(a) Alina needs to make a flyer for her band's concert.The flyer mustcontain 20 square inches of printed material and fordesign purposesshould have side margins of 1 inch and top andbottom margins of2 inches. What size paper should Alina use in orderto use the leastamount of paper per flyer as possible?(b) Your company produces cylindrical metal oildrums that must eachhold 40 cubic feet of oil. How should the oil drumsbe constructedso that they use as little metal as possible? Canthey be constructedto use as much metal as possible?(c) An airplane leaves Chicago at noon and travelssouth at 500 milesper hour. Another airplane is travelling east towardsChicago at650 miles per hour and arrives at 2:00 p.m.. Whenwere these twoairplanes closest to each other, and how far apartwere they at thattime?(d) A steam pipe must be buried underground toreach from one cornerof a rectangular parking lot to the diagonallyopposite corner. Thedimensions of the parking lot are 500 feet by 800feet. It costs 5dollars per foot to lay steam pipe under thepavement but only 3dollars per foot to lay the pipe along one of the longedges of theparking lot. Because of nearby sidewalks, the pipecannot be laidalong the 500-foot sides of the parking lot. Howshould the steampipe be buried so as to cost as little as possible?

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(a) Alina needs to make a flyer for her band's concert. The flyer must contain 20 square inches of printed material and for design purposes should have side margins of 1 inch and top and bottom margins of 2 inches. What size paper should Alina use in order to use the least amount of paper per flyer as possible?

(a) Alina needs to make a flyer for her band's concert. The flyer must contain 20 square inches of printed material and for design purposes should have side margins of 1 inch and top and bottom margins of 2 inches. What size paper should Alina use in order to use the least amount of paper per flyer as possible?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

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Question

(a) Alina needs to make a flyer for her band's concert.
The flyer must
contain 20 square inches of printed material and for
design purposes
should have side margins of 1 inch and top and
bottom margins of
2 inches. What size paper should Alina use in order
to use the least
amount of paper per flyer as possible?
(b) Your company produces cylindrical metal oil
drums that must each
hold 40 cubic feet of oil. How should the oil drums
be constructed
so that they use as little metal as possible? Can
they be constructed
to use as much metal as possible?
(c) An airplane leaves Chicago at noon and travels
south at 500 miles
per hour. Another airplane is travelling east towards
Chicago at
650 miles per hour and arrives at 2:00 p.m.. When
were these two
airplanes closest to each other, and how far apart
were they at that
time?
(d) A steam pipe must be buried underground to
reach from one corner
of a rectangular parking lot to the diagonally
opposite corner. The
dimensions of the parking lot are 500 feet by 800
feet. It costs 5
dollars per foot to lay steam pipe under the
pavement but only 3
dollars per foot to lay the pipe along one of the long
edges of the
parking lot. Because of nearby sidewalks, the pipe
cannot be laid
along the 500-foot sides of the parking lot. How
should the steam
pipe be buried so as to cost as little as possible?

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