Mathematics
6 Online
OpenStudy (song_of_the_sole):
help please :)
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OpenStudy (song_of_the_sole):
a circle with radius x is shown below. The diagram is not drawn to scale
|dw:1464742499615:dw|
what is the value of x?
OpenStudy (song_of_the_sole):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
all radii are the same so we can draw this in
|dw:1464742629986:dw|
jimthompson5910 (jim_thompson5910):
the 28 gets cut in half since the radius is perpendicular to the chord
28/2 = 14
|dw:1464742663274:dw|
jimthompson5910 (jim_thompson5910):
pull out just the triangle
|dw:1464742696823:dw|
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jimthompson5910 (jim_thompson5910):
do you know what to do next?
OpenStudy (song_of_the_sole):
i cant seem to remember what to do next
jimthompson5910 (jim_thompson5910):
have you learned the pythagorean theorem?
OpenStudy (song_of_the_sole):
a^2+b^2=c^2
jimthompson5910 (jim_thompson5910):
yes, what are 'a' and 'b' equal to in this case?
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OpenStudy (song_of_the_sole):
8^2+x^2=28^2 am i right
jimthompson5910 (jim_thompson5910):
look at this triangle
|dw:1464743124659:dw|
jimthompson5910 (jim_thompson5910):
'a' and 'b' are the legs
'c' is always the longest side (longest side always opposite the 90 degree angle)
OpenStudy (song_of_the_sole):
oh so 8^2+14^2=x^2
jimthompson5910 (jim_thompson5910):
yep
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jimthompson5910 (jim_thompson5910):
what is x equal to?
OpenStudy (song_of_the_sole):
64+196=x^2
jimthompson5910 (jim_thompson5910):
keep going
OpenStudy (song_of_the_sole):
wait what do i do next again
jimthompson5910 (jim_thompson5910):
what is 64+196 equal to?
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OpenStudy (song_of_the_sole):
260
jimthompson5910 (jim_thompson5910):
so x^2 = 260
how do we isolate x? what is the opposite of squaring a number?
OpenStudy (song_of_the_sole):
finding the square root?
jimthompson5910 (jim_thompson5910):
yes, take the square root of both sides
OpenStudy (song_of_the_sole):
so square foot of 260
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jimthompson5910 (jim_thompson5910):
which is equal to what?
OpenStudy (song_of_the_sole):
16.1
jimthompson5910 (jim_thompson5910):
16.124515496597 which rounds to 16.1
yes
OpenStudy (song_of_the_sole):
so 16.1 is the answer
OpenStudy (song_of_the_sole):
thank you so so much :)
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jimthompson5910 (jim_thompson5910):
yes approximately
OpenStudy (song_of_the_sole):
i have 2 more questions if you dont mind helping :)
OpenStudy (song_of_the_sole):
@jim_thompson5910