determine a funcion A that respresents the area of the parking lot in terms of x. c.) what dimension will give a maximum area, and what will this area be?
- Dinide 60 into two parts tr that the product of one part and the square of the other is a maximum. what is the smaller part?A rancher with 120 meters of fencing wants to enclose a rectangular region along a river (which serves as a boundary requiring no fencing) Find the length and width of the region and the maximum area that can be enclosed. A) express the area of the region as a function of the length x of the side parallel to the river what are the dimensions ______ by ______ and what is the maximum area in m^2A rectangular package to be sent by a postal service can have a maximum combinedlength and girth (perimeter of a cross section) of 108 inches. Find the dimensions of thepackage with maximum volume. Assume the package's dimensions are x by x by length y.
- Area If 25,000 feet of fence are used to enclose arectangular field, the resulting area of the field isA = (12,500 - x)x, where x is the width of thepen. What is the maximum possible area of the pen?A rectangular area of 28,000 ft2is to be fenced off. Twotypes of fencing material are being considered: Metal fencing whichcosts $2 per ft and Wooden fencing which costs $5 per foot. You willbe finding the dimensions (length and width) and the minimum totalcost for fencing the area for three different scenarios. In each case youshould find the exact value of both dimensions and an approximationto the nearest foot, as well as the total cost for fencing the area (to thenearest dollar). Find the minimum cost for fencing the rectangular area if metal fencing is used for all four sides. What would be the length and widthof this rectangle (exact value and rounded to the nearest foot)?A rectangular area of 28,000 ft2is to be fenced off. Twotypes of fencing material are being considered: Metal fencing whichcosts $2 per ft and Wooden fencing which costs $5 per foot. You willbe finding the dimensions (length and width) and the minimum totalcost for fencing the area for three different scenarios. In each case youshould find the exact value of both dimensions and an approximationto the nearest foot, as well as the total cost for fencing the area (to thenearest dollar). Find the minimum cost for fencing the rectangular area if metalfencing is used for two opposite sides and wooden fencing used forthe other two opposite sides. What would be the length and widthof this rectangle (exact value and rounded to the nearest foot)?