College

The formula to convert a temperature [tex]C[/tex] in degrees Celsius to a temperature [tex]F[/tex] in degrees Fahrenheit is [tex]1.8C + 32 = F[/tex].

Use this equation to find the Celsius equivalent of [tex]51.8^{\circ} F[/tex].

Answer :

To find the Celsius equivalent of 51.8°F, we can use the formula that converts temperature from Fahrenheit to Celsius:

[tex]\[ C = \frac{F - 32}{1.8} \][/tex]

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

Let's go through the conversion step by step:

1. Subtract 32 from the Fahrenheit temperature:
[tex]\[ 51.8 - 32 = 19.8 \][/tex]

2. Divide the result by 1.8 to get the Celsius temperature:
[tex]\[ \frac{19.8}{1.8} \approx 11 \][/tex]

So, the equivalent temperature in degrees Celsius is approximately [tex]\( 11^\circ C \)[/tex].