Which diagram? I'm not seeing one.
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#332589 parallelogram conjecture?
Posted by ShadowAngel7 on 27 May 2013  01:58 AM
#332457 Tangent to two circles
Posted by ShadowAngel7 on 23 May 2013  02:09 AM
area(b)=12.56=(pi)r^2, yields r(b)=2
let the intersection of the line between the centers and the tangent line be point C.
For each circle, the center, the point of tangency, and C form a right triangle. The two triangles are mathematically similar.
Call each triangle by the same letter as the circle whose center it contains. Thus triangle A:triangle 2 is 1:2.
The hypotenuse of triangle A plus the hypotenuse of triangle B equals 5. Additionally, hypotenuse B is twice hypotenuse A. Thus, hypotenuse A is 5/3
Angle is determined by inverse sine; opposite over adjacent.
sin^(1)(a/c)=sin^(1)(3/5)=36.8698976 degrees or 0.643501109 radians
Basically, the tangent line, the line between the centers, and the radii form a pair of 3:4:5ratio right triangles.
 1
#332408 Making Ice
Posted by ShadowAngel7 on 20 May 2013  11:38 PM
I think one of the problems with this problem is that we are missing the assumption that standard ice trays hold 12 ice cubes
That's not what's missingyou said in the OP that each tray holds a dozen.
 1
#332407 Classic Sam Loyd Tongue Twister on Multiplication (perplexed professor)
Posted by ShadowAngel7 on 20 May 2013  11:35 PM
Regardless of base, 20 means 2 times the base. Therefore, half of 20 is 1 times the base, 10.
5x6=33 in base 9, by the way.
Let x represent the base number; then 30 in base ten is equal to 3x+3
30=3x+3, 10=x+1, x=9
 1
#332405 A swimmer loses their cap.
Posted by ShadowAngel7 on 20 May 2013  11:27 PM
Let v=swimmer's speed, c=current, and x=time after turnaround.
iThis leads to 3 expressions.
a=10(vc): distance the swimmer goes upstream in the first 10 minutes.
b=x(v+c): distance the swimmer goes downstream for the cap
d=(10+x)c: distance the cap floats; 1000 meters.
a+d=b
10v10c+10c+xc=xv+xc
10v=xv
10=x
sub in:
a=10v10c
b=10v+10c
d=20c=1000
20c=1000 yields c=50
a=10v500
b=10v+500
10v500+1000=10v+500, identity.
There isn't enough info to solve for v.
 1
#332341 Two special numbers
Posted by ShadowAngel7 on 19 May 2013  03:46 AM
ab=a/b=ab
ab=ab
a=a/b1
a=ab1
0=b1
b=1
a=a+1
1=2a
a=1/2
1/2+(1)=3/2
 1
#332261 Whether to produce desks, tables, or chairs
Posted by ShadowAngel7 on 17 May 2013  03:07 AM
4d+2t+1.5c<=20
2d+1.5t+.5c<=8
maximize 6d+3t+2c
can't use all available resources because attempting to do so yields t=12
 1
#319360 Lord of Combat II
Posted by ShadowAngel7 on 19 June 2012  11:04 PM
Garbage Information Retrieval, maybe? I never watched invader zim....Right. So if SIR stands for Standard Information Retrieval, what does GIR stand for?
"I...don't...know..."
Only kind of offtopic. Still waiting for the last person.
 1
#319072 Rollo
Posted by ShadowAngel7 on 18 June 2012  10:15 PM
If PRIZE>PRIDE then ***Z* is correct as only difference. if PRIDE>PRIZE then ***D* is correct as only difference. If perchance PRIDE=PRIZE=4, then PRI*E is correct as the constants. If they are equal with less than 4, then some subset of those is correct.
 1
#319022 Rollo
Posted by ShadowAngel7 on 18 June 2012  06:42 PM
WHIRL (02)
TRUTH (13)
SHEET (02)
SHEIK (01)
TOPIC (14)
TITAN (15)
TYPED (15)
Numbers in parentheses are the possibilities for the number, based on my logic.
 1
#318768 Villager, Villager, Mafia
Posted by ShadowAngel7 on 16 June 2012  02:10 AM
Lol and I totally agree with your sig re: Sherlock, YSan.
 1
#316635 Ways to Annoy your Roommate
Posted by ShadowAngel7 on 28 May 2012  03:25 PM
I'm not certain it'll work, but my future roommate posted this to my wall on FB....
 2
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