Convert the temperature as indicated. Use [tex]C = \frac{5}{9}(F - 32)[/tex] or [tex]F = \frac{9}{5}C + 32[/tex], where [tex]F[/tex] is the degrees in Fahrenheit and [tex]C[/tex] is the degrees in Celsius.

[tex]0^{\circ} F = \square^{\circ} C[/tex]

(Type an integer or decimal rounded to the nearest tenth as needed)



Answer :

Sure, let's convert the given temperature from Fahrenheit to Celsius using the provided formula for the conversion:

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

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

Given that [tex]\( F = 11 \)[/tex], we can plug this value into the formula:

1. Subtract 32 from the Fahrenheit temperature:
[tex]\[ F - 32 = 11 - 32 = -21 \][/tex]

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times (-21) \][/tex]

3. Perform the multiplication:
[tex]\[ C = \frac{5}{9} \times (-21) = -\frac{105}{9} \approx -11.666666666666668 \][/tex]

So, the temperature in Celsius before rounding is approximately:
[tex]\[ C \approx -11.666666666666668 \][/tex]

4. Round to the nearest tenth:
[tex]\[ C \approx -11.7 \][/tex]

Therefore, [tex]\( 11^{\circ} F \)[/tex] converts to [tex]\(\boxed{-11.7^{\circ} C}\)[/tex] when rounded to the nearest tenth.