angelineluv1
Answered

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Is it ever the case that the temperature in degrees Fahrenheit is the same as the
temperature in degrees Celsius? If so, find the temperature.

Sagot :

sqdancefan

9514 1404 393

Answer:

  yes. -40°C = -40°F

Step-by-step explanation:

The relationship between the two temperature scales is ...

  C = 5/9(F -32)

If we set the numerical values equal, we have ...

  F = C

  F = 5/9(F -32) . . . . .substitute for C

  9F = 5(F -32) . . . . . multiply by 9

  4F = -160 . . . . . . . . eliminate parentheses, subtract 5F

  F = -40

The two temperature scales have the same value at -40°.

_____

That's the bottom mark on the thermometer scales attached. (Unfortunately, those scales seem to be slightly misaligned. 0°C doesn't line up exactly with 32°F, either. Oops.)

View image sqdancefan
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