Evaluate the following expression and round the result to the nearest hundredth. $\frac { ( 0.7 ) ^ { 2 } - ( 0.3 ) ^ { 2 } } { 0.473 + 0.4 }$
A) 0.48
B) 0.61
C) 0.46
D) 0.97
E) 0.31

Question

Quizplus · Accepted Answer

First, calculate $(0.7)^2 = 0.49$ and $(0.3)^2 = 0.09$. Then, $(0.7)^2 - (0.3)^2 = 0.49 - 0.09 = 0.40$. Next, calculate the denominator: $0.473 + 0.4 = 0.873$. Finally, divide the results: $\frac{0.40}{0.873} \approx 0.458$, which rounds to 0.46.

Evaluate the Following Expression and Round the Result to the Nearest