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The formula F = 9 5 C + 32 may be used to convert Celsius temperatures to Fahrenheit temperatures. What is the range of Celsius temperatures if the Fahrenheit range is -42 ^ ∘ F to 22 ^ ∘ F. The corresponding Celsius range would be ^ ∘ C to ^ ∘ C. Round Celsius temperature answers to 2 decimal places. Submit QuestionQuestion 17

Sagot :

Answer:

-41.11°C to -5.56°C

Step-by-step explanation:

Given the formula for converting Celsius temperatures to Fahrenheit temperatures expressed as;

F = 9/5C + 32

If F = -42∘F

-42 = 9/5C + 32

9/5C = -42-32

9/5C = -74

9C = -74*5

9C = -370

C = -41.11°C

For F =22°F;

22 = 9/5C + 32

9/5C = 22-32

9/5C = -10

9C = 5*-10

9C = -50

C = -5.56°C

Hence the corresponding Celsius range would be -41.11°C to -5.56°C

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