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Chapter 2: Problem 11

To convert from degrees Fahrenheit to degrees Celsius, use the following formula. $$C=5(F-32) \div 9$$ a. Convert \(86^{\circ} \mathrm{F}\) into degrees Celsius. b. What is a temperature of \(41^{\circ} \mathrm{F}\) equal to in degrees Celsius?

Short Answer

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Question: Convert the given temperatures to Celsius using the formula $$C=5(F-32) \div 9$$. a. \(86^{\circ} \mathrm{F}\) b. \(41^{\circ} \mathrm{F}\) Answer: a. \(30^{\circ} \mathrm{C}\) b. \(5^{\circ} \mathrm{C}\)

Step by step solution

01

Convert 86 degrees Fahrenheit to Celsius

Using the formula $$C=5(F-32) \div 9$$, substitute \(F=86\): $$C = 5(86-32) \div 9$$
02

Calculate 86 degrees Fahrenheit to Celsius conversion

Perform the operations in the formula: $$C = 5(54) \div 9$$ $$C = 270 \div 9$$ $$C = 30$$ The temperature of \(86^{\circ} \mathrm{F}\) is equal to \(30^{\circ} \mathrm{C}\).
03

Convert 41 degrees Fahrenheit to Celsius

Using the formula $$C=5(F-32) \div 9$$, substitute \(F=41\): $$C = 5(41-32) \div 9$$
04

Calculate 41 degrees Fahrenheit to Celsius conversion

Perform the operations in the formula: $$C = 5(9) \div 9$$ $$C = 45 \div 9$$ $$C = 5$$ The temperature of \(41^{\circ} \mathrm{F}\) is equal to \(5^{\circ} \mathrm{C}\).

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