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

If θ 45 what is the area of the opening.

A rain gutter is to be made of aluminum sheets that are 12 inches wide.

A rain gutter is made from sheets of aluminum that are 12 inches wide by turning up the edges to form right angles. A rain gutter is made from sheets of aluminum that are 18 inches wide by turning up the edges to form right angles. After marking off a length of 4 inches from each edge this length is bent up at an angle θ. Round to the nearest tenth of an inch.

See the hlustration what depth will provide maximum cross sectional wrea and hence allow the most water to flow. Let x depth of the gutter then 18 2x width of the gutter. B what depths will allow at least 54 square inches of water to flow. Determine the depth of the gutter that will allow a cross sectional area of 60 square inches.

A rain gutter is made from sheets of aluminum that are 20 inches wide. A θ 16 sin θ cos θ 1. There are two solutions to this problem. B what depths will allow at least 16 square inches of water to flow.

Show that there are two different solutions to the problem. The area a of the opening may be expressed as the function. 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. The edges are turned up to form right angles.

A rain gutter is to be made of aluminum sheets that are 12 inches wide by turning up the edges 90. A rain gutter is made from sheets of aluminum that are 28 inches wide. Determine the depth of the gutter that will allow a cross sectional area of 13 square inches. Find the length that must be turned up to produce a gutter with a maximum cross sectional area.

The edges are turned up to form right angles. A rain gutter is to be constructed of aluminum sheets 12 inches wide. A long rectangular sheet of metal 10 in. Wide is to be made into a gutter by turning up sides of equal length perpendicular to the sheet.

A rain gutter is to be made of aluminum sheets that are 24 inches wide by turning up the edges 90. A depth width a. Round to the nearest tenth of an inch.