Question

What is the length of stack M N with bar on top ? Round to the nearest tenth of a unit.

units

Answer 1

Graph

Answer 2

WILL FAN AND MEDAL!!

Answer 3

@Hero

Answer 4

Can you help me @Hero?

Answer 5

The quickest way to do it is to find the length of the unit segment. Then multiply by the total number of unit segments that span segment MN.

Answer 6

What??

Answer 7

@Vocaloid

Answer 8

The unit segment. If you notice, the entire length of MN can be broken down into six equal segments. Of those six smaller segments, if you take one of them, it would represent the unit segment.

Answer 9

Can you walk me through using numbers I learn better that way.

Answer 10

When you have understood that, let me know.

Answer 11

When I said numbers I meant equations... like @Vocaloid does.

Answer 12

We'll get to that. But first, do you see that there are six unit segments?

Answer 13

yes

Answer 14

Okay, now all we have to do is take just one of those segments create a right triangle and apply pythagorean theorem. Notice the length of the legs of the triangle is just one unit.

The pythagorean theorem is a^2 + b^2 = c^2. If we let a and b represent the length of the legs, then \(1^2 + 1^2 = c^2\) or \(1 + 1 = c^2\) or simply \(2 = c^2\). So \(\sqrt{2} = c\)

Answer 15

\(c\) is the length of one unit segment. Multiply that by 6 and you'll have the length of \(MN\)

Answer 16

surely it is simpler to apply pythag to the entire interval

Answer 17

I am SO lost.

Answer 18

In theory, yes, but if properly applied, this is the simpler method.

Answer 19

Or the more intuitive method.

Answer 20

I am NOT good at math at ALL... Sorry.