Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

convert -51.7°c to degrees fahrenheit. round your answer to the correct…

Question

convert -51.7°c to degrees fahrenheit.
round your answer to the correct number of significant figures.
°f

Explanation:

Step1: Use the conversion formula

The formula to convert Celsius ($C$) to Fahrenheit ($F$) is $F=\frac{9}{5}C + 32$. Given $C=- 51.7$.
Substitute $C=-51.7$ into the formula: $F=\frac{9}{5}\times(-51.7)+32$.

Step2: Calculate $\frac{9}{5}\times(-51.7)$

$\frac{9}{5}\times(-51.7)=9\times(-10.34)=-93.06$.

Step3: Calculate $F$

$F=-93.06 + 32=-61.06$.

Step4: Round to significant figures

The input $-51.7$ has three significant figures. So, $-61.06\approx - 61.1$.

Answer:

$-61.1$