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
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 2ST
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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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