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Answer :
Sure! Let's go through the steps to find the formula for converting temperature from degrees Fahrenheit to degrees Celsius.
1. Start with the given formula for Celsius to Fahrenheit:
- The formula is [tex]\( F(C) = \frac{9}{5} C + 32 \)[/tex].
2. We want to find the inverse formula:
- This inverse formula will allow us to convert from Fahrenheit back to Celsius.
3. Begin by setting the equation for Fahrenheit:
- Let [tex]\( F \)[/tex] be the temperature in Fahrenheit. We start with the equation [tex]\( F = \frac{9}{5} C + 32 \)[/tex].
4. Solve for [tex]\( C \)[/tex]:
- First, subtract 32 from both sides of the equation to isolate the term involving [tex]\( C \)[/tex]:
[tex]\[
F - 32 = \frac{9}{5} C
\][/tex]
5. Remove the fraction by multiplying both sides by the reciprocal of [tex]\(\frac{9}{5}\)[/tex], which is [tex]\(\frac{5}{9}\)[/tex]:
- [tex]\[
C = \frac{5}{9} (F - 32)
\][/tex]
6. Conclude with the formula:
- So, the formula for converting a temperature from Fahrenheit to Celsius is:
[tex]\[
C = \frac{5}{9} (F - 32)
\][/tex]
This is the formula you can use to convert any temperature value from degrees Fahrenheit to degrees Celsius.
1. Start with the given formula for Celsius to Fahrenheit:
- The formula is [tex]\( F(C) = \frac{9}{5} C + 32 \)[/tex].
2. We want to find the inverse formula:
- This inverse formula will allow us to convert from Fahrenheit back to Celsius.
3. Begin by setting the equation for Fahrenheit:
- Let [tex]\( F \)[/tex] be the temperature in Fahrenheit. We start with the equation [tex]\( F = \frac{9}{5} C + 32 \)[/tex].
4. Solve for [tex]\( C \)[/tex]:
- First, subtract 32 from both sides of the equation to isolate the term involving [tex]\( C \)[/tex]:
[tex]\[
F - 32 = \frac{9}{5} C
\][/tex]
5. Remove the fraction by multiplying both sides by the reciprocal of [tex]\(\frac{9}{5}\)[/tex], which is [tex]\(\frac{5}{9}\)[/tex]:
- [tex]\[
C = \frac{5}{9} (F - 32)
\][/tex]
6. Conclude with the formula:
- So, the formula for converting a temperature from Fahrenheit to Celsius is:
[tex]\[
C = \frac{5}{9} (F - 32)
\][/tex]
This is the formula you can use to convert any temperature value from degrees Fahrenheit to degrees Celsius.
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