question type the correct answer in each box. if necessary, round your answers to the nearest tenth. use the…

question type the correct answer in each box. if necessary, round your answers to the nearest tenth. use the conversion formulas for celsius and fahrenheit to find the missing values in the table. temperature degrees celsius degrees fahrenheit 10 87 -5 10
Answer
Explanation:
Step1: Recall conversion formulas
The formula to convert Celsius ($C$) to Fahrenheit ($F$) is $F=\frac{9}{5}C + 32$, and to convert Fahrenheit to Celsius is $C=\frac{5}{9}(F - 32)$.
Step2: Convert 10°C to Fahrenheit
Substitute $C = 10$ into $F=\frac{9}{5}C+32$. Then $F=\frac{9}{5}\times10 + 32=18 + 32=50$.
Step3: Convert 87°F to Celsius
Substitute $F = 87$ into $C=\frac{5}{9}(F - 32)$. Then $C=\frac{5}{9}(87 - 32)=\frac{5}{9}\times55=\frac{275}{9}\approx30.6$.
Step4: Convert - 5°C to Fahrenheit
Substitute $C=-5$ into $F=\frac{9}{5}C + 32$. Then $F=\frac{9}{5}\times(-5)+32=-9 + 32 = 23$.
Step5: Convert 10°F to Celsius
Substitute $F = 10$ into $C=\frac{5}{9}(F - 32)$. Then $C=\frac{5}{9}(10 - 32)=\frac{5}{9}\times(-22)=-\frac{110}{9}\approx - 12.2$.
Answer:
| Degrees Celsius | Degrees Fahrenheit |
|---|---|
| 10 | 50 |
| 30.6 | 87 |
| -5 | 23 |
| -12.2 | 10 |