Answer :
To convert temperatures between Celsius and Fahrenheit, we use two main formulas:
1. Celsius to Fahrenheit:
[tex]\( F = C \times \frac{9}{5} + 32 \)[/tex]
2. Fahrenheit to Celsius:
[tex]\( C = (F - 32) \times \frac{5}{9} \)[/tex]
Let's use these formulas to fill in the missing values in the table:
1. Convert 10 degrees Celsius to Fahrenheit:
[tex]\[
F = 10 \times \frac{9}{5} + 32 = 50.0
\][/tex]
So, 10 degrees Celsius is 50.0 degrees Fahrenheit.
2. Convert 87 degrees Fahrenheit to Celsius:
[tex]\[
C = (87 - 32) \times \frac{5}{9} \approx 30.6
\][/tex]
Rounding to the nearest tenth, 87 degrees Fahrenheit is approximately 30.6 degrees Celsius.
3. Convert -5 degrees Celsius to Fahrenheit:
[tex]\[
F = -5 \times \frac{9}{5} + 32 = 23.0
\][/tex]
So, -5 degrees Celsius is 23.0 degrees Fahrenheit.
4. Convert 10 degrees Fahrenheit to Celsius:
[tex]\[
C = (10 - 32) \times \frac{5}{9} \approx -12.2
\][/tex]
Rounding to the nearest tenth, 10 degrees Fahrenheit is approximately -12.2 degrees Celsius.
With these calculations, the completed table is:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Degrees Celsius} & \text{Degrees Fahrenheit} \\
\hline
10 & 50.0 \\
\hline
30.6 & 87 \\
\hline
-5 & 23.0 \\
\hline
-12.2 & 10 \\
\hline
\end{array}
\][/tex]
1. Celsius to Fahrenheit:
[tex]\( F = C \times \frac{9}{5} + 32 \)[/tex]
2. Fahrenheit to Celsius:
[tex]\( C = (F - 32) \times \frac{5}{9} \)[/tex]
Let's use these formulas to fill in the missing values in the table:
1. Convert 10 degrees Celsius to Fahrenheit:
[tex]\[
F = 10 \times \frac{9}{5} + 32 = 50.0
\][/tex]
So, 10 degrees Celsius is 50.0 degrees Fahrenheit.
2. Convert 87 degrees Fahrenheit to Celsius:
[tex]\[
C = (87 - 32) \times \frac{5}{9} \approx 30.6
\][/tex]
Rounding to the nearest tenth, 87 degrees Fahrenheit is approximately 30.6 degrees Celsius.
3. Convert -5 degrees Celsius to Fahrenheit:
[tex]\[
F = -5 \times \frac{9}{5} + 32 = 23.0
\][/tex]
So, -5 degrees Celsius is 23.0 degrees Fahrenheit.
4. Convert 10 degrees Fahrenheit to Celsius:
[tex]\[
C = (10 - 32) \times \frac{5}{9} \approx -12.2
\][/tex]
Rounding to the nearest tenth, 10 degrees Fahrenheit is approximately -12.2 degrees Celsius.
With these calculations, the completed table is:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Degrees Celsius} & \text{Degrees Fahrenheit} \\
\hline
10 & 50.0 \\
\hline
30.6 & 87 \\
\hline
-5 & 23.0 \\
\hline
-12.2 & 10 \\
\hline
\end{array}
\][/tex]