High School

The formula [tex]F = \frac{9}{5}C + 32[/tex] is used to convert temperature from degrees Celsius ([tex]C[/tex]) to degrees Fahrenheit ([tex]F[/tex]). It can also be used to convert Fahrenheit to Celsius.

Use this formula to convert [tex]59^\circ F[/tex] to degrees Celsius, and show your work for checking your answer.

Answer :

Final answer:

To convert 59°F to Celsius, use the formula °C = (°F - 32) × (5/9). The temperature in Celsius is 15°C. To check the answer, convert 15°C back to Fahrenheit using the formula °F = (°C × 9/5) + 32, resulting in 59°F.

Explanation:

To convert 59 degrees Fahrenheit (°F) to Celsius (°C), we can use the formula: °C = (°F - 32) × (5/9). Substituting the value of 59 into the formula:

°C = (59 - 32) × (5/9) = 27 × (5/9) = 15

Therefore, 59°F is equivalent to 15°C.

To check our answer, we can convert 15°C back to Fahrenheit using the same formula: °F = (°C × 9/5) + 32.

Substituting the value of 15 into the formula:

°F = (15 × 9/5) + 32 = 27 + 32 = 59

Our answer of 59°F confirms the accuracy of our conversion.

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