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Answer :
To find the Celsius temperature when the Fahrenheit temperature is [tex]\(50^{\circ}\)[/tex], we can use the formula that connects Fahrenheit and Celsius temperatures:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
Since we want to find the Celsius temperature ([tex]\(C\)[/tex]) and we know the Fahrenheit temperature is [tex]\(50^{\circ}\)[/tex], we need to rearrange the formula to solve for [tex]\(C\)[/tex].
1. Start with the formula:
[tex]\[ 50 = \frac{9}{5}C + 32 \][/tex]
2. Subtract 32 from both sides to isolate the term [tex]\(\frac{9}{5}C\)[/tex]:
[tex]\[ 50 - 32 = \frac{9}{5}C \][/tex]
3. Simplify the left side:
[tex]\[ 18 = \frac{9}{5}C \][/tex]
4. Multiply both sides by [tex]\(\frac{5}{9}\)[/tex] to solve for [tex]\(C\)[/tex]:
[tex]\[ C = 18 \times \frac{5}{9} \][/tex]
5. Calculate the value:
[tex]\[ C = 10 \][/tex]
So, the Celsius temperature is [tex]\(10^{\circ}\)[/tex].
Therefore, when the Fahrenheit temperature is [tex]\(50^{\circ}\)[/tex], the Celsius temperature, rounded to the nearest degree, is [tex]\(10^{\circ}\)[/tex].
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
Since we want to find the Celsius temperature ([tex]\(C\)[/tex]) and we know the Fahrenheit temperature is [tex]\(50^{\circ}\)[/tex], we need to rearrange the formula to solve for [tex]\(C\)[/tex].
1. Start with the formula:
[tex]\[ 50 = \frac{9}{5}C + 32 \][/tex]
2. Subtract 32 from both sides to isolate the term [tex]\(\frac{9}{5}C\)[/tex]:
[tex]\[ 50 - 32 = \frac{9}{5}C \][/tex]
3. Simplify the left side:
[tex]\[ 18 = \frac{9}{5}C \][/tex]
4. Multiply both sides by [tex]\(\frac{5}{9}\)[/tex] to solve for [tex]\(C\)[/tex]:
[tex]\[ C = 18 \times \frac{5}{9} \][/tex]
5. Calculate the value:
[tex]\[ C = 10 \][/tex]
So, the Celsius temperature is [tex]\(10^{\circ}\)[/tex].
Therefore, when the Fahrenheit temperature is [tex]\(50^{\circ}\)[/tex], the Celsius temperature, rounded to the nearest degree, is [tex]\(10^{\circ}\)[/tex].
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