Convert the following degree Fahrenheit temperature to degree Celsius.

1.	Convert the following degree Fahrenheit temperature to degree Celsius.i. 50°F ii. 10°F
Answer» Given : Temperature in degree Fahrenheit = 50°F To find : Temperature in degree Celsius Formula : °F = \(\frac{9}{5}\)(°C) + 32 Calculation : Substituting 50°F in the formula, °F = \(\frac{9}{5}\)(°C) + 32 50 = \(\frac{9}{5}\)(°C) + 32 °C = \(\frac{(50-32)\times 5}{9}\) = 10°C ii. Given : Temperature in degree Fahrenheit = 10°F To find : Temperature in degree Celsius Formula : °F = \(\frac{9}{5}\)(°C) + 32 Calculation : Substituting 10°F in the formula, °F = \(\frac{9}{5}\)(°C) + 32 10 = \(\frac{9}{5}\)(°C) + 32 °C = \(\frac{(10-32)\times 5}{9}\) = -12.2°C ∴ i. The temperature 50°F corresponds to 10°C. ii. The temperature 10°F corresponds to -12.2°C.

Convert the following degree Fahrenheit temperature to degree Celsius.i. 50°F ii. 10°F

Answer»

Given :

Temperature in degree Fahrenheit = 50°F

To find :

Temperature in degree Celsius

Formula :

°F = \(\frac{9}{5}\)(°C) + 32

Calculation :

Substituting 50°F in the formula,

°F = \(\frac{9}{5}\)(°C) + 32

50 = \(\frac{9}{5}\)(°C) + 32

°C = \(\frac{(50-32)\times 5}{9}\)

= 10°C

ii. Given :

Temperature in degree Fahrenheit = 10°F

To find :

Temperature in degree Celsius

Formula :

°F = \(\frac{9}{5}\)(°C) + 32

Calculation :

Substituting 10°F in the formula,

°F = \(\frac{9}{5}\)(°C) + 32

10 = \(\frac{9}{5}\)(°C) + 32

°C = \(\frac{(10-32)\times 5}{9}\)

= -12.2°C

∴ i. The temperature 50°F corresponds to 10°C.

ii. The temperature 10°F corresponds to -12.2°C.