College

Convert [tex]$199.8^{\circ} F$[/tex] to degrees Celsius.

[tex]$199.8^{\circ} F =$[/tex] [tex]$\square$[/tex] [tex]^{\circ} C[/tex]

Answer :

To convert a temperature from degrees Fahrenheit to degrees Celsius, you can use the formula:

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

where [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit, and [tex]\( C \)[/tex] is the temperature in degrees Celsius.

Let's convert [tex]\( 199.8^{\circ} F \)[/tex] to degrees Celsius using this formula:

1. Subtract 32 from the Fahrenheit temperature:

[tex]\[ 199.8 - 32 = 167.8 \][/tex]

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:

[tex]\[ \frac{5}{9} \times 167.8 \][/tex]

[tex]\[ \approx 93.22 \][/tex]

So, [tex]\( 199.8^{\circ} F \)[/tex] is approximately [tex]\( 93.22^{\circ} C \)[/tex].