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Julie is visiting family in Oregon, USA. A thermometer outside the house reads 37°F. What is the temperature in degrees Celsius?*1 point– 4.2°C2.8°C7.8°C14.8°C

Question

Julie is visiting family in Oregon, USA. A thermometer outside the house reads 37°F. What is the temperature in degrees Celsius?

  • 1 point
    – 4.2°C
    2.8°C
    7.8°C
    14.8°C
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Solution

1. Break Down the Problem

We need to convert the temperature from Fahrenheit (°F) to Celsius (°C) using the conversion formula.

2. Relevant Concepts

The formula to convert Fahrenheit to Celsius is: C=59×(F32) C = \frac{5}{9} \times (F - 32) where CC is the temperature in Celsius and FF is the temperature in Fahrenheit.

3. Analysis and Detail

We are given F=37°FF = 37°F. We will substitute this value into the conversion formula:

  1. Subtract 32 from the Fahrenheit temperature: 3732=5 37 - 32 = 5

  2. Multiply the result by 59\frac{5}{9}: C=59×5 C = \frac{5}{9} \times 5

  3. Perform the multiplication: C=2592.78°C C = \frac{25}{9} \approx 2.78°C

4. Verify and Summarize

The calculation C2.78°CC \approx 2.78°C rounds to 2.8°C.

Final Answer

The temperature in degrees Celsius is approximately 2.8°C.

This problem has been solved

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