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Answer :
Below is a detailed, step-by-step solution for converting the given temperatures.
────────────────────────────
Step 1. Convert [tex]\( 88^\circ \)[/tex] Fahrenheit to Celsius
We use the temperature conversion formula:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
For [tex]\( F = 88 \)[/tex], substitute into the formula:
[tex]\[
C = \frac{5}{9}(88 - 32)
\][/tex]
Calculate the difference:
[tex]\[
88 - 32 = 56
\][/tex]
Now, multiply by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \times 56 = \frac{280}{9} \approx 31.11
\][/tex]
Thus, [tex]\( 88^\circ \)[/tex] Fahrenheit is approximately [tex]\( 31.11^\circ \)[/tex] Celsius.
────────────────────────────
Step 2. Convert [tex]\( 30^\circ \)[/tex] Celsius to Fahrenheit
The conversion formula from Celsius to Fahrenheit is:
[tex]\[
F = \frac{9}{5}C + 32
\][/tex]
For [tex]\( C = 30 \)[/tex], substitute into the formula:
[tex]\[
F = \frac{9}{5}(30) + 32
\][/tex]
First, compute [tex]\(\frac{9}{5} \times 30\)[/tex]:
[tex]\[
\frac{9}{5} \times 30 = 54
\][/tex]
Then, add 32:
[tex]\[
F = 54 + 32 = 86
\][/tex]
Thus, [tex]\( 30^\circ \)[/tex] Celsius is [tex]\( 86^\circ \)[/tex] Fahrenheit.
────────────────────────────
Step 3. Convert [tex]\( -40^\circ \)[/tex] Fahrenheit to Celsius
Again, we use the formula:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
For [tex]\( F = -40 \)[/tex], substitute into the formula:
[tex]\[
C = \frac{5}{9}(-40 - 32)
\][/tex]
Calculate the difference:
[tex]\[
-40 - 32 = -72
\][/tex]
Now, multiply by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \times (-72) = -40
\][/tex]
Thus, [tex]\( -40^\circ \)[/tex] Fahrenheit is exactly [tex]\( -40^\circ \)[/tex] Celsius.
────────────────────────────
Final Answers:
1. [tex]\( 88^\circ \)[/tex] Fahrenheit is approximately [tex]\( 31.11^\circ \)[/tex] Celsius.
2. [tex]\( 30^\circ \)[/tex] Celsius is [tex]\( 86^\circ \)[/tex] Fahrenheit.
3. [tex]\( -40^\circ \)[/tex] Fahrenheit is [tex]\( -40^\circ \)[/tex] Celsius.
────────────────────────────
Step 1. Convert [tex]\( 88^\circ \)[/tex] Fahrenheit to Celsius
We use the temperature conversion formula:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
For [tex]\( F = 88 \)[/tex], substitute into the formula:
[tex]\[
C = \frac{5}{9}(88 - 32)
\][/tex]
Calculate the difference:
[tex]\[
88 - 32 = 56
\][/tex]
Now, multiply by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \times 56 = \frac{280}{9} \approx 31.11
\][/tex]
Thus, [tex]\( 88^\circ \)[/tex] Fahrenheit is approximately [tex]\( 31.11^\circ \)[/tex] Celsius.
────────────────────────────
Step 2. Convert [tex]\( 30^\circ \)[/tex] Celsius to Fahrenheit
The conversion formula from Celsius to Fahrenheit is:
[tex]\[
F = \frac{9}{5}C + 32
\][/tex]
For [tex]\( C = 30 \)[/tex], substitute into the formula:
[tex]\[
F = \frac{9}{5}(30) + 32
\][/tex]
First, compute [tex]\(\frac{9}{5} \times 30\)[/tex]:
[tex]\[
\frac{9}{5} \times 30 = 54
\][/tex]
Then, add 32:
[tex]\[
F = 54 + 32 = 86
\][/tex]
Thus, [tex]\( 30^\circ \)[/tex] Celsius is [tex]\( 86^\circ \)[/tex] Fahrenheit.
────────────────────────────
Step 3. Convert [tex]\( -40^\circ \)[/tex] Fahrenheit to Celsius
Again, we use the formula:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
For [tex]\( F = -40 \)[/tex], substitute into the formula:
[tex]\[
C = \frac{5}{9}(-40 - 32)
\][/tex]
Calculate the difference:
[tex]\[
-40 - 32 = -72
\][/tex]
Now, multiply by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \times (-72) = -40
\][/tex]
Thus, [tex]\( -40^\circ \)[/tex] Fahrenheit is exactly [tex]\( -40^\circ \)[/tex] Celsius.
────────────────────────────
Final Answers:
1. [tex]\( 88^\circ \)[/tex] Fahrenheit is approximately [tex]\( 31.11^\circ \)[/tex] Celsius.
2. [tex]\( 30^\circ \)[/tex] Celsius is [tex]\( 86^\circ \)[/tex] Fahrenheit.
3. [tex]\( -40^\circ \)[/tex] Fahrenheit is [tex]\( -40^\circ \)[/tex] Celsius.
Thank you for reading the article Use the appropriate temperature formula to convert each temperature 1 Convert tex 88 circ tex Fahrenheit to Celsius 2 Convert tex 30 circ tex Celsius. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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