Question

convert the following temperatures from fahrenheit to celsius or vice versa. c = (f - 32)/1.8, f = 1.8c + 32 a. 55°f b. 60°c c. -20°c a. 55°f = °c (type an integer or decimal rounded to one decimal place as needed.)

Explanation:

Step1: Convert 55°F to Celsius

Use the formula $C=\frac{F - 32}{1.8}$. Substitute $F = 55$ into the formula: $C=\frac{55 - 32}{1.8}$.

Step2: Calculate the numerator

$55-32 = 23$. So the expression becomes $C=\frac{23}{1.8}$.

Step3: Calculate the value of C

$C=\frac{23}{1.8}\approx12.8$.

Step4: Convert 60°C to Fahrenheit

Use the formula $F = 1.8C+32$. Substitute $C = 60$ into the formula: $F=1.8\times60 + 32$.

Step5: Calculate $1.8\times60$

$1.8\times60=108$. So $F = 108+32$.

Step6: Calculate the value of F

$F=108 + 32=140$.

Step7: Convert - 20°C to Fahrenheit

Use the formula $F = 1.8C+32$. Substitute $C=-20$ into the formula: $F=1.8\times(-20)+32$.

Step8: Calculate $1.8\times(-20)$

$1.8\times(-20)=-36$. So $F=-36 + 32$.

Step9: Calculate the value of F

$F=-36+32=-4$.

Answer:

a. $12.8$
b. $140^{\circ}F$
c. $-4^{\circ}F$