We appreciate your visit to During his science experiment Yuri measured the temperature of a water sample as 24 degrees Celsius To determine the temperature in degrees Fahrenheit he used. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure! To convert the temperature from degrees Celsius to degrees Fahrenheit, you can follow these steps using the formula [tex]\( F = \frac{9}{5} C + 32 \)[/tex].
1. Identify the given temperature in Celsius:
Yuri measured the temperature as 24 degrees Celsius, so [tex]\( C = 24 \)[/tex].
2. Substitute the Celsius value into the formula:
The formula for conversion is [tex]\( F = \frac{9}{5} C + 32 \)[/tex]. Substitute 24 for [tex]\( C \)[/tex]:
[tex]\( F = \frac{9}{5} \times 24 + 32 \)[/tex].
3. Multiply the value of [tex]\( C \)[/tex] by [tex]\(\frac{9}{5}\)[/tex]:
Calculate [tex]\(\frac{9}{5} \times 24\)[/tex]:
[tex]\[ \frac{9}{5} \times 24 = 43.2 \][/tex]
4. Add 32 to the result:
Now, add 32 to 43.2 to get the Fahrenheit temperature:
[tex]\[ F = 43.2 + 32 = 75.2 \][/tex]
5. Conclusion:
The temperature of 24 degrees Celsius is equivalent to 75.2 degrees Fahrenheit.
Based on these steps, the correct options for converting Celsius to Fahrenheit in the original problem are:
- Substitute 24 for [tex]\( C \)[/tex].
- Multiply the value of [tex]\( C \)[/tex] by [tex]\(\frac{9}{5}\)[/tex] before adding 32.
Optionally checking the statements for correctness:
- [tex]\(24^{\circ} C\)[/tex] is [tex]\(75.2^{\circ} F\)[/tex]. This statement is correct.
Checking all these steps confirms the accurate conversion of [tex]\(24^{\circ} C\)[/tex] to [tex]\(75.2^{\circ} F\)[/tex].
1. Identify the given temperature in Celsius:
Yuri measured the temperature as 24 degrees Celsius, so [tex]\( C = 24 \)[/tex].
2. Substitute the Celsius value into the formula:
The formula for conversion is [tex]\( F = \frac{9}{5} C + 32 \)[/tex]. Substitute 24 for [tex]\( C \)[/tex]:
[tex]\( F = \frac{9}{5} \times 24 + 32 \)[/tex].
3. Multiply the value of [tex]\( C \)[/tex] by [tex]\(\frac{9}{5}\)[/tex]:
Calculate [tex]\(\frac{9}{5} \times 24\)[/tex]:
[tex]\[ \frac{9}{5} \times 24 = 43.2 \][/tex]
4. Add 32 to the result:
Now, add 32 to 43.2 to get the Fahrenheit temperature:
[tex]\[ F = 43.2 + 32 = 75.2 \][/tex]
5. Conclusion:
The temperature of 24 degrees Celsius is equivalent to 75.2 degrees Fahrenheit.
Based on these steps, the correct options for converting Celsius to Fahrenheit in the original problem are:
- Substitute 24 for [tex]\( C \)[/tex].
- Multiply the value of [tex]\( C \)[/tex] by [tex]\(\frac{9}{5}\)[/tex] before adding 32.
Optionally checking the statements for correctness:
- [tex]\(24^{\circ} C\)[/tex] is [tex]\(75.2^{\circ} F\)[/tex]. This statement is correct.
Checking all these steps confirms the accurate conversion of [tex]\(24^{\circ} C\)[/tex] to [tex]\(75.2^{\circ} F\)[/tex].
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