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.

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dixiequeen4366 dixiequeen4366 · Answer 1 · 2022-10-11T13:05:13+02:00

NSWER

C. C = 5/9(F - 32); 59°F =

EXPLANATION

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

[tex]\begin{gathered} F-32=\frac{9}{5}C+32-32 \\ \\ F-32=\frac{9}{5}C \end{gathered}[/tex]

Then, multiply both sides by 5,

[tex]\begin{gathered} 5(F-32)=5\cdot\frac{9}{5}C \\ \\ 5(F-32)=9C \end{gathered}[/tex]

And divide both sides by 9,

[tex]\begin{gathered} \frac{5}{9}(F-32)=\frac{9C}{9} \\ \\ \frac{5}{9}(F-32)=C \end{gathered}[/tex]

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

So, 59°F is equal to,

[tex]C=\frac{5}{9}(59-32)=\frac{5}{9}\cdot27=15[/tex]

Hence, 59°F is equivalent to 15°C.