Question

convert 165.60°f to degrees celsius. round your answer to the correct number of significant figures. °c

Explanation:

Step1: Write the conversion formula

The formula to convert Fahrenheit ($F$) to Celsius ($C$) is $C=\frac{5}{9}(F - 32)$.

Step2: Substitute the given value

Substitute $F = 165.60$ into the formula: $C=\frac{5}{9}(165.60 - 32)$.
First, calculate the value inside the parentheses: $165.60-32 = 133.60$.
Then, multiply by $\frac{5}{9}$: $C=\frac{5}{9}\times133.60=\frac{668}{9}\approx74.222$.

Step3: Round to significant - figures

The number 165.60 has 5 significant figures. Rounding 74.222 to 5 significant figures gives 74.222.

Answer:

$74.222$