AoPS Wiki:Sandbox

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piphi's avatar

sss <br /> yyy

what is a pre tag
size(10cm);
draw(circle((0,0), 0.75));
label("A", (0,0.75))
draw(circle((6,0), 0.75));
draw(circle((12,0), 0.75));
draw(circle((18,0), 0.75));
draw(circle((0,3.5), 0.75));
draw(circle((6,3.5), 0.75));
draw(circle((12,3.5), 0.75));
draw(circle((18,3.5), 0.75));
draw(circle((0,7), 0.75));
draw(circle((6,7), 0.75));
draw(circle((12,7), 0.75));
draw(circle((18,7), 0.75));
draw(circle((0,10.5), 0.75));
draw(circle((6, 10.5), 0.75));
draw(circle((12, 10.5), 0.75));
draw(circle((18,10.5), 0.75));
draw(circle((0,14), 0.75));
draw(circle((6,14), 0.75));
draw(circle((12,14), 0.75));
draw(circle((18,14), 0.75));
draw(circle((0,17.5), 0.75));
draw(circle((6,17.5), 0.75));
draw(circle((12,17.5), 0.75));
draw(circle((18,17.5), 0.75));
<\asy>
<asy>
unitsize(0.15inch);
draw((0,0)--(2,0)--(2,1)--(0,1)--cycle);
draw((1,0)--(1,1));
label("2",(0.5,-0.3),N);
label("4",(1.5,-0.3),N);
draw((0,1.5)--(1,1.5)--(1,3.5)--(0,3.5)--cycle);
draw((0,2.5)--(1,2.5));
label("5",(0.5,1.2),N);
label("7",(0.5,2.2),N);
draw((3,-1)--(4,-1)--(4,-2)--(3,-2)--cycle);
label("7",(3.5,-0.7),S);
draw((4,1)--(4,2)--(6,2)--(6,1)--cycle);
draw((5,1)--(5,2));
label("4",(4.5,0.7),N);
label("7",(5.5,0.7),N);
draw((3,3)--(3,4)--(6,4)--(6,3)--cycle);
draw((4,3)--(4,4));
draw((5,3)--(5,4));
label("4",(3.5,2.7),N);
label("5",(4.5,2.7),N);
label("6",(5.5,2.7),N);
draw((7,0)--(7,3)--(8,3)--(8,0)--cycle);
draw((7,1)--(8,1));
draw((7,2)--(8,2));
label("2",(7.5,-0.3),N);
label("5",(7.5,0.7),N);
label("4",(7.5,1.7),N);
draw((8.5,0)--(9.5,0)--(9.5,3)--(8.5,3)--cycle);
draw((8.5,1)--(9.5,1));
draw((8.5,2)--(9.5,2));
label("5",(9,-0.3),N);
label("4",(9,0.7),N);
label("7",(9,1.7),N);
draw((10,0)--(14,0)--(14,4)--(10,4)--cycle);
draw((12,0)--(12,4));
draw((13,0)--(13,4));
draw((11,0)--(11,4));
draw((10,1)--(14,1));
draw((10,2)--(14,2));
draw((10,3)--(14,3));
label("ROW 1",(14,3.5),E);
label("ROW 2",(14,2.5),E);
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<aops>sdfvsdfv</aops>

Bold button.jpeg

<a href="www.aops.com">Aops</a>

123\\456 222\\ 1 222 \\ w )\\) Hmmm

print(3)


Solution

  • skldfj *dfgdfg
  • ksjfls *dfggfd
  • sldjff *dfgfgf


[asy]draw((1/10,10)..(1/3,3)..(1/2,2)..(1,1)..(2, 1/2)..(3,1/3)..(4,1/4)..(5,1/5)..(6,1/6)..(7,1/7));[/asy] [asy] real f(real x) {     return 2x/(x-2); } xaxis(-10,10, Arrows(5));  yaxis(-10,10, Arrows(5));   path g = graph(f,2.5,10); path h = graph(f, -6, 1.5); draw(h, arrow=Arrows(5), p=blue); draw(g, arrow=Arrows(5), p=blue); draw((2,-10)--(2,10), gray+dashed); [/asy] Google Google The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png

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[url=/user/me]Click to check your friend requests[/url]

Problem of the Week

2004 AMC 10A, Problem 25

Three mutually tangent spheres of radius $1$ rest on a horizontal plane. A sphere of radius $2$ rests on them. What is the distance from the plane to the top of the larger sphere?

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test by aops-g5-gethsemanea2 even the code above