Mathematics
18 Online
OpenStudy (anonymous):
PLEASE help!!! Geometry question- I really need to submit my assignment and I have no idea how to do these...
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OpenStudy (anonymous):
OpenStudy (anonymous):
OpenStudy (anonymous):
1 complete rotation means 360
OpenStudy (dan815):
20 secs it takes 1 full rotation
so 4 secs it makes?
OpenStudy (dan815):
4 = 20/5
so 4 = 1/5 th of a full rotation
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OpenStudy (anonymous):
72?
OpenStudy (anonymous):
And what about the 2nd one?
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
if it takes 20 seconds to make a full revolution, then how far have you gone in 5 seconds?
OpenStudy (anonymous):
72 degrees?
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jimthompson5910 (jim_thompson5910):
1/2 a revolution? 3/4 of a revolution? 1/4 of a revolution?
OpenStudy (anonymous):
I'm confused..
jimthompson5910 (jim_thompson5910):
5 seconds/20 seconds = ???
OpenStudy (anonymous):
ohhh 1/4
jimthompson5910 (jim_thompson5910):
so you've gone 1/4 of a full 360 degree revolution
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jimthompson5910 (jim_thompson5910):
(1/4)*360 = 90 degrees
jimthompson5910 (jim_thompson5910):
so you've rotated 90 degrees CCW
jimthompson5910 (jim_thompson5910):
the rule for that is
(x,y) ----> (-y,x)
OpenStudy (anonymous):
so (-3,4) ?
jimthompson5910 (jim_thompson5910):
yep
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OpenStudy (anonymous):
and then was 72 right for the first one?
jimthompson5910 (jim_thompson5910):
yes
OpenStudy (anonymous):
thank you! And could you also help me with these? Someone tried explaining them to me earlier but I couldn't get it...
OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
you posted the same thing twice
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OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
idk you posted #2 twice, so some info is missing
OpenStudy (anonymous):
oh, i left out the first one. 1 sec
OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
how do you go from point T do line DC?
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jimthompson5910 (jim_thompson5910):
to*
OpenStudy (anonymous):
move to the right two and up one i think
jimthompson5910 (jim_thompson5910):
yep, so the vector is <2,1>
OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
<p,q> means you move p units on the x and q units on the y
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jimthompson5910 (jim_thompson5910):
p positive ---> move to the right
p negative ---> move to the left
etc etc
jimthompson5910 (jim_thompson5910):
same question, just going from from where we stopped earlier to point H
OpenStudy (anonymous):
4, -2?
jimthompson5910 (jim_thompson5910):
yep go 4 to the right, 2 down
jimthompson5910 (jim_thompson5910):
these aren't too bad right?
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OpenStudy (anonymous):
right. :) So it would be <4, -2> ?
jimthompson5910 (jim_thompson5910):
yep
OpenStudy (anonymous):
And then for the last one it would be <6, -1> ?
jimthompson5910 (jim_thompson5910):
vectors are like directions to move from point to point
ie they're like translations
jimthompson5910 (jim_thompson5910):
yep, if you add the vectors, you are essentially going from point A to C (instead of going from A to B, then to C)
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jimthompson5910 (jim_thompson5910):
so you are taking the direct route from beginning to end (without the pitstop)
OpenStudy (anonymous):
thanks! Could you double check these 2 for me?
OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
what a mess....not sure where things should line up
OpenStudy (anonymous):
What do you mean?:o
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jimthompson5910 (jim_thompson5910):
I don't think it's 180 though
jimthompson5910 (jim_thompson5910):
it looks more like 30 or 45, not sure though
jimthompson5910 (jim_thompson5910):
it's very hard to see the pic and where things should line up
OpenStudy (anonymous):
I think I'm just gonna go with 45, haha. But how do I figure out the 2nd one if I'm using 45?:o
jimthompson5910 (jim_thompson5910):
if it was 45, then,
24/360 = x/45
1/15 = x/45
1*45 = 15x
15x = 45
x = 45/15
x = 3
So it was open 3 hours
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OpenStudy (anonymous):
Ohh okay. Thank you!
jimthompson5910 (jim_thompson5910):
np