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3. You are using the formula [tex]\( F=\frac{9}{5}C+32 \)[/tex] to convert a temperature from degrees Celsius to degrees Fahrenheit. If the temperature is [tex]\( 69.8^{\circ} \text{F} \)[/tex], what is the temperature in Celsius?

A. [tex]\( 21^{\circ} \text{C} \)[/tex]

B. [tex]\( 156^{\circ} \text{C} \)[/tex]

C. [tex]\( 56.6^{\circ} \text{C} \)[/tex]

D. [tex]\( 88.9^{\circ} \text{C} \)[/tex]

Sagot :

GinnyAnswer
To convert a temperature from degrees Fahrenheit to degrees Celsius, we typically use the formula:

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

Here, [tex]\(F\)[/tex] is the given temperature in Fahrenheit, which is 69.8°F.

Step-by-step:

1. Subtract 32 from the given Fahrenheit temperature:

[tex]\[ 69.8 - 32 = 37.8 \][/tex]

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:

[tex]\[ \frac{5}{9} \times 37.8 \][/tex]

This simplifies to:

[tex]\[ C = \frac{5 \times 37.8}{9} = \frac{189}{9} = 21.0 \][/tex]

Therefore, the temperature 69.8°F is equivalent to 21°C.

Given this solution, the correct answer is:

[tex]\[ 21^{\circ} C \][/tex]
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