Question

a high fever for an adult is 102. °f.
convert this temperature to degrees celsius. round your answer to 2 significant digits.
\boxed{} ^\circ c

Explanation:

Step1: Recall the formula for converting Fahrenheit to Celsius.

The formula to convert temperature from Fahrenheit (\(^{\circ}\text{F}\)) to Celsius (\(^{\circ}\text{C}\)) is \(^{\circ}\text{C}=\frac{5}{9}(^{\circ}\text{F} - 32)\).

Step2: Substitute the given Fahrenheit temperature into the formula.

We are given \(^{\circ}\text{F} = 102\). Substitute this value into the formula:
\(^{\circ}\text{C}=\frac{5}{9}(102 - 32)\)

Step3: Simplify the expression inside the parentheses first.

\(102-32 = 70\), so the expression becomes \(^{\circ}\text{C}=\frac{5}{9}\times70\)

Step4: Calculate the value of \(\frac{5}{9}\times70\).

\(\frac{5\times70}{9}=\frac{350}{9}\approx38.888\cdots\)

Step5: Round the answer to 2 significant digits.

Rounding \(38.888\cdots\) to 2 significant digits gives \(39\) (since the first two significant digits are 3 and 8, and the next digit is 8 which is greater than 5, so we round up the 8 to 9).

Answer:

\(39\)