## anonymous one year ago What is the length of stack M N with bar on top ? Round to the nearest tenth of a unit. units

1. anonymous

Graph

2. anonymous

WILL FAN AND MEDAL!!

3. anonymous

@Hero

4. anonymous

Can you help me @Hero?

5. Hero

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.

6. anonymous

What??

7. anonymous

@Vocaloid

8. Hero

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.

9. anonymous

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

10. Hero

11. Hero

When you have understood that, let me know.

12. anonymous

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

13. Hero

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

14. anonymous

yes

15. Hero

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 $$\sqrt{2} = c$$

16. Hero

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

17. UnkleRhaukus

surely it is simpler to apply pythag to the entire interval

18. anonymous

I am SO lost.

19. Hero

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

20. Hero

Or the more intuitive method.

21. anonymous

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

22. UnkleRhaukus

|dw:1434682942799:dw|

23. UnkleRhaukus

|dw:1434683007008:dw|

24. UnkleRhaukus

${MN}^2 = (4-(-2))^2 + (8-2)^2\\ {MN} = \sqrt{(4-(-2))^2 + (8-2)^2}$

25. anonymous

ok hold on.

26. anonymous

4?

27. UnkleRhaukus

?

28. anonymous

the answer for the equation... is it 4?

29. UnkleRhaukus

no

30. UnkleRhaukus

what is 8 - 2 ?

31. anonymous

oh 6

32. UnkleRhaukus

and what is 4 - (-2) ?

33. anonymous

6

34. UnkleRhaukus

so you have a right angled triangle, with two sides equal to 6, and you want to find the hypotenuse pythag. says: 6^2 + 6^2 = MN^2

35. UnkleRhaukus

ie MN = √ ( 6^2+6^2 )

36. anonymous

72

37. UnkleRhaukus

dont forget to take the square root

38. anonymous

8.49?

39. UnkleRhaukus

yes!, but careful, the question wants the answer accurate to the nearest tenth of a unit

40. anonymous

ok I have 3 more can you help me @UnkleRhaukus ?

41. UnkleRhaukus

I want to check your final answer for this one before we move on, what is 8.49 with one decimal place values represented only

42. anonymous

yeah I came to 8.5.

43. UnkleRhaukus

Good work!

44. anonymous

So can you help me with the rest?

45. UnkleRhaukus

perhaps, (close this post and open a new question so the page doesn't get too long )

46. anonymous

ok I'll tag you.

47. UnkleRhaukus

ok!