document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86889>Question 86889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.POPULATION\r<BR>\n" );
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document.write( "Suppose each person on the planet stood on a piece of ground that was 3 feet by 3 feet. What are the dimensions of the smallest square piece of land that could hold everyone on the planet? USE SENSIBLE UNITS!\r<BR>\n" );
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document.write( "2.   A large rubber ball was floating in a lake when the lake froze. The ball was carefully removed without breaking the ice, leaving a hole 3 feet 4 inches across and 8 inches deep. What was the radius of the ball? (Answer to the nearest 0.1 inches).\r<BR>\n" );
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document.write( "3. You have 10 barrels of nails. Some of the barrels are full of nails that weigh 1 ounce. The others are full of nails that weigh 1.1 oz. How can you identify which barrels have which kind of nails while using a digital scale only ONE time?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62884 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=62884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.  world population is approx 6.6 billion ... 3 ft by 3 ft is a square yard, so 6.6 billion square yards\r<BR>\n" );
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document.write( "1760yd=1mi ... 6,600,000,000/1760/1760=approx 2131sq mi ... this is a square approx 46.2 mi on a side\r<BR>\n" );
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document.write( "2.  If you picture a circular cross-section of the ball with a diameter going to the center of the bottom of the hole, a triangle formed by the edge of the hole and the ends of the diameter is a right triangle (inscribed in a semicircle).<BR>\n" );
document.write( "  Using the diameter (which is the hypotenuse) as the base of the triangle, the altitude is the radius of the hole (20 inches).<BR>\n" );
document.write( "  This altitude divides the hypotenuse such that the altitude is the geometric mean of the segments ... or 8:40::40:x ... so x=200 ... making the diameter 8+200 or 208 and the radius 104\r<BR>\n" );
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document.write( "3. Take 1 nail from the first barrel, 2 from the next, 4 from the next, etc.; lastly taking 2^9 (512) nails from the 10th barrel\r<BR>\n" );
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document.write( "Weigh the nails and subtract 1023 (2^10-1) from the total\r<BR>\n" );
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document.write( "Multiply this number by 10 to avoid problems with the decimal point\r<BR>\n" );
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document.write( "Convert the resulting amount into binary (1's and 0's) and the barrels will be ordered starting with the rightmost (least significant) digit\r<BR>\n" );
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document.write( "The barrels with the heavier nails will be 1's and the lighter nails will be 0's </SPAN>\n" );
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