Question

0 The normal body temperature is 98.4 F. What
is this temperature on Celsius scale?
(Ans: 36.88°C)
1) At what temperature do the Fahrenheit and
Celsius scales coincide. Ans - 40°.​

Answer 1

Answer:

1 : 36.88° C

2 : Fahrenheit and Celsius scale coincide at - 40°.

Explanation:

We know,

Relation between Fahrenheit & Celsius :

°F = $\dfrac{9}{5}$( °C ) + 32°

Here,

Normal body temperature is 98.4° F.

= > 98.4° = $\dfrac{9}{5}$( °C ) + 32°

= > 98.4° - 32° = $\dfrac{9}{5}$( °C )

= > 66.4° = $\dfrac{9}{5}$( °C )

= > 66.4° x 5 / 9 = °C

= > 36.88° = °C

Hence the normal body temperature on Celsius scale is 36.88°C.

2 : If they coincide : °F = °C

So,

= > °F = ( 9 / 5 ) ( °C ) + 32

= > °C = ( 9 / 5 ) ( °C ) + 32 { °F = °C }

= > °C - 32 = 9°C / 5

= > 5( °C - 32 ) = 9°C

= > 5°C - 160 = 9°C

= > - 160° = 9°C - 5°C

= > - 160° = 4°C

= > - 40° =°C { Or °F }

Hence Fahrenheit and Celsius scale coincide at - 40°.