Question

10 caints5) Which value is NOT located between these two numbers on thenumber line?+V10026 - 17V5TTΟ Option 1Option 237

Answer 1

The question says that we should find the values that are not located between the two numbers;

The Two numbers are given as;

$\frac{\sqrt{100}}{5}=\frac{10}{5}=2$

And;

$2\pi^2-17=2(3.14)^2-17=19.719-17\approx2.72$

So, from the options we need to select the numbers that are not in between 2 and 2.72.

$\begin{gathered} A\text{. }\sqrt{5}=2.24 \\ \end{gathered}$

2.24 is between 2 and 2.72

$B\text{. }\pi=3.14$

3.14 is not between 2 and 2.72.

$C\text{. }\frac{3\pi}{4}=\frac{3(3.14)}{4}=\frac{9.42}{4}=2.355$

2.355 is between 2 and 2.72.

$D\text{.}\frac{\pi^2}{4}=\frac{3.14^2}{4}=2.46$

2.46 is between 2 and 2.72.

Therefore, the value that is not between the two numbers on the number line is;

$\pi$