The Load L a Horizontal Beam Can Safely Support Varies

question 6

Multiple Choice

The load L a horizontal beam can safely support varies jointly as the width w and the square of the depth d and inversely as the length l . If a 16-foot beam with width 7 inches and depth 15 inches safely supports 272 pounds, how many pounds can a 20-foot beam that has width 8 inches and depth 9 inches be expected to support? Round to the nearest pound. Assume the two beams are made of the same material.

• A)184 lbs
• B)559 lbs
• C)89 lbs
• D)79 lbs
• E)73 lbs

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Definitions:

Syllogism

A form of reasoning in which a conclusion is drawn from two given or assumed propositions (premises), each of which shares a common or middle term not present in the conclusion.

Figure

An object's shape, outline, or representation in art or mathematics, or a notable person in a particular field.

Syllogism

A form of reasoning in which a conclusion is drawn from two given or assumed propositions (premises); a logical structure that uses three parts.

Middle Term

In a categorical syllogism, the term that appears in both premises and links together the major and minor terms.