A wire 7 meters long is cut into two pieces. One piece is bent into a equilateral triangle for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be cut to minimize the total area of both figures? Give the length of wire used for each: For the equilateral triangle: a x2 (7-x)2 For the circle: 12v3 (for both, include units) Where should the wire be cut to maximize the total area? Again, give the length of wire used for each: For the equilateral triangle: 4.3623m For the circle: 2.6326m (for both, include units)

A wire 7 meters long is cut into two pieces. One piece is bent into a equilateral triangle for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be cut to minimize the total area of both figures? Give the length of wire used for each: For the equilateral triangle: a x2 (7-x)2 For the circle: 12v3 (for both, include units) Where should the wire be cut to maximize the total area? Again, give the length of wire used for each: For the equilateral triangle: 4.3623m For the circle: 2.6326m (for both, include units)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.CR: Review Exercises

Problem 9CR: Tom Morrow wants to buy some fertilizer for his yard. The lot size is 140 ft by 160 ft. The outside...

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Question

A wire 7 meters long is cut into two pieces. One piece is bent into a equilateral triangle for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV
antenna. To reduce storage space, where should the wire be cut to minimize the total area of both figures? Give the length of wire used for each:
For the equilateral triangle: 3 a
(7-x)2
For the circle:
12v3
(for both, include units)
Where should the wire be cut to maximize the total area? Again, give the length of wire used for each:
For the equilateral triangle: 4.3623m
For the circle: 2.6326m
(for both, include units)

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