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Answer :
Sure, I can help with that! Let's convert each temperature step-by-step using the given formula [tex]\( C = \frac{5}{9}(F - 32) \)[/tex] for converting Fahrenheit to Celsius.
### Part a: Convert [tex]\( 81^\circ F \)[/tex] to Celsius
1. Start with the given temperature in Fahrenheit:
[tex]\[ F = 81 \][/tex]
2. Subtract 32 from the temperature in Fahrenheit:
[tex]\[ 81 - 32 = 49 \][/tex]
3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times 49 \approx 27.2 \][/tex]
So, [tex]\( 81^\circ F \approx 27.2^\circ C \)[/tex].
### Part b: Convert [tex]\( -60^\circ F \)[/tex] to Celsius
1. Start with the given temperature in Fahrenheit:
[tex]\[ F = -60 \][/tex]
2. Subtract 32 from the temperature in Fahrenheit:
[tex]\[ -60 - 32 = -92 \][/tex]
3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times (-92) \approx -51.1 \][/tex]
So, [tex]\( -60^\circ F \approx -51.1^\circ C \)[/tex].
### Part c: Convert [tex]\( 35^\circ C \)[/tex] to Fahrenheit
To convert from Celsius to Fahrenheit, we use the formula [tex]\( F = \left( \frac{9}{5} C \right) + 32 \)[/tex].
1. Start with the given temperature in Celsius:
[tex]\[ C = 35 \][/tex]
2. Multiply the temperature in Celsius by [tex]\(\frac{9}{5}\)[/tex]:
[tex]\[ \frac{9}{5} \times 35 = 63 \][/tex]
3. Add 32 to the result:
[tex]\[ 63 + 32 = 95 \][/tex]
So, [tex]\( 35^\circ C = 95^\circ F \)[/tex].
### Summary
- [tex]\( 81^\circ F \approx 27.2^\circ C \)[/tex]
- [tex]\( -60^\circ F \approx -51.1^\circ C \)[/tex]
- [tex]\( 35^\circ C = 95.0^\circ F \)[/tex]
### Part a: Convert [tex]\( 81^\circ F \)[/tex] to Celsius
1. Start with the given temperature in Fahrenheit:
[tex]\[ F = 81 \][/tex]
2. Subtract 32 from the temperature in Fahrenheit:
[tex]\[ 81 - 32 = 49 \][/tex]
3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times 49 \approx 27.2 \][/tex]
So, [tex]\( 81^\circ F \approx 27.2^\circ C \)[/tex].
### Part b: Convert [tex]\( -60^\circ F \)[/tex] to Celsius
1. Start with the given temperature in Fahrenheit:
[tex]\[ F = -60 \][/tex]
2. Subtract 32 from the temperature in Fahrenheit:
[tex]\[ -60 - 32 = -92 \][/tex]
3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times (-92) \approx -51.1 \][/tex]
So, [tex]\( -60^\circ F \approx -51.1^\circ C \)[/tex].
### Part c: Convert [tex]\( 35^\circ C \)[/tex] to Fahrenheit
To convert from Celsius to Fahrenheit, we use the formula [tex]\( F = \left( \frac{9}{5} C \right) + 32 \)[/tex].
1. Start with the given temperature in Celsius:
[tex]\[ C = 35 \][/tex]
2. Multiply the temperature in Celsius by [tex]\(\frac{9}{5}\)[/tex]:
[tex]\[ \frac{9}{5} \times 35 = 63 \][/tex]
3. Add 32 to the result:
[tex]\[ 63 + 32 = 95 \][/tex]
So, [tex]\( 35^\circ C = 95^\circ F \)[/tex].
### Summary
- [tex]\( 81^\circ F \approx 27.2^\circ C \)[/tex]
- [tex]\( -60^\circ F \approx -51.1^\circ C \)[/tex]
- [tex]\( 35^\circ C = 95.0^\circ F \)[/tex]
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