Question

convert the following temperatures to degrees celsius or fahrenheit. be sure your answer has the correct number of significant digits. part 1 of 6 97.4 °f, the temperature on a hot summer day = °c part 2 of 6 11.3 °f, the temperature on a cold winter day = °c part 3 of 6 a 102.2 °f fever = °c part 4 of 6 a furnace operating at 1992.4 °f = °c

Explanation:

Step1: Recall conversion formula

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

Step2: Convert 97.4°F

Substitute $F = 97.4$ into the formula: $C=\frac{5}{9}(97.4 - 32)=\frac{5}{9}\times65.4\approx36.3^{\circ}C$.

Step3: Convert 11.3°F

Substitute $F = 11.3$ into the formula: $C=\frac{5}{9}(11.3 - 32)=\frac{5}{9}\times(- 20.7)=-11.5^{\circ}C$.

Step4: Convert 102.2°F

Substitute $F = 102.2$ into the formula: $C=\frac{5}{9}(102.2 - 32)=\frac{5}{9}\times70.2 = 39.0^{\circ}C$.

Step5: Convert 1992.4°F

Substitute $F = 1992.4$ into the formula: $C=\frac{5}{9}(1992.4 - 32)=\frac{5}{9}\times1960.4\approx1089.1^{\circ}C$.

Answer:

Part 1 of 6: $36.3^{\circ}C$
Part 2 of 6: $-11.5^{\circ}C$
Part 3 of 6: $39.0^{\circ}C$
Part 4 of 6: $1089.1^{\circ}C$