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A Celsius thermometer indicates a temperature of [tex]20^{\circ} C[/tex]. What's the equivalent temperature on the Fahrenheit scale?

Answer Options:
A. [tex]68^{\circ} F[/tex]
B. [tex]293^{\circ} F[/tex]
C. [tex]20^{\circ} F[/tex]
D. [tex]52^{\circ} F[/tex]

Sagot :

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

[tex]\[ F = C \times \frac{9}{5} + 32 \][/tex]

where:
- [tex]\( F \)[/tex] is the temperature in Fahrenheit
- [tex]\( C \)[/tex] is the temperature in Celsius

Given that the temperature in Celsius is [tex]\( 20^{\circ} C \)[/tex], we can substitute this value into the formula:

[tex]\[ F = 20 \times \frac{9}{5} + 32 \][/tex]

First, we perform the multiplication:

[tex]\[ 20 \times \frac{9}{5} = 20 \times 1.8 = 36 \][/tex]

Next, we add [tex]\( 32 \)[/tex] to the result:

[tex]\[ 36 + 32 = 68 \][/tex]

So, the equivalent temperature on the Fahrenheit scale is [tex]\( 68^{\circ} F \)[/tex].

Reviewing the answer options:

- [tex]\( 68^{\circ} F \)[/tex]
- [tex]\( 293^{\circ} F \)[/tex]
- [tex]\( 20^{\circ} F \)[/tex]
- [tex]\( 52^{\circ} F \)[/tex]

The correct option is [tex]\( 68^{\circ} F \)[/tex].

Thus, the equivalent temperature on the Fahrenheit scale is [tex]\( 68 \)[/tex], and the correct answer is:

[tex]\[ \boxed{68^{\circ} F} \][/tex]
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