anonymous
  • anonymous
CD is tangent to the circle and segment AE is perpendicular to segment AC. If a radius of the circle measures 12 in., which is the value of DF + AF?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
vishal_kothari
  • vishal_kothari
wait for a minute...
anonymous
  • anonymous
It's multiple choice; these are the answers given: A. 28 + 5(sqrt 3) B. 28 - 4(sqrt 3) C. 24 - 4(sqrt 3) D. 21 + 2(sqrt 3)

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vishal_kothari
  • vishal_kothari
C.
anonymous
  • anonymous
Can you explain how?
vishal_kothari
  • vishal_kothari
in which grade you are in?
anonymous
  • anonymous
8th, but I'm taking Geometry.
vishal_kothari
  • vishal_kothari
the concept i used is taught in 11th grade...
anonymous
  • anonymous
Try me
vishal_kothari
  • vishal_kothari
what?
anonymous
  • anonymous
As in, let's see if I can understand it.
vishal_kothari
  • vishal_kothari
in AFE, tan60=AE/AF \[\sqrt{3}\]=12/AF AF=4\[\sqrt{3}\]
anonymous
  • anonymous
whoops, sorry
vishal_kothari
  • vishal_kothari
why you are sorry...
anonymous
  • anonymous
because I accidentally typed a phrase that was incongruous in our conversation?
anonymous
  • anonymous
oh well
vishal_kothari
  • vishal_kothari
u in which country...
anonymous
  • anonymous
America?
anonymous
  • anonymous
This question was posed to me in my geometry class - are u sure there's no easier way to solve it? I was thinking something to do with 30-60-90 triangles
vishal_kothari
  • vishal_kothari
i also used that...
anonymous
  • anonymous
ok
anonymous
  • anonymous
well i understand how AF = 4(sqrt 3)
anonymous
  • anonymous
what im not getting is how to solve for DF
vishal_kothari
  • vishal_kothari
really...
vishal_kothari
  • vishal_kothari
u understand how to get AF..
anonymous
  • anonymous
well, i didn't understand how u explained it, but i did arrive at the same answer - 4(sqrt 3)
anonymous
  • anonymous
so let's see - if we use 30-60-90 triangles as our basis, then DF = 2CF, correct?
vishal_kothari
  • vishal_kothari
if i will give you the value of CF.. THAN COULD U FIND DF...
vishal_kothari
  • vishal_kothari
CF=AC-AF=12-4\[\sqrt{3}\]
anonymous
  • anonymous
I think I could, but what I'm getting is not 24, like you say it is. That's why I'm going to show you how I would solve it, and I ask that you please correct me if I am wrong. AC = 12, because it is a radius. We have determined that AF = 4(sqrt 3). 12 - 4(sqrt 3) =
anonymous
  • anonymous
yeah ok good, we agree so far
anonymous
  • anonymous
so 12 - 4(sqrt 3) = 5.07179677
anonymous
  • anonymous
Using 30-60-90 Triangles, DF is 2x this, or 10.1435935
vishal_kothari
  • vishal_kothari
YA..
vishal_kothari
  • vishal_kothari
ARE U AT FACEBOOK...
anonymous
  • anonymous
no
anonymous
  • anonymous
okay
anonymous
  • anonymous
good, thank you for your time
vishal_kothari
  • vishal_kothari
WELCOME
anonymous
  • anonymous
so i am new to this website - how do i thank you in return?
vishal_kothari
  • vishal_kothari
IT'S 12:25 A.M. HERE..
anonymous
  • anonymous
oh sorry
anonymous
  • anonymous
why are you using a computer at 12:30?
anonymous
  • anonymous
oh well
anonymous
  • anonymous
so do i thank you by clicking good answer on all of your responses?
vishal_kothari
  • vishal_kothari
YOUR WISH..
anonymous
  • anonymous
i told you im new - im not sure what to do now
vishal_kothari
  • vishal_kothari
WELL IT WAS MY BROTHER'S BIRTHDAY .....SO 12:30..
vishal_kothari
  • vishal_kothari
GIVE ME A MEDAL AND YOUR LEVEL WILL INCREASE..
anonymous
  • anonymous
can i give u multiple if i feel like it?
anonymous
  • anonymous
oh w8, other people have to
anonymous
  • anonymous
all right, thank you again for all your help
vishal_kothari
  • vishal_kothari
WELCOME
vishal_kothari
  • vishal_kothari
ASK MORE QUESTIONS IF YOU HAVE ...
anonymous
  • anonymous
I'm fine for now, but I definitely will when I have another one.
vishal_kothari
  • vishal_kothari
OK

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