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Answer :
To convert a temperature from Fahrenheit to Celsius, you can use the following formula:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
In this question, we want to find out what 86 degrees Fahrenheit is in Celsius. To do this, we need to solve the formula for [tex]\(C\)[/tex]. Here's how you can do it step-by-step:
1. Start with the given formula:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
2. Plug the Fahrenheit temperature of 86 degrees into the formula:
[tex]\[ 86 = \frac{9}{5}C + 32 \][/tex]
3. Subtract 32 from both sides to isolate the term with [tex]\(C\)[/tex]:
[tex]\[ 86 - 32 = \frac{9}{5}C \][/tex]
4. Simplify the left side:
[tex]\[ 54 = \frac{9}{5}C \][/tex]
5. To solve for [tex]\(C\)[/tex], multiply both sides by the reciprocal of [tex]\(\frac{9}{5}\)[/tex], which is [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = 54 \times \frac{5}{9} \][/tex]
6. Calculate the right side:
[tex]\[ C = 30 \][/tex]
Therefore, 86 degrees Fahrenheit is equivalent to 30 degrees Celsius.
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
In this question, we want to find out what 86 degrees Fahrenheit is in Celsius. To do this, we need to solve the formula for [tex]\(C\)[/tex]. Here's how you can do it step-by-step:
1. Start with the given formula:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
2. Plug the Fahrenheit temperature of 86 degrees into the formula:
[tex]\[ 86 = \frac{9}{5}C + 32 \][/tex]
3. Subtract 32 from both sides to isolate the term with [tex]\(C\)[/tex]:
[tex]\[ 86 - 32 = \frac{9}{5}C \][/tex]
4. Simplify the left side:
[tex]\[ 54 = \frac{9}{5}C \][/tex]
5. To solve for [tex]\(C\)[/tex], multiply both sides by the reciprocal of [tex]\(\frac{9}{5}\)[/tex], which is [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = 54 \times \frac{5}{9} \][/tex]
6. Calculate the right side:
[tex]\[ C = 30 \][/tex]
Therefore, 86 degrees Fahrenheit is equivalent to 30 degrees Celsius.
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