## anonymous one year ago HELP PLEASE!! As the second hand of the clock rotates the large gear turns 40 degrees. AE = 7 inches, and CD = 5 inches. AC, the length of the chain between the gears is 23 inches. How far does the chain around the circumference of the large gear move to the nearest tenth of an inch? (Enter only the number.)

1. anonymous

2. anonymous

CAN SOMEONE EXPLAIN IT STEP BY STEP PLEASE?

3. anonymous

@Kainui @Hero @iambatman @ganeshie8 @pooja195

4. anonymous

@Vampdie2

5. anonymous

@Goose.

6. anonymous

@Learner11

7. anonymous

@dan815

8. anonymous

@henrry123 @americansniper12 @Vampdie2 @MikaTadashi @Elsa213 @SyedMohammed98

9. anonymous

@haleyright @misty_fox @mm3591 @Mehek14

10. dan815

okay so

11. dan815

the chain is dragged along the smaller gear as it turns 40 degrees

12. dan815

what is the distance the chain moved?

13. dan815

|dw:1441399747422:dw|

14. dan815

so u see the arc length of that thing

15. dan815

|dw:1441399865127:dw|

16. dan815

can you find the arc length?

17. dan815

hint the circumferece of the whole circle is 2pi*r thats for 360 degrees so for 40 degrees how much should it be

18. anonymous

I still dont understand it!

19. dan815

20. anonymous

ok

21. dan815

|dw:1441400103489:dw|

22. dan815

x is that arc length for 40 degrees

23. anonymous

this is confusing im sorry

24. dan815

how about the circumference of the circle do you know that formula

25. anonymous

2pi*r

26. dan815

right okay plug in for radius

27. dan815

what si the whole circumferece of the small circle?

28. anonymous

251.33?

29. anonymous

31.42?

30. dan815

ya ist 10pi so 31.42 approximately

31. dan815

now 40 degrees is what fraction of 360

32. dan815

if you split 360 into parts of 40

33. anonymous

9

34. dan815

right so 40 is 1/9th of 360

35. dan815

you can also split the circumference which belong to the 360 degrees in 9 ways so u can see how much of that circumference belongs to each 40 degrees

36. dan815

1/9th of 31.42 = length of x

37. dan815

to write it with our rounding its 10pi/9

38. dan815

without rounding

39. dan815

|dw:1441402206061:dw|

40. anonymous

40

41. anonymous

31.4

42. dan815

@Jhannybean

43. dan815

she will teach you

44. anonymous

ok

45. Jhannybean

youre pretty much done, you found x, right?

46. anonymous

is x 31.4?

47. anonymous

i'm not sure if this answer is right but is it 4.9? @Jhannybean @dan815