document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37635>Question 37635</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130289558/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Three Questions:\r<BR>\n" );
document.write( "\n" );
document.write( "1. Find the area of the segment of a circle whose radius is 10inches, formed by a central angle of 80 degrees.\r<BR>\n" );
document.write( "\n" );
document.write( "2. The sides of a parallelogram are 4 cm and 6 cm. One angle is 55 degrees. Find the lengths of the diagonal of the parallelogram.\r<BR>\n" );
document.write( "\n" );
document.write( "3. Two factories blow their whistles at exactly 5:00 pm/ A man hears the two blasts at 3 seconds and 6 seconds after 5:00, respectively. The angle between his lines of sight to the factories is 42.2 degrees. If sound travels 344 meters per second, how far apart are the factories? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23250 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=23250\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Find the area of the segment of a circle whose radius is 10inches, formed by a central angle of 80 degrees. <BR>\n" );
document.write( "Area of circle = (pi)10^2 = 100pi sq in<BR>\n" );
document.write( "Area of segment = (80/360)100pi= (2/9)100pi=69.81..sq. in.\r<BR>\n" );
document.write( "\n" );
document.write( "2. The sides of a parallelogram are 4 cm and 6 cm. One angle is 55 degrees. Find the lengths of the diagonal of the parallelogram.<BR>\n" );
document.write( "Draw the picture. Use the Law of Cosines to get:<BR>\n" );
document.write( "diagonal^2 = 4^2+6^2-2(4)(6)Cos(55 degrees)<BR>\n" );
document.write( "Then take the square root to get diagonal.<BR>\n" );
document.write( " <BR>\n" );
document.write( "3. Two factories blow their whistles at exactly 5:00 pm/ A man hears the two blasts at 3 seconds and 6 seconds after 5:00, respectively. The angle between his lines of sight to the factories is 42.2 degrees. If sound travels 344 meters per second, how far apart are the factories?<BR>\n" );
document.write( "Draw the picture, then use the Law of Cosines to get:<BR>\n" );
document.write( "distance^2=[3(344)]^2 =[6(344)]^2-2(3(344)(6(344))Cos(42.2 degrees)<BR>\n" );
document.write( "Then take the square root to get the distance.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );