College

The expression [tex]\left( F - 32 \right) \frac{5}{9}[/tex] gives the temperature in degrees Celsius ([tex]^{\circ}C[/tex]) for a given temperature [tex]F[/tex] in degrees Fahrenheit ([tex]^{\circ}F[/tex]).

A. Find the temperature in degrees Celsius that is equivalent to [tex]77^{\circ}F[/tex].

Answer :

To find the temperature in degrees Celsius that is equivalent to [tex]\(77^\circ F\)[/tex], you can use the formula:

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

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

Here's a step-by-step solution:

1. Start with the given Fahrenheit temperature [tex]\(F = 77^\circ F\)[/tex].
2. Subtract 32 from the Fahrenheit temperature:
[tex]\[
F - 32 = 77 - 32 = 45
\][/tex]
3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = 45 \times \frac{5}{9}
\][/tex]
[tex]\[
C = 25
\][/tex]

So, the temperature equivalent to [tex]\(77^\circ F\)[/tex] in degrees Celsius is [tex]\(25^\circ C\)[/tex].