UpStudy Free Solution:

To convert \(37^ { \circ } \mathrm { C} \) to degrees Fahrenheit, use the formula:

\[F = \frac { 9} { 5} C + 32\]

Substitute \(C = 37\) into the formula:

\[F = \frac { 9} { 5} \times 37 + 32\]

First, calculate \(\frac { 9} { 5} \times 37\):

\[\frac { 9} { 5} \times 37 = 9 \times 7.4 = 66.6\]

Then, add 32:

\[66.6 + 32 = 98.6\]

So, \(37^ { \circ } \mathrm { C} = 98.6^ { \circ } \mathrm { F} \).

Supplemental Knowledge

To convert a temperature from Celsius (\(^ { \circ } \mathrm { C} \)) to Fahrenheit (\(^ { \circ } \mathrm { F} \)), you can use the following formula:

\[^ { \circ } \mathrm { F} = \left ( ^ { \circ } \mathrm { C} \times \frac { 9} { 5} \right ) + 32\]

This formula is derived from the linear relationship between the Celsius and Fahrenheit scales, where:

- Water freezes at \(0^ { \circ } \mathrm { C} \) and \(32^ { \circ } \mathrm { F} \),

- Water boils at \(100^ { \circ } \mathrm { C} \) and \(212^ { \circ } \mathrm { F} \).

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