Question

the temperature in some region of alaska equals 15°f. convert this temperature to celsius. 15°f=□°c (round to the nearest tenth of a degree as needed.)

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 value of $F$

Given $F = 15$, substitute it into the formula: $C=\frac{5}{9}(15 - 32)$.

Step3: Calculate the value inside the parentheses

First, calculate $15-32=-17$. So the formula becomes $C=\frac{5}{9}\times(-17)$.

Step4: Perform the multiplication

$\frac{5}{9}\times(-17)=\frac{-85}{9}\approx - 9.4$ (rounded to the nearest tenth).

Answer:

$-9.4$