document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163388>Question 1163388</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I have answered these questions but I'm not sure of my answers, can you check them please? thanks!\r<BR>\n" );
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document.write( "1. Given triangle JKL~triangle PQR and KL=3/4QR. Which of the following is true? <BR>\n" );
document.write( "a. The ratio of areas of triangle JKL to PQR is 9/16<BR>\n" );
document.write( "b. Angle K=3/4 of angle Q<BR>\n" );
document.write( "c. The ratio of perimeters of triangle PQR to triangle JKL is 3/4<BR>\n" );
document.write( "d. None of the above \r<BR>\n" );
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document.write( "I'm stuck between b and c\r<BR>\n" );
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document.write( "2. A water glass is shaped like a cylinder with height 9 in. and diameter 4 in. How many times as much water<BR>\n" );
document.write( "can a glass twice as tall and twice as wide hold?\r<BR>\n" );
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document.write( "a.18<BR>\n" );
document.write( "b.4<BR>\n" );
document.write( "c.8 -> my answer<BR>\n" );
document.write( "d.16\r<BR>\n" );
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document.write( "3. A circle with a radius of 8 is placed within a square (the radius of the square is also 8), the square is shaded. Find the probability that a random point is within the shaded region. Express your answer as percent to the<BR>\n" );
document.write( "nearest tenth.\r<BR>\n" );
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document.write( "a.21.5%<BR>\n" );
document.write( "b.27.3%<BR>\n" );
document.write( "c.72.7%<BR>\n" );
document.write( "d.78.5% -> my answer \r<BR>\n" );
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document.write( "4.A rectangle with the dimensions of 10 by 4 is placed within a bigger rectangle with dimensions 6 by 16, the bigger rectangle is shaded. Find the probability that a randomly selected point falls in the shaded region. \r<BR>\n" );
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document.write( "a. 56.0%<BR>\n" );
document.write( "b. 58.3%<BR>\n" );
document.write( "c. 71.4%<BR>\n" );
document.write( "d. 41.7% -> my answer I got 0.4117\r<BR>\n" );
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document.write( "5. Two similar cylinders have heights of 2 cm and 3 cm. What is the ratio of their volumes?\r<BR>\n" );
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document.write( "a. 4/9<BR>\n" );
document.write( "b. 8/27 <BR>\n" );
document.write( "c. 2/3 --> my answer<BR>\n" );
document.write( "d. 1/2  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #787459 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13206)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=787459\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "In similar figures, if the ratio of corresponding linear measurements (scale factor) is a:b, then the ratio of corresponding area measurements is a^2:b^2, and the ratio of corresponding volume measurements is a^3:b^3.<br><BR>\n" );
document.write( "Angles of similar figures are congruent; making a figure larger or smaller while keeping the same shape does not change angles.<br><BR>\n" );
document.write( "So....<br><BR>\n" );
document.write( "1. The scale factor is 3:4<BR>\n" );
document.write( "a. Yes; the ratio of areas is 3^2:4^2 = 9:16<BR>\n" );
document.write( "b. No<BR>\n" );
document.write( "c. Yes; perimeter is a linear measurement<BR>\n" );
document.write( "a and c are both right answers.<br><BR>\n" );
document.write( "2. We're talking volume here; the scale factor is 2:1, so the volume ratio is 8:1<BR>\n" );
document.write( "answer c; you are correct<br><BR>\n" );
document.write( "3. The description is unclear; a square doesn't have a radius, and I don't now where the shading is.  If the figure is a circle inscribed in a square (diameter of circle equal to side of square), then the probability that a random point is INSIDE the circle is the ratio of the areas of the circle and square, which is pi/4 = .7854 = (approximately) 78.5% -- answer c.  But from the description it sounds as if the question asks for the probability that the random point is inside the square but OUTSIDE the circle; that of course would be 1-pi/4 = 21.5%, which is answer a.<br><BR>\n" );
document.write( "4. Again I can't see the shading.  The area of the large rectangle is 96; the area of the small one is 40.  The probability that a random point in the large rectangle is also inside the smaller rectangle is 40/96 which gives answer d, 41.7%.  The question might be asking for the probability that the point in the larger rectangle is NOT inside the smaller rectangle; then of course the answer would be 100%-41.76% = 58.3%, which is answer b.<br><BR>\n" );
document.write( "5. This one is straightforward.  Height is a linear measurement; the scale factor is 2:3.  The ratio of volumes is 2^3:3^3 = 8:27, answer b.<br><BR>\n" );
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