The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length. If a beam is 1/3 ft. wide, ½ ft. high and 11 ft. long can support 20 tons, find how much a similar beam can support if the beam is ¼ ft. wide, ¼ ft. high, and 17 ft. long. A. 2.71 tons B. 2.54 tons C. 2.43 tons D. 2.68 tons
The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length. If a beam is 1/3 ft. wide, ½ ft. high and 11 ft. long can support 20 tons, find how much a similar beam can support if the beam is ¼ ft. wide, ¼ ft. high, and 17 ft. long. A. 2.71 tons B. 2.54 tons C. 2.43 tons D. 2.68 tons
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 6SC
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The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length. If a beam is 1/3 ft. wide, ½ ft. high and 11 ft. long can support 20 tons, find how much a similar beam can support if the beam is ¼ ft. wide, ¼ ft. high, and 17 ft. long.
A. 2.71 tons
B. 2.54 tons
C. 2.43 tons
D. 2.68 tons
- THE CORRECT ANSWER IS 2.43 tons, PLEASE SHOW STEP BY STEP SOLUTION SO THAT I MAY BE ABLE TO LEARN HOW TO SOLVE SIMILAR PROBLEMS IN THE FUTURE, THANKS :)
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