A running track in the shape of an oval is shown. The ends of the track form semicircles. A running track is shown. The left and right edges of the track are identical curves. The top and bottom edges of the track are straight lines. The track has width 68 m and length of one straight edge 140 m. What is the perimeter of the inside of the track? (π = 3.14) 416.00 m 493.52 m 707.04 m 719.60 m
@Loser66
the perimeter of the running track, is given by the sum of the length of each side, so we have this formula: \[p = \left( {\pi \cdot 34} \right) + 140 + \left( {\pi \cdot 34} \right) + 140 = ...?\]
493.22? @Michele_Laino
493.52*
correct! It is \(493.52\) meters
Thanks so much! Do you mind helping on another question?
ok!
Which of the following possibilities will form a triangle? Side = 15 cm, side = 7 cm, side = 7 cm Side = 15 cm, side = 7 cm, side = 9 cm Side = 14 cm, side = 6 cm, side = 7 cm Side = 14 cm, side = 6 cm, side = 8 cm
hint: for a triangle, each side has to be greather than the difference between the other two sides
greater*
furthermore, each side has to be less than the sum of other two sides
please, I consider the first case: we have the subsequent difference: 15-7= 8 which is greater than 7, so what can you conclude
im trying to write everything on paper just incase I have to use this for later. give me a second.
ok!
The sum is equal to one of the sides, so that cant be.. right?
we have: third side = 7 < 15 - 7=8, so it can be a triangle
third case, we have this: 14 < 6+7 = 13, so what can you conclude?
oops, 14 > 6+7= 13...
Sorry, im trying to work it out (:
no problem :)
I know C cant be right... right?
But it seems like A and B could be right..
the side = 14 is greater than the sum of the other two sides, which is 13, so it can not be a triangle
case D. is wrong since the difference between two sides 14-8= 6 which is not less than the third side. So, the right option is B.
Oh okay.. I understand now... Thank you! I still have 2 more questions.. do you mind helping me or should I close this post?
yes! please open a new post
ok, should I tag you in the new post?
ok!
okay, thanks so much!
:)
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