document.write( "Question 557522: The manager of a sandwich shop is planning to make a circle graph showing the types of sandwiches sold in one day. The table below summarizes these data.
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\n" ); document.write( "Sandwiches Sold in One Day
\n" ); document.write( "Roast beef
\n" ); document.write( "195
\n" ); document.write( "Turkey-and-cheese
\n" ); document.write( "125
\n" ); document.write( "Ham-and-cheese
\n" ); document.write( "75
\n" ); document.write( "Vegetable
\n" ); document.write( "50
\n" ); document.write( "Other
\n" ); document.write( "55
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\n" ); document.write( "What central angle should the manager use for the section representing the ham-and-cheese sandwich?
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Algebra.Com's Answer #362671 by neatmath(302)\"\" \"About 
You can put this solution on YOUR website!

Without actually drawing the graph, we can find this answer.
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\n" ); document.write( "\n" ); document.write( "Add up the total amount of sandwiches sold:
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\n" ); document.write( "\n" ); document.write( "\"195%2B125%2B75%2B50%2B55=T\"
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\n" ); document.write( "\n" ); document.write( "\"T=500\"
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\n" ); document.write( "\n" ); document.write( "Conveniently, the store sold 500 sandwiches.
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\n" ); document.write( "\n" ); document.write( "Now we just need to compare the number of ham and cheese sandwiches sold (75),
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\n" ); document.write( "\n" ); document.write( "to the total number of sandwiches sold (500) to get a ratio:
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\n" ); document.write( "\n" ); document.write( "\"R=75%2F500\"
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\n" ); document.write( "\n" ); document.write( "\"R=3%2F20\"
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\n" ); document.write( "\n" ); document.write( "Now, since a circle has a total of 360 degrees in it, if we multiply our ratio R by 360,
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\n" ); document.write( "\n" ); document.write( "we will know the measure of the central angle that the ham and cheese sandwiches should have on the graph.
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\n" ); document.write( "\n" ); document.write( "\"A=360%2AR\"
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\n" ); document.write( "\n" ); document.write( "\"A=360%2A%283%2F20%29\"
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\n" ); document.write( "\n" ); document.write( "\"A=54\"
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\n" ); document.write( "\n" ); document.write( "So the ham and cheese central angle on the graph should be 54 degrees.
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\n" ); document.write( "\n" ); document.write( "If we were using radians, of course we would have a different answer, but the process would be exactly the same.
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\n" ); document.write( "\n" ); document.write( "We would just need to multiply our ratio R by \"2%2Api\"
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\n" ); document.write( "\n" ); document.write( "\"A=2%2Api%2AR\"
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\n" ); document.write( "\n" ); document.write( "\"A=2%2Api%2A%283%2F20%29\"
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\n" ); document.write( "\n" ); document.write( "\"A=%283%2Api%29%2F10\" which would be the exact answer in radians.
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\n" ); document.write( "\n" ); document.write( "I hope this helps! :)
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\n" ); document.write( "\n" ); document.write( "Email Scott King: neatmath@yahoo.com for help with specific problems,
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\n" ); document.write( "\n" ); document.write( "or to inquire about low-cost mathematics tutoring via email or other methods.
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\n" ); document.write( "\n" ); document.write( "Paypal is always accepted for detailed assistance with single problems.
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\n" ); document.write( "\n" ); document.write( "Single problems would range from 50 cents to 5 dollars each, depending on their complexity.

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