Question

The temperature in degrees Celsius can be determined using the expression 5 9 (F – 32) where F is the temperature in degrees Fahrenheit (°F). Use the given expression to determine the temperature in degrees Celsius when F = 86°

Answer 1

The temperature on Celsius scale for 86 ºF is 30 ºC.

Explanation:

Both degrees Celsius and Fahrenheit are relative scales of temperature. The relationship between degrees Fahrenheit and degrees Celsius is summarized by the equation below:

`T_(C) = (5)/(9)\cdot (T_(F)-32)` (1)

Where:

`T_(F)` - Temperature, measured in degrees Fahrenheit.

`T_(C)` - Temperature, measured in degrees Celsius.

If we know that
`T_(F) = 86\,^(\circ)F`, then its equivalent temperature on Celsius scale is:

`T_(C) = (5)/(9)\cdot (86-32)`

`T_(C) = 30\,^(\circ)C`

The temperature on Celsius scale for 86 ºF is 30 ºC.