Use the Following Information to Solve the Problem $( x + 43.9 ) ^ { 2 } + ( y + 49.7 ) ^ { 2 } = 25.8$

question 48

Multiple Choice

Use the following information to solve the problem. An airport is located at point O. A short-range radar tower is located
at point R. The maximum range at which the radar can detect a plane is 4 miles from point R.
-A Ferris wheel has a radius r of 25.8 feet. The height of the tower t is 49.7 feet. The distance d from the origin to the base is 43.9 feet. Find the standard form equation of the circle represented by the Ferris wheel.

• A) \(( x + 43.9 ) ^ { 2 } + ( y + 49.7 ) ^ { 2 } = 25.8\)
• B) \(( x + 43.9 ) ^ { 2 } + ( y + 49.7 ) ^ { 2 } = 665.64\)
• C) \(( x - 43.9 ) ^ { 2 } + ( y - 49.7 ) ^ { 2 } = 25.8\)
• D) \(( x - 43.9 ) ^ { 2 } + ( y - 49.7 ) ^ { 2 } = 665.64\)

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Definitions:

Market Shares

The portion of a market controlled by a particular company or product, often expressed as a percentage of total sales.

Herfindahl Index

A measure of the concentration and competitiveness of an industry, calculated by summing the squares of the market shares of each firm within the industry.

Four-Firm Concentration Ratio

a measure of market concentration and competition among the four largest firms in an industry, expressed as a percentage of total market sales.

Oligopolistic Industry

An industry characterized by a small number of firms that have significant control over market prices and where strategic interactions among these firms determine market dynamics.