Thank you for visiting Convert the temperature from degrees Fahrenheit to degrees Celsius using the function tex C F frac 5 9 F 32 tex What does tex C. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Certainly! Let's break down the problem step-by-step.
First, let's identify and correct the provided function [tex]\( C(F) = \frac{3}{3} p - 120 \)[/tex].
It seems like there are some typos or errors. Let's assume the correct function for converting Fahrenheit to Celsius is [tex]\( C(F) = (F - 32) \times \frac{5}{9} \)[/tex].
Let's work with this standard conversion formula:
[tex]\[ C = (F - 32) \times \frac{5}{9} \][/tex]
Given:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- We are given [tex]\( F = 100 \)[/tex] degrees Fahrenheit.
To convert 100 degrees Fahrenheit to Celsius:
[tex]\[ C = (100 - 32) \times \frac{5}{9} \][/tex]
Step-by-step solution:
1. Subtract 32 from 100:
[tex]\[ 100 - 32 = 68 \][/tex]
2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ 68 \times \frac{5}{9} \approx 37.77777777777778 \][/tex]
So, 100 degrees Fahrenheit is approximately [tex]\( 37.77777777777778 \)[/tex] degrees Celsius.
Next, for verifying purposes, let's convert [tex]\( 37.77777777777778 \)[/tex] degrees Celsius back to Fahrenheit using the formula:
[tex]\[ F = (C \times \frac{9}{5}) + 32 \][/tex]
Given:
- [tex]\( C = 37.77777777777778 \)[/tex] degrees Celsius.
Step-by-step solution:
1. Multiply [tex]\( 37.77777777777778 \)[/tex] by [tex]\(\frac{9}{5}\)[/tex]:
[tex]\[ 37.77777777777778 \times \frac{9}{5} = 68 \times 1.8 = 100 \][/tex]
2. Add 32:
[tex]\[ 100 + 32 = 100 \][/tex]
So, [tex]\( 37.77777777777778 \)[/tex] degrees Celsius is [tex]\( 100 \)[/tex] degrees Fahrenheit.
Summarizing, the conversions are:
[tex]\[ \text{100°F is approximately 37.77777777777778°C} \][/tex]
[tex]\[ \text{37.77777777777778°C is exactly 100°F} \][/tex]
Thus, the answer is:
- The temperature of 100 degrees Fahrenheit converted to Celsius is approximately [tex]\( 37.77777777777778 \)[/tex] degrees Celsius.
- The temperature of [tex]\( 37.77777777777778 \)[/tex] degrees Celsius converted to Fahrenheit is exactly [tex]\(100 \)[/tex] degrees Fahrenheit.
First, let's identify and correct the provided function [tex]\( C(F) = \frac{3}{3} p - 120 \)[/tex].
It seems like there are some typos or errors. Let's assume the correct function for converting Fahrenheit to Celsius is [tex]\( C(F) = (F - 32) \times \frac{5}{9} \)[/tex].
Let's work with this standard conversion formula:
[tex]\[ C = (F - 32) \times \frac{5}{9} \][/tex]
Given:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- We are given [tex]\( F = 100 \)[/tex] degrees Fahrenheit.
To convert 100 degrees Fahrenheit to Celsius:
[tex]\[ C = (100 - 32) \times \frac{5}{9} \][/tex]
Step-by-step solution:
1. Subtract 32 from 100:
[tex]\[ 100 - 32 = 68 \][/tex]
2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ 68 \times \frac{5}{9} \approx 37.77777777777778 \][/tex]
So, 100 degrees Fahrenheit is approximately [tex]\( 37.77777777777778 \)[/tex] degrees Celsius.
Next, for verifying purposes, let's convert [tex]\( 37.77777777777778 \)[/tex] degrees Celsius back to Fahrenheit using the formula:
[tex]\[ F = (C \times \frac{9}{5}) + 32 \][/tex]
Given:
- [tex]\( C = 37.77777777777778 \)[/tex] degrees Celsius.
Step-by-step solution:
1. Multiply [tex]\( 37.77777777777778 \)[/tex] by [tex]\(\frac{9}{5}\)[/tex]:
[tex]\[ 37.77777777777778 \times \frac{9}{5} = 68 \times 1.8 = 100 \][/tex]
2. Add 32:
[tex]\[ 100 + 32 = 100 \][/tex]
So, [tex]\( 37.77777777777778 \)[/tex] degrees Celsius is [tex]\( 100 \)[/tex] degrees Fahrenheit.
Summarizing, the conversions are:
[tex]\[ \text{100°F is approximately 37.77777777777778°C} \][/tex]
[tex]\[ \text{37.77777777777778°C is exactly 100°F} \][/tex]
Thus, the answer is:
- The temperature of 100 degrees Fahrenheit converted to Celsius is approximately [tex]\( 37.77777777777778 \)[/tex] degrees Celsius.
- The temperature of [tex]\( 37.77777777777778 \)[/tex] degrees Celsius converted to Fahrenheit is exactly [tex]\(100 \)[/tex] degrees Fahrenheit.
Thank you for reading the article Convert the temperature from degrees Fahrenheit to degrees Celsius using the function tex C F frac 5 9 F 32 tex What does tex C. 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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