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Answer :
Final answer:
The formula to convert Fahrenheit to Celsius is °C = 5/9 (°F - 32), and to convert Celsius to Fahrenheit, the formula is °F = (1.8 x °C) + 32. For example, 50 degrees Celsius equals 122 degrees Fahrenheit. These conversions are necessary due to the differing base points and ranges of the Fahrenheit, Celsius, and Kelvin temperature scales.
Explanation:
The subject of the question pertains to the mathematical conversion between temperature scales, specifically Fahrenheit and Celsius. The formula to convert temperatures from Fahrenheit to Celsius is °C = 5/9 (°F - 32). Conversely, to convert Celsius to Fahrenheit, we use the formula °F = (1.8 x °C) + 32.
For example, if we want to convert a temperature of 50 degrees Celsius to Fahrenheit, we replace '°C' with 50 in the second formula. We get: °F = (1.8 x 50) + 32 = 122, therefore, 50 degrees Celsius equals 122 degrees Fahrenheit.
The Fahrenheit scale is most commonly used in the United States, while the rest of the world predominantly uses the Celsius scale. In scientific and mathematical contexts, the Kelvin scale is notably used. Each scale has different base points and ranges, which is why formulas are used to convert between them.
Learn more about Temperature Conversion here:
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To solve this problem you must apply the proccedure shown below:
1. You have the following formula given in the problem above: [tex]C=(5/9)(F-32)[/tex]
2. Then, to convert [tex]50[/tex] Degrees Celsius to Fahrenheit, you must solve for [tex]F[/tex], as following:
[tex]C=(5/9)(F-32) \\ 9C/5=F-32 \\ F=(9C/5)+32[/tex]
3. When you susbtitute the value of [tex]C
[/tex] into the formula, you obtain:
[tex]F=[(9)(50)/5]+32 \\ F=122 [/tex]
The answer is:[tex]122[/tex]
1. You have the following formula given in the problem above: [tex]C=(5/9)(F-32)[/tex]
2. Then, to convert [tex]50[/tex] Degrees Celsius to Fahrenheit, you must solve for [tex]F[/tex], as following:
[tex]C=(5/9)(F-32) \\ 9C/5=F-32 \\ F=(9C/5)+32[/tex]
3. When you susbtitute the value of [tex]C
[/tex] into the formula, you obtain:
[tex]F=[(9)(50)/5]+32 \\ F=122 [/tex]
The answer is:[tex]122[/tex]
