We appreciate your visit to Temperature can be measured in two different common units degrees Celsius and degrees Fahrenheit tex f tex represents the temperature in degrees Fahrenheit as a. 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, let's solve this step-by-step:
1. We are given the temperature conversion formula:
[tex]\[
f = 32 + 1.8c
\][/tex]
where [tex]\( f \)[/tex] is the temperature in degrees Fahrenheit and [tex]\( c \)[/tex] is the temperature in degrees Celsius.
2. We want to find out the temperature increase in degrees Fahrenheit that corresponds to an increase of 10 degrees Celsius.
3. Notice that we are interested in the change (increase) in temperature. So, we only need to consider the [tex]\(1.8c\)[/tex] part of the formula because the additional 32 degrees in the conversion formula represents the baseline shift in the temperature, not the rate of change.
4. If the temperature in degrees Celsius increases by [tex]\( \Delta c = 10 \)[/tex] degrees:
[tex]\[
\Delta f = 1.8 \times \Delta c
\][/tex]
5. Substitute [tex]\( \Delta c = 10 \)[/tex]:
[tex]\[
\Delta f = 1.8 \times 10 = 18
\][/tex]
Therefore, a temperature increase of 10 degrees Celsius is equivalent to an increase of 18 degrees Fahrenheit.
1. We are given the temperature conversion formula:
[tex]\[
f = 32 + 1.8c
\][/tex]
where [tex]\( f \)[/tex] is the temperature in degrees Fahrenheit and [tex]\( c \)[/tex] is the temperature in degrees Celsius.
2. We want to find out the temperature increase in degrees Fahrenheit that corresponds to an increase of 10 degrees Celsius.
3. Notice that we are interested in the change (increase) in temperature. So, we only need to consider the [tex]\(1.8c\)[/tex] part of the formula because the additional 32 degrees in the conversion formula represents the baseline shift in the temperature, not the rate of change.
4. If the temperature in degrees Celsius increases by [tex]\( \Delta c = 10 \)[/tex] degrees:
[tex]\[
\Delta f = 1.8 \times \Delta c
\][/tex]
5. Substitute [tex]\( \Delta c = 10 \)[/tex]:
[tex]\[
\Delta f = 1.8 \times 10 = 18
\][/tex]
Therefore, a temperature increase of 10 degrees Celsius is equivalent to an increase of 18 degrees Fahrenheit.
Thanks for taking the time to read Temperature can be measured in two different common units degrees Celsius and degrees Fahrenheit tex f tex represents the temperature in degrees Fahrenheit as a. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
