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Ответ:

xonyemaa12

07.04.2021

Physics

The correct answer to the question is A). $F=\ \frac{9}{5}C+32$

EXPLANATION:

The melting of ice in Fahrenheit scale is marked as 32.

Hence, LFP ( Lower fixed point) = 0

The boiling point of water in Fahrenheit scale is marked as 212.

Hence, UFP( Upper fixed point ) = 212

The melting point of ice in Celsius scale is marked as 0

Hence, LFP = 0.

The boiling point of water in Celsius scale is marked as 100.

Hence, UFP = 100.

Let the temperature of a body in Celsius scale is C .

Let the corresponding temperature in Fahrenheit scale is F.

Now the two scales are related as follows-

$\frac{F-LFP}{UFP-LFP}=\ \frac{C-LFP}{UFP-LFP}$

⇒ $\frac{F-32}{212-32}=\ \frac{C-0}{100-0}$

⇒ $\frac{F-32}{180}=\ \frac{C}{100}$

⇒ $\frac{F-32}{9}=\ \frac{C}{5}$

⇒ $F-32=\ \frac{9}{5}C$

⇒ $F=\ \frac{9}{5}C+32$ [ PROVED]

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