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Re: Maths for fun :P

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xXxMoNkEyMaNxXx is not online. xXxMoNkEyMaNxXx
Joined: 03 Oct 2008
Total Posts: 3120
25 Feb 2012 09:20 PM
2 arcs of circles with the same center are 25 degrees wide


<))

if the arc length of one is 5, and the other is 6, how far apart are they!?
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xXxMoNkEyMaNxXx is not online. xXxMoNkEyMaNxXx
Joined: 03 Oct 2008
Total Posts: 3120
25 Feb 2012 10:29 PM
NOBODEH KNOWS ITS 2.2918311805233!?
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xXxMoNkEyMaNxXx is not online. xXxMoNkEyMaNxXx
Joined: 03 Oct 2008
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25 Feb 2012 10:33 PM
forever alone :'(
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meteorit210 is not online. meteorit210
Joined: 08 Sep 2010
Total Posts: 348
25 Feb 2012 11:12 PM
My turn

2y+sqrt3y = 1
find y
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noobertuber is not online. noobertuber
Joined: 16 Jan 2007
Total Posts: 2321
25 Feb 2012 11:23 PM
4y^2 + 3y = 1
4y^2 + 3y - 1 = 0
y = (-b +- (b^2 - 4ac)^0.5)/2a
y = (-3 +- (9 - 4*4*-1)^0.5)/8
y = (-3 +- 25^0.5)/8

y = -7/2, 11/4

Sincerely,
Noobertuber
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xXxMoNkEyMaNxXx is not online. xXxMoNkEyMaNxXx
Joined: 03 Oct 2008
Total Posts: 3120
25 Feb 2012 11:24 PM
sqrt(3y) or sqrt(3)y

for sqrt(3y)
2y-1=-(3y)^0.5
(2y-1)^2=3y
4y^2-2y+1=3y
4y^2-5y+1=0
4(y-0.625)^2-0.5625=0
y=0.625+(0.5625/4)^0.5 and 0.625-(0.5625/4)^0.5

y=1 and 0.25

for sqrt(3)y
(2+3^0.5)y=1
y=1/(2+3^0.5)

y=0.26794919243112
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noobertuber is not online. noobertuber
Joined: 16 Jan 2007
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25 Feb 2012 11:26 PM
Put your solutions into the equation:

2y + sqrt3y = 1

2 + sqrt3 = 1 FALSE

0.5 + sqrt0.75 = 1 FALSE

Quadratic formula for the win.

Sincerely,
Noobertuber
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xXxMoNkEyMaNxXx is not online. xXxMoNkEyMaNxXx
Joined: 03 Oct 2008
Total Posts: 3120
25 Feb 2012 11:29 PM
If you square the whole thing, it would be
(2y + (3y)^0.5)^2
4y^2+4y*2(3y)^0.5+3y :P
FOILed, brother.
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xXxMoNkEyMaNxXx is not online. xXxMoNkEyMaNxXx
Joined: 03 Oct 2008
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25 Feb 2012 11:31 PM
can't take the square root of a negative
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xXxMoNkEyMaNxXx is not online. xXxMoNkEyMaNxXx
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25 Feb 2012 11:32 PM
2*(11/4)+sqrt(3*(11/4))=8.37228132326901
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xXxMoNkEyMaNxXx is not online. xXxMoNkEyMaNxXx
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25 Feb 2012 11:33 PM
BOTH WRONG FOR THE WIN
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xXxMoNkEyMaNxXx is not online. xXxMoNkEyMaNxXx
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25 Feb 2012 11:34 PM
both of us, not both of your answers, just to clarify
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xXxMoNkEyMaNxXx is not online. xXxMoNkEyMaNxXx
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25 Feb 2012 11:37 PM
4y^2+192y^(3/2)+3y
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xXxMoNkEyMaNxXx is not online. xXxMoNkEyMaNxXx
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25 Feb 2012 11:44 PM
found my mistake
2y-1=-(3y)^0.5
(2y-1)^2=3y
v
4y^2-4y+1=3y
4y^2-7y+1=0
4(y-0.875)^2-2.0625=0
y=0.875+(2.0625/4)^0.5 and 0.875-(2.0625/4)^0.5
y=1.59307033081726 and 0.15692966918274

but only 0.15692966918274 works.

Now do my problem!
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noobertuber is not online. noobertuber
Joined: 16 Jan 2007
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26 Feb 2012 12:20 AM
What is your problem?

Sincerely,
Noobertuber
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xXxMoNkEyMaNxXx is not online. xXxMoNkEyMaNxXx
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26 Feb 2012 03:18 AM
[top of thread]
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Brandonhare is not online. Brandonhare
Joined: 02 May 2007
Total Posts: 11005
26 Feb 2012 03:41 AM
Let x,y be the radii of the inner and outer circle respectively.

(also π = pi, if your font is weird like mine is)

2πx * 25/360 = 5
50πx = 1800
x = 36/π

2πy * 25/360 = 6
50πy = 2160
y = 43.2/π

The distance between the two circles = y - x
= 43.2/π - 36/π
= 7.2/π

= 36/5π
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Brandonhare is not online. Brandonhare
Joined: 02 May 2007
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26 Feb 2012 03:53 AM
Now find 4 in base 3.5
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xXxMoNkEyMaNxXx is not online. xXxMoNkEyMaNxXx
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26 Feb 2012 05:29 AM
good sir, I do believe that 4 in base 3.5, to 50 decimal places, is 10.12202100121030302211303102030300130221223010001010.
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xXxMoNkEyMaNxXx is not online. xXxMoNkEyMaNxXx
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26 Feb 2012 05:33 AM
now another problem similar to yours:
what is 3 in base phi?
phi=(1+5^0.5)/2
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Oysi is not online. Oysi
Joined: 06 Jul 2009
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26 Feb 2012 05:39 AM
[ Content Deleted ]
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xXxMoNkEyMaNxXx is not online. xXxMoNkEyMaNxXx
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26 Feb 2012 05:47 AM
says you?
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Oysi is not online. Oysi
Joined: 06 Jul 2009
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26 Feb 2012 05:51 AM
[ Content Deleted ]
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xXxMoNkEyMaNxXx is not online. xXxMoNkEyMaNxXx
Joined: 03 Oct 2008
Total Posts: 3120
26 Feb 2012 06:00 AM
local answer="10.12202100121030302211303102030300130221223010001010"
local start=answer:find(".",1,true)-1
local result=0
local count=0
for d=1,#answer do
local digit=tonumber(answer:sub(d,d))
if digit then
start=start-1
result=result+digit*3.5^start
end
end
print(result)

>4
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Brandonhare is not online. Brandonhare
Joined: 02 May 2007
Total Posts: 11005
26 Feb 2012 06:02 AM
(wikipedia): Non-integer_representation
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