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Subject: Step-By-Step
Date: Sat, 25 Jul 2009 09:08:13 -0400
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<H3>EasyWorksheet Step By Step Answers</H3>User Name: M. Travitz<BR>Form =

#1673389&nbsp;
<DIV class=3Dhide><FONT color=3Dwhite size=3D1>By Easy =
Worksheet</FONT></DIV><INPUT=20
value=3Dmtravitz type=3Dhidden>
<P><FONT size=3D3>
<H3>Practice Problems</H3><B>1)</B> <B><NOBR>
<TABLE border=3D0 cellSpacing=3D0 cellPadding=3D0 width=3D198 =
height=3D124>
  <TBODY>
  <TR>
    <TD vAlign=3Dcenter =
background=3Dhttp://www.easyworksheet.com/vert.GIF=20
    align=3Dmiddle>1 &nbsp; &nbsp; &nbsp; &nbsp;=20
2</TD></TR></TBODY></TABLE></B><BR>Since these are across from each =
other, these=20
are Vertical Angles. They are the equal to each other.
<HR color=3D#000000>
 <BR><B>2)</B> <B><IMG alt=3Dangle =
src=3D"http://www.easyworksheet.com/angle.gif">D=20
and <IMG alt=3Dangle src=3D"http://www.easyworksheet.com/angle.gif">Y =
are=20
supplementary. <NOBR>m<IMG alt=3Dangle=20
src=3D"http://www.easyworksheet.com/angle.gif">D =3D 49=B0</NOBR>. What =
is <NOBR>m<IMG=20
alt=3Dangle=20
src=3D"http://www.easyworksheet.com/angle.gif">Y?</NOBR></B><BR><BR>Suppl=
ementary=20
means that the angles sum to 180=B0. <BR>So we get 180 - 49 =3D=20
131=B0</TD></TR></TABLE></NOBR>
<HR color=3D#000000>
 <BR><B>3)</B> <B><NOBR>
<TABLE border=3D0 cellSpacing=3D0 cellPadding=3D0 width=3D198 =
height=3D124>
  <TBODY>
  <TR>
    <TD vAlign=3Dcenter =
background=3Dhttp://www.easyworksheet.com/vert.GIF=20
    align=3Dmiddle>x &nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp;=20
159=B0</TD></TR></TBODY></TABLE></B><BR>Since these are vertical angles, =
we set x=20
equal to 159=B0:<BR>x =3D 159=B0
<HR color=3D#000000>
 <BR><B>4)</B> <B><NOBR>
<TABLE border=3D0 cellSpacing=3D0 cellPadding=3D0 width=3D198 =
height=3D124>
  <TBODY>
  <TR>
    <TD vAlign=3Dcenter =
background=3Dhttp://www.easyworksheet.com/vert.GIF=20
    align=3Dmiddle>x
      <P>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;=20
      43=B0<BR><BR><BR></P></TD></TR></TBODY></TABLE></B><BR>Since these =
create a linear=20
pair, we know that x and 43=B0 are supplementary:<BR>x + 43=B0 =3D =
180=B0<BR>Let's=20
calculate 180=B0 - 43=B0 =3D 137=B0<BR>So we end up with x =3D 137=B0
<HR color=3D#000000>
 <BR><B>5)</B> <B><IMG alt=3Dimage=20
src=3D"http://www.easyworksheet.com/graphs/da1.GIF"><BR>Find the volume =
of the=20
right cylinder with a radius of 13 and height of 7.</B><BR>To find the =
volume,=20
we use the formula:<BR>V =3D Bh =3D &#960;r<SUP>2</SUP>h<BR>Remember: B =
=3D area of the=20
base<BR>V =3D &#960;(13)<SUP>2</SUP>(7)<BR>So we get =
3716.5.</TD></TR></TABLE></NOBR>
<HR color=3D#000000>
 <BR><B>6)</B> <B><IMG alt=3Dimage=20
src=3D"http://www.easyworksheet.com/graphs/da13.GIF"><BR>Find the volume =
of the=20
sphere with a diameter of 30.</B><BR>To find the volume, we use the=20
formula:<BR>V =3D <SUP>4</SUP>/<SUB>3</SUB>&#960;r<SUP>3</SUP><BR>To =
find the radius,=20
simply divide the diameter by 2. So we get 15 for our radius.<BR>V =3D=20
<SUP>4</SUP>/<SUB>3</SUB>&#960;(15)<SUP>3</SUP><BR>So we get=20
14137.17.</TD></TR></TABLE></NOBR>
<HR color=3D#000000>
 <BR><B>7)</B> <B>
<TABLE border=3D1 cellSpacing=3D0 cellPadding=3D0>
  <TBODY>
  <TR>
    <TD align=3Dmiddle><B>x</B>&nbsp;&nbsp;
      <HR>
      7<BR>1<BR>7<BR>2
      <P></P></TD>
    <TD align=3Dmiddle><B>&nbsp;y</B>
      <HR>
      2<BR>-2<BR>-3<BR>0
      <P></P></TD></TR></TBODY></TABLE></B><BR>We cannot have x-values =
repeat for it=20
to be a function.<BR>In this case, the answer is: No because 7 is a =
repeated=20
value.
<HR color=3D#000000>
 <BR><B>8)</B> <B><IMG alt=3DElli+1.+0.+1.+0.gif=20
src=3D"http://www.easyworksheet.com/graphs/Elli+1.+0.+1.+0.gif"></B><BR>I=
f we can=20
run a pencil along the picture (vertically) and see two dots over each =
other at=20
any time, the answer is a no.<BR>In this case, the answer is: No because =
of the=20
vertical line test
<HR color=3D#000000>
 <BR><B>9)</B> <B>Find the domain: <BR>{(-4,0), (5,3), (3,2), =
(6,8)}</B><BR>In=20
order to find the domain, we simply list out the x-values without =
repeating=20
values.<BR>In this case, the answer is: =
{-4,3,5,6}</TD></TR></TABLE></NOBR>
<HR color=3D#000000>
 <BR><B>10)</B> <IMG alt=3DGraph=20
src=3D"http://www.easyworksheet.com/graphs/Para-1.+0.-3.gif"><BR>To find =
the=20
domain, we simply need to look at the "shadow" that the graph would make =
on the=20
x-axis. Remember this shadow comes down from above the graph and goes up =
from=20
below.
<P>This is a parabola.<BR>In this case, the shadow is the whole line, so =
the=20
domain is all real numbers.</TD></TR></TABLE></NOBR> <BR>
<P><FONT size=3D1>All rights reserved. This page is copyright 1998 =
Triple Threat=20
Inc. Any violators will be prosecuted through full extent of the law.=20
</FONT></P></FONT></BODY></HTML>

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