Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

On a trip to Canada, you may wish to convert the local temperature from Celsius to Fahrenheit. Given the formula, determine the temperature in degrees Fahrenheit (F) if it is 15°C.

[tex]\[ C = \frac{5}{9} (F - 32) \][/tex]

The Fahrenheit temperature is _____ degrees.

Sagot :

GinnyAnswer
To convert the temperature from Celsius to Fahrenheit, we start with the given formula:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]

We are given [tex]\( C = 15 \)[/tex] degrees Celsius and need to find the corresponding Fahrenheit temperature [tex]\( F \)[/tex].

1. Rearrange the formula to solve for [tex]\( F \)[/tex]:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
Multiply both sides by 9 to eliminate the fraction:
[tex]\[ 9C = 5(F - 32) \][/tex]

2. Isolate [tex]\( F \)[/tex]:
First, divide both sides by 5:
[tex]\[ \frac{9C}{5} = F - 32 \][/tex]
Then, add 32 to both sides to solve for [tex]\( F \)[/tex]:
[tex]\[ F = \frac{9C}{5} + 32 \][/tex]

3. Substitute the given value of [tex]\( C \)[/tex] (15 degrees Celsius):
[tex]\[ F = \frac{9 \times 15}{5} + 32 \][/tex]

4. Calculate the value:
[tex]\[ F = \frac{135}{5} + 32 \][/tex]
[tex]\[ F = 27 + 32 \][/tex]
[tex]\[ F = 59 \][/tex]

Therefore, the temperature in degrees Fahrenheit is [tex]\( 59 \)[/tex] degrees.
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.