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!
Answer :
We start with the conversion formulas between Celsius ([tex]$C$[/tex]) and Fahrenheit ([tex]$F$[/tex]). The formula to convert from Celsius to Fahrenheit is
[tex]$$
F = \frac{9}{5} C + 32.
$$[/tex]
### Converting Fahrenheit to Celsius
To convert Fahrenheit to Celsius, we first solve the above formula for [tex]$C$[/tex]. Subtracting 32 from both sides gives
[tex]$$
F - 32 = \frac{9}{5} C.
$$[/tex]
Multiplying both sides by [tex]$\frac{5}{9}$[/tex], we have
[tex]$$
C = \frac{5}{9}(F - 32).
$$[/tex]
For [tex]$F = 71$[/tex] degrees Fahrenheit, substitute into the equation:
[tex]$$
C = \frac{5}{9} (71 - 32) = \frac{5}{9} \times 39.
$$[/tex]
Calculating the expression:
[tex]$$
\frac{5}{9} \times 39 = \frac{195}{9} \approx 21.6667.
$$[/tex]
Rounded to the nearest tenth, the temperature in Celsius is
[tex]$$
21.7^\circ C.
$$[/tex]
### Converting Celsius to Fahrenheit
Using the original formula for the reverse conversion, for [tex]$C = 39$[/tex] degrees Celsius, we have
[tex]$$
F = \frac{9}{5} \times 39 + 32.
$$[/tex]
First, multiply:
[tex]$$
\frac{9}{5} \times 39 \approx 70.2.
$$[/tex]
Then add 32:
[tex]$$
70.2 + 32 = 102.2.
$$[/tex]
Thus, the temperature in Fahrenheit is
[tex]$$
102.2^\circ F.
$$[/tex]
### Final Answers
- If the temperature is [tex]$71^\circ F$[/tex], it is equivalent to approximately [tex]$21.7^\circ C$[/tex].
- If the temperature is [tex]$39^\circ C$[/tex], it is equivalent to approximately [tex]$102.2^\circ F$[/tex].
[tex]$$
F = \frac{9}{5} C + 32.
$$[/tex]
### Converting Fahrenheit to Celsius
To convert Fahrenheit to Celsius, we first solve the above formula for [tex]$C$[/tex]. Subtracting 32 from both sides gives
[tex]$$
F - 32 = \frac{9}{5} C.
$$[/tex]
Multiplying both sides by [tex]$\frac{5}{9}$[/tex], we have
[tex]$$
C = \frac{5}{9}(F - 32).
$$[/tex]
For [tex]$F = 71$[/tex] degrees Fahrenheit, substitute into the equation:
[tex]$$
C = \frac{5}{9} (71 - 32) = \frac{5}{9} \times 39.
$$[/tex]
Calculating the expression:
[tex]$$
\frac{5}{9} \times 39 = \frac{195}{9} \approx 21.6667.
$$[/tex]
Rounded to the nearest tenth, the temperature in Celsius is
[tex]$$
21.7^\circ C.
$$[/tex]
### Converting Celsius to Fahrenheit
Using the original formula for the reverse conversion, for [tex]$C = 39$[/tex] degrees Celsius, we have
[tex]$$
F = \frac{9}{5} \times 39 + 32.
$$[/tex]
First, multiply:
[tex]$$
\frac{9}{5} \times 39 \approx 70.2.
$$[/tex]
Then add 32:
[tex]$$
70.2 + 32 = 102.2.
$$[/tex]
Thus, the temperature in Fahrenheit is
[tex]$$
102.2^\circ F.
$$[/tex]
### Final Answers
- If the temperature is [tex]$71^\circ F$[/tex], it is equivalent to approximately [tex]$21.7^\circ C$[/tex].
- If the temperature is [tex]$39^\circ C$[/tex], it is equivalent to approximately [tex]$102.2^\circ F$[/tex].
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!
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Rewritten by : Jeany
