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Thank you for visiting Celsius and Fahrenheit The formula to convert from Celsius to Fahrenheit is tex F frac 9 5 C 32 tex Use this formula to complete. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

Celsius and Fahrenheit

The formula to convert from Celsius to Fahrenheit is [tex]F = \frac{9}{5}C + 32[/tex]. Use this formula to complete the statements below. Round your answers to the nearest tenth as needed.

- If the temperature is 80 degrees Fahrenheit, that is equivalent to ___ degrees Celsius.

- If the temperature is 35 degrees Celsius, that is equivalent to ___ degrees Fahrenheit.

Answer :

To solve the problem of converting temperatures between Celsius and Fahrenheit, we'll use two formulas:

1. To convert from Fahrenheit to Celsius:
[tex]\[
C = \frac{5}{9} (F - 32)
\][/tex]

2. To convert from Celsius to Fahrenheit:
[tex]\[
F = \frac{9}{5} C + 32
\][/tex]

Let's work through the statements using these formulas:

1. If the temperature is 80 degrees Fahrenheit, what is the equivalent in Celsius?

- Start with the formula to convert Fahrenheit to Celsius:
[tex]\[
C = \frac{5}{9} (F - 32)
\][/tex]

- Substitute [tex]\(F = 80\)[/tex] into the formula:
[tex]\[
C = \frac{5}{9} (80 - 32)
\][/tex]

- Calculate the difference:
[tex]\[
C = \frac{5}{9} \times 48
\][/tex]

- Multiply:
[tex]\[
C = \frac{240}{9} \approx 26.7
\][/tex]

So, 80 degrees Fahrenheit is approximately 26.7 degrees Celsius.

2. If the temperature is 35 degrees Celsius, what is the equivalent in Fahrenheit?

- Use the formula to convert Celsius to Fahrenheit:
[tex]\[
F = \frac{9}{5} C + 32
\][/tex]

- Substitute [tex]\(C = 35\)[/tex] into the formula:
[tex]\[
F = \frac{9}{5} \times 35 + 32
\][/tex]

- Multiply:
[tex]\[
F = 63 + 32
\][/tex]

- Add:
[tex]\[
F = 95
\][/tex]

Therefore, 35 degrees Celsius is equivalent to 95 degrees Fahrenheit.

These calculations give the following conversions:
- 80 degrees Fahrenheit is approximately 26.7 degrees Celsius.
- 35 degrees Celsius is 95.0 degrees Fahrenheit.

Thank you for reading the article Celsius and Fahrenheit The formula to convert from Celsius to Fahrenheit is tex F frac 9 5 C 32 tex Use this formula to complete. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany