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Write 212^(@) F and in Celsius scale ....

Write `212^(@)` F and in Celsius scale .

A

`424^(@)C`

B

`106^(@)C`

C

`112^(@)C`

D

`100^(@)C`

Text Solution

AI Generated Solution

The correct Answer is:
To convert 212 degrees Fahrenheit (°F) to Celsius (°C), we can use the formula: \[ C = \frac{5}{9} (F - 32) \] where \(C\) is the temperature in Celsius and \(F\) is the temperature in Fahrenheit. ### Step-by-Step Solution: 1. **Identify the given value**: We have \(F = 212\) degrees Fahrenheit. 2. **Substitute the value into the formula**: \[ C = \frac{5}{9} (212 - 32) \] 3. **Calculate \(212 - 32\)**: \[ 212 - 32 = 180 \] 4. **Substitute back into the formula**: \[ C = \frac{5}{9} \times 180 \] 5. **Calculate \(\frac{5}{9} \times 180\)**: \[ C = \frac{5 \times 180}{9} \] 6. **Simplify \(\frac{180}{9}\)**: \[ 180 \div 9 = 20 \] 7. **Multiply by 5**: \[ C = 5 \times 20 = 100 \] 8. **Final result**: \[ C = 100 \text{ degrees Celsius} \] ### Conclusion: The temperature of 212 degrees Fahrenheit is equivalent to 100 degrees Celsius.
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