Question

to raise money for charity, bill and some friends are hiking across the continent of asia. while out on the trail one day, one of his jordan friends asks bill for the temperature. he glances at his precision sports watch and sees that the temperature is - 12.9 °f. what is this temperature in degrees celsius (°c)? use the given formulas as necessary, and round your answer to the nearest tenth of a degree. formulas: c = 5/9(f - 32), f = 9/5c + 32

Explanation:

Step1: Identify the formula

We use the formula $C=\frac{5}{9}(F - 32)$ to convert Fahrenheit to Celsius. Here $F=-12.9$.

Step2: Substitute the value of F

Substitute $F = - 12.9$ into the formula: $C=\frac{5}{9}(-12.9 - 32)$.
First, calculate the value inside the parentheses: $-12.9-32=-44.9$.
Then, $C=\frac{5}{9}\times(-44.9)$.
$C=\frac{-224.5}{9}\approx - 24.944$.

Step3: Round the result

Round $-24.944$ to the nearest tenth. Since the hundred - th digit is 4, we get $C\approx - 24.9$.

Answer:

$-24.9$