Find an irrational number that is between 9.5 and 9.7. explain why it is irrational. include the decimal approximation of the irrational number to the nearest hundredth.

 The required number is 9.56.

Step-by-step explanation:  We are given to find an irrational number in between 9.5 and 9.7.

Also, to explain the reason behind being irrational and include the decimal approximation of the irrational number to the nearest hundredth.

We know that

a number is irrational if the digits after the decimal are non-terminating and non-repeating.

Let x be an irrational number between 9.5 and 9.7.

So, we consider that

x = 9.562536941412578914

We can see that the digits after the decimal are non-terminating and non-repeating. so, the number is irrational.

Rounding to the nearest hundredth, we get

x = 9.56.

Thus, the required number is 9.56.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

3 is greater then both of those numbers