Art of Problem Solving

AoPS Wiki:Sandbox: Difference between revisions

Spring (talk | contribs)
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Nilsmo (talk | contribs)
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=== Sandbox Area ===
=== Sandbox Area ===
<asy>unitsize(1cm);
<asy>
int[][] c = {{0,2,2,0,0,0},
draw((0,0)--(3,9),black);
            {0,1,1,1,1,0},
label("$71^\circ$",(0,0),NE);
            {3,3,3,0,0,0}};
draw((3,9)--(6,0),black);
real[] red = {1, 0, 0, 0};
label("$71^\circ$",(6,0),NW);
real[] gre = {0, 0, 1, 0};
draw((0,0)--(6,0),black);
real[] blu = {0, 1, 0, 0};
label("$38^\circ$",(3,8),S);
for(int i=0; i < c.length; ++i) {
dot((0,0));
for(int j=0; j < c[i].length; ++j) {
dot((3,9));
dot((i,j),rgb(red[c[i][j]], gre[c[i][j]], blu[c[i][j]]));
dot((6,0));
}
draw((-1,7)--(2.3,5.9),black);
}
draw((-1,6)--(2,6),red);
label("$19^\circ$",(1,6),NW);
</asy>
</asy>
----
<math>\begin{align*}
\dfrac{p+q}{p-q}&=1+\dfrac{2q}{p-q}\\
&= 1+\dfrac{14}{2}\\
&= \boxed{7}
\end{align*}</math>
----
Testing answers template:
<math>{{answers
| a = 4
| b = 5
| c = 6
| d = 7
| e = 8
}}</math>
[[User:Googology101|googology101]]<sup>[[User talk:Googology101|talk]] &bull; [[Special:Contribs/Googology101|contribs]]</sup> 22:07, 27 February 2009 (UTC)
e
testing
<math>\frac{9}{5}</math>

Revision as of 13:09, 26 May 2009

Template:AoPSWiki:Sandbox/header In the computer world, a sandbox is a place to test and experiment -- essentially, it's a place to play.

This is the AoPSWiki Sandbox. Feel free to experiment here.

Warning: anything you place here is subject to deletion without notice.

Sandbox Area

[asy] draw((0,0)--(3,9),black); label("$71^\circ$",(0,0),NE); draw((3,9)--(6,0),black); label("$71^\circ$",(6,0),NW); draw((0,0)--(6,0),black); label("$38^\circ$",(3,8),S); dot((0,0)); dot((3,9)); dot((6,0)); draw((-1,7)--(2.3,5.9),black); draw((-1,6)--(2,6),red); label("$19^\circ$",(1,6),NW); [/asy]