dietrich_harmon
In circle O, CD = 44, OM = 20, ON = 19,CD l OM, EF l ON (The figure is not drawn to scale.)
Delete
Share
This Question is Closed
dietrich_harmon
Best Response
You've already chosen the best response.
0
a.Find the radius. If your answer is not an integer, express it in radical form.
b.Find FN. If your answer is not an integer, express it in radical form.
c.Find EF. Express it as a decimal rounded to the nearest tenth.
dietrich_harmon
Best Response
You've already chosen the best response.
0
@jim_thompson5910
jim_thompson5910
Best Response
You've already chosen the best response.
1
|dw:1360903051401:dw|
jim_thompson5910
Best Response
You've already chosen the best response.
1
|dw:1360903107022:dw|
dietrich_harmon
Best Response
You've already chosen the best response.
0
i hate geometry..lol
jim_thompson5910
Best Response
You've already chosen the best response.
1
|dw:1360903151843:dw|
solve for x to find the radius
a^2 + b^2 = c^2
20^2 + 22^2 = x^2
dietrich_harmon
Best Response
You've already chosen the best response.
0
is this the answer
jim_thompson5910
Best Response
You've already chosen the best response.
1
tell me what you get for x
dietrich_harmon
Best Response
You've already chosen the best response.
0
42?
dietrich_harmon
Best Response
You've already chosen the best response.
0
oops 22
jim_thompson5910
Best Response
You've already chosen the best response.
1
20^2 + 22^2 = x^2
400 + 484 = x^2
x^2 = 884
x = ???
dietrich_harmon
Best Response
You've already chosen the best response.
0
52
dietrich_harmon
Best Response
You've already chosen the best response.
0
i don't know
jim_thompson5910
Best Response
You've already chosen the best response.
1
x^2 = 884
x = sqrt(884)
x = 2*sqrt(221)
jim_thompson5910
Best Response
You've already chosen the best response.
1
so thats your radius
jim_thompson5910
Best Response
You've already chosen the best response.
1
now you can use this radius to find EF and FN
dietrich_harmon
Best Response
You've already chosen the best response.
0
202 + 222
jim_thompson5910
Best Response
You've already chosen the best response.
1
solve for y
y^2 + 19^2 = (2*sqrt(221))^2
y^2 + 381 = 884
keep going
d_loparsaie
Best Response
You've already chosen the best response.
1
What do you do after you solve for y? @jim_thompson5910
jim_thompson5910
Best Response
You've already chosen the best response.
1
I let y = EN
so to find EF, you need to find 2y
this is because
EF = 2*EN
EF = 2y
jim_thompson5910
Best Response
You've already chosen the best response.
1
also, FN = EN, so once you get EN, you have found FN
d_loparsaie
Best Response
You've already chosen the best response.
1
y^2 + 361=884??
y^2=523
right?
jim_thompson5910
Best Response
You've already chosen the best response.
1
oh somehow I had 381...hmm lol
yeah it's 361
jim_thompson5910
Best Response
You've already chosen the best response.
1
y^2=523
y=sqrt(523)
d_loparsaie
Best Response
You've already chosen the best response.
1
How did you get 884 up there?
jim_thompson5910
Best Response
You've already chosen the best response.
1
(2*sqrt(221))^2 = 4*221 = 884
d_loparsaie
Best Response
You've already chosen the best response.
1
alright so y=29.73?
jim_thompson5910
Best Response
You've already chosen the best response.
1
leave it in radical form
jim_thompson5910
Best Response
You've already chosen the best response.
1
unless it asks about the approximation and rounding it
d_loparsaie
Best Response
You've already chosen the best response.
1
to leave it in radical form do I just leave it as y=sqrt(523)?
jim_thompson5910
Best Response
You've already chosen the best response.
1
yes square roots are considered radicals
d_loparsaie
Best Response
You've already chosen the best response.
1
Solving for y solves for both FN and EF..?
jim_thompson5910
Best Response
You've already chosen the best response.
1
FN yes since FN = EN
jim_thompson5910
Best Response
You've already chosen the best response.
1
but you have to double it to find EF
d_loparsaie
Best Response
You've already chosen the best response.
1
So the one we just solved (y) is FN right? and I add FN and EN together.. but how do I do that since its in radical form?
jim_thompson5910
Best Response
You've already chosen the best response.
1
or you can double FN to get EF
d_loparsaie
Best Response
You've already chosen the best response.
1
1,046? right
d_loparsaie
Best Response
You've already chosen the best response.
1
is EF
jim_thompson5910
Best Response
You've already chosen the best response.
1
no EF = 2*sqrt(523)
d_loparsaie
Best Response
You've already chosen the best response.
1
How do I double Fn to get Ef
jim_thompson5910
Best Response
You've already chosen the best response.
1
I just did it
d_loparsaie
Best Response
You've already chosen the best response.
1
-___- if 2*sqrt(523) is EF then half of that is Fn and En right..
jim_thompson5910
Best Response
You've already chosen the best response.
1
correct
d_loparsaie
Best Response
You've already chosen the best response.
1
Alright lol sorry I was confused on which was which. How do I find out what half of the radical is? just divide 523 by 2?
jim_thompson5910
Best Response
You've already chosen the best response.
1
it's just 2*sqrt(523) and sqrt(523)
d_loparsaie
Best Response
You've already chosen the best response.
1
EF=2*sqrt(523) and EN and FN = sqrt(523) .. wow haha I feel stupid. Thank you so much though!
jim_thompson5910
Best Response
You've already chosen the best response.
1
it's fine, yw
d_loparsaie
Best Response
You've already chosen the best response.
1
to find 2*sqrt(523) as a decimal rounded to the nearest tenth I multiply 523*2 and then take the square root of that number right?
jim_thompson5910
Best Response
You've already chosen the best response.
1
you first take the square root of 523, then you double that result
jim_thompson5910
Best Response
You've already chosen the best response.
1
then you round to whatever they want
d_loparsaie
Best Response
You've already chosen the best response.
1
so the answer would be 45.74?
jim_thompson5910
Best Response
You've already chosen the best response.
1
yep 2*sqrt(523) = 45.74 roughly
d_loparsaie
Best Response
You've already chosen the best response.
1
Thank you again
jim_thompson5910
Best Response
You've already chosen the best response.
1
sure thing