Mathematics
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OpenStudy (anonymous):
line AB is tangent to circle O at B. What is the length of the radius r? Round to the nearest tenth.
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OpenStudy (anonymous):
OpenStudy (anonymous):
can you please help? @Jhannybean
OpenStudy (anonymous):
is it 3.6? O:
OpenStudy (anonymous):
@Hero
OpenStudy (anonymous):
hint" the angle AB makes with radius r=90 degrees.
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OpenStudy (anonymous):
other wise, that AB is not instantaneous rate of change @ point of intersection.
OpenStudy (jhannybean):
Well,use the pythagorean theorem. Since AB is tangent to the circle line AB and the radius, r make create a perpendicular angle, 90 degrees.
OpenStudy (anonymous):
so im wrong? @katherine.ok
OpenStudy (jhannybean):
sorry, the radius perpendicularly bisects line AB, which is tangent to the circle.
OpenStudy (jhannybean):
And this in turn creates a right triangle, A0B
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OpenStudy (anonymous):
yes you are wrong.
OpenStudy (jhannybean):
Use the pythagorean theorem : \(\large c^2 = a^2 + b^2\) where c = hypotenuse = 8.6 and a= r, and b = 5
OpenStudy (anonymous):
my next guess would have to be 7.0
OpenStudy (anonymous):
okay ill do that then
OpenStudy (jhannybean):
|dw:1376445175220:dw|
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OpenStudy (jhannybean):
\[\large c^2 = a^2 + b^2\]\[\large (8.5)^2 = (5)^2 + r^2 \]\[\large r^2 = (8.5)^2 - (5)^2 \]\[\large r = \sqrt{(8.5)^2 -(5)^2}\] solve for r.
OpenStudy (anonymous):
8.5^2= a^2+5^2
OpenStudy (anonymous):
@Ahmad1
OpenStudy (anonymous):
need any there :)
OpenStudy (anonymous):
would you say 7.0? o:
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OpenStudy (anonymous):
about right because 8.6^2= 7^2+5^2
OpenStudy (anonymous):
yes I would ;)
OpenStudy (anonymous):
finally im right :D lol thanks guys !
OpenStudy (anonymous):
you are always right dude @cocopuffs90
OpenStudy (anonymous):
thanks dude!