High School

You can use the formula [tex]C = \frac{5}{9}(F - 32)[/tex] to convert temperature in degrees Fahrenheit, [tex]F[/tex], to temperature in degrees Celsius, [tex]C[/tex].

What is [tex]85^{\circ} F[/tex] in degrees Celsius? Round your answer to the nearest tenth.

Answer :

To convert 85 degrees Fahrenheit to degrees Celsius using the formula [tex]\( C = \frac{5}{9}(F - 32) \)[/tex], follow these steps:

1. Start with the formula:
[tex]\( C = \frac{5}{9}(F - 32) \)[/tex]

2. Plug in the Fahrenheit value:
Here, [tex]\( F = 85 \)[/tex].
Substitute this into the formula:
[tex]\( C = \frac{5}{9}(85 - 32) \)[/tex]

3. Perform the subtraction inside the parentheses:
Calculate [tex]\( 85 - 32 = 53 \)[/tex].

4. Multiply by [tex]\(\frac{5}{9}\)[/tex]:
Now, compute [tex]\( C = \frac{5}{9} \times 53 \)[/tex].

5. Calculate the multiplication and division:
First, multiply 5 by 53 to get 265.
Next, divide 265 by 9 to get approximately 29.444.

6. Round the result to the nearest tenth:
The result 29.444 rounded to the nearest tenth is 29.4.

So, 85 degrees Fahrenheit is approximately 29.4 degrees Celsius.