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(A)suppose a cold front blows into your locale and drops the temperature by 40.0

ID: 1406319 • Letter: #

Question

(A)suppose a cold front blows into your locale and drops the temperature by 40.0 Degrees F . How many degrees Celsius does the temperature decrease when there is a 40.0 degrees F decrease in temperature? (B) show that any Change in temperature in F degrees is nine-fifths the change in Celsius degrees. (A)suppose a cold front blows into your locale and drops the temperature by 40.0 Degrees F . How many degrees Celsius does the temperature decrease when there is a 40.0 degrees F decrease in temperature? (B) show that any Change in temperature in F degrees is nine-fifths the change in Celsius degrees.

Explanation / Answer


the relation between F and C

F-32/180 = C-0/100

F-32/180 = C/100

F - 32 = 9C/5

differentiate the above


dF = (9/5)*dC

part(a)

given dF = 40

dC = dF*(5/9)


dC = 40*5/9

dC = 22.22

part(B)

after differentiating

dF = dC*(9/5)


change in F degres = nin - fifths change in celsius degrees