The resistance, R, of a wire varies directly as its length and inversely as the square of its diameter. If the resistance of a wire 1500 ft long with a diameter of 0.35 inches is 10796 ohms, what is the resistance of 2800 ft of the same type of wire with a diameter of 0.07 inches? (Leave k in fraction form or round to at least 3 decimal places. Round off your final answer to the nearest hundredth.)

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 508E: The area of the face of a Ferris wheel varies directly with the square of its radius. If the area of...
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The resistance, R, of a wire varies directly as its length and inversely as the square of its diameter. If the resistance of a wire
1500 ft long with a diameter of
0.35 inches is
10796 ohms, what is the resistance of
2800 ft of the same type of wire with a diameter of
0.07 inches? (Leave k in fraction form or round to at least 3 decimal places. Round off your final answer to the nearest hundredth.)
Transcribed Image Text:The resistance, R, of a wire varies directly as its length and inversely as the square of its diameter. If the resistance of a wire 1500 ft long with a diameter of 0.35 inches is 10796 ohms, what is the resistance of 2800 ft of the same type of wire with a diameter of 0.07 inches? (Leave k in fraction form or round to at least 3 decimal places. Round off your final answer to the nearest hundredth.)
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