A Wooden Beam Has a Rectangular Cross Section of Height

question 427

Multiple Choice

A wooden beam has a rectangular cross section of height h and width w (see figure) .The strength S of the beam is directly proportional to the width and the square of the height.What are the dimensions of the strongest beam that can be cut from a round log of diameter d = 26 inches? Round your answers to two decimal places.[Hint: where k > 0 is the proportionality constant.] ​

• A) inches and inches
• B) inches and inches
• C) inches and inches
• D) inches and inches
• E) inches and inches

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Definitions:

Financial Statements

Official records that detail the financial activities and condition of a business, including income statement, balance sheet, and cash flow statement.

Retained Earnings

The portion of a business’s profits not distributed to shareholders, instead reinvested in the business or kept for reserve.

Cash Dividends

Payments made by a corporation to its shareholder members in the form of cash.

Stock Dividends

A dividend payment made to shareholders in the form of additional shares rather than cash.