A Rain Gutter Is To Be Made Of Aluminum Sheets That Are 12 Inches Wide

A long rectangular sheet of metal 10 in.

A rain gutter is to be made of aluminum sheets that are 12 inches wide. A depth width a. Show that there are two different solutions to the problem. See the hlustration what depth will provide maximum cross sectional wrea and hence allow the most water to flow. A what depth will provide maximum cross sectional area and hence allow the most water to flow.

A rain gutter is made from sheets of aluminum that are 12 inches wide by turning up the edges to form right angles. Determine the depth of the gutter that will allow a cross sectional area of 13 square inches. After marking off a length of 4 inches from each edge this length is bent up at an angle θ. A θ 16 sin θ cos θ 1.

The edges are turned up to form right angles. A rain gutter is to be made of aluminum sheets that are 24 inches wide by turning up the edges 90. If θ 45 what is the area of the opening. Determine the depth of the gutter that will maximize its cross sectional area and allow the greatest amount of water to flow let the height be x then base is 12 2x area x 12 2x 2x 2 12x.

Round to the nearest tenth of an inch. A rain gutter is made from sheets of aluminum that are 18 inches wide by turning up the edges to form right angles. A rain gutter is made from sheets of aluminum that are 20 inches wide. A rain gutter is to be made of aluminum sheets that are 12 inches wide by turning up the edges 90.

Let x depth of the gutter then 18 2x width of the gutter. B what depths will allow at least 16 square inches of water to flow. There are two solutions to this problem. The edges are turned up to form right angles.

A rain gutter is to be constructed of aluminum sheets 12 inches wide. Determine the depth of the gutter that will allow a cross sectional area of 60 square inches. The area a of the opening may be expressed as the function. Find the length that must be turned up to produce a gutter with a maximum cross sectional area.

Round to the nearest tenth of an inch. B what depths will allow at least 54 square inches of water to flow. A rain gutter is to be made of aluminum sheets that are 12 inches wide by turning up the edges 90 degrees what depth will provide maximum cross sectional area and hence allow the most water to flow.