Question

The formula used to convert degrees Celsius to degrees Fahrenheit isF = 9/5C+32.Convert 59°F to degrees Celsius. Solve the formula for C, and then use it toconvert the temperature.

Answer 1

NSWER

C. C = 5/9(F - 32); 59°F =

Step-by-step explanation

irst, we have to solve the formula for cC. Subtract 32 from both sides,

`\begin{gathered} F-32=(9)/(5)C+32-32 \\ \\ F-32=(9)/(5)C \end{gathered}`

Then, multiply both sides by 5,

`\begin{gathered} 5(F-32)=5\cdot(9)/(5)C \\ \\ 5(F-32)=9C \end{gathered}`

And divide both sides by 9,

`\begin{gathered} (5)/(9)(F-32)=(9C)/(9) \\ \\ (5)/(9)(F-32)=C \end{gathered}`

Hence, the formula to convert from degrees Fahrenheit to degrees Celsius is C = 5/9(F - 32).

So, 59°F is equal to,

`C=(5)/(9)(59-32)=(5)/(9)\cdot27=15`

Hence, 59°F is equivalent to 15°C.