Math IIC

<p>I have some questions that need explaining on math iic from the real sat II book.</p>

<p>If you have the book, number 35.</p>

<p>Also, If n distinct planes intersect in a line, and another line L intersects one of these planes in a single point, what is the least number of these n planes that l could intersect? Express answer in terms of n (no choices).</p>

<p>Lastly, The radius of the base of a right circular cone is 6 and the radius of a parallel cross section is 4. If the distance between the base and the cross section is 8, what is the height of the cone?</p>

<p>Please explain!!!!!!</p>

<p>Also, if I got a 45 raw score on this test (and made a VERY stupid error, I had everything right but multiplied by the wrong population of 2 different populatoins) what can I expect on the real thing?????? I will probobly be much more cautious as to things like that!!!!!!!!!</p>

<p>I think it's N - 1...</p>

<p>It is, please explain!! And the others????</p>

<p>The first one is almost impossible to explain, you have to be able to visualize it. Try it with n=3, I did that same problem trying to visualize n=2 but Igot it wrong somehow, but you can visualize the right answer using n=3</p>

<p>As for the second one, apparantly theres some rule about the radius of a cone at parallel planes and the respective heights from the bottom. I didn't know about it myself but just used common sense and guessed the right answer (24). If the height is 0 at r=6, 8 at r=4, then I inferred it would be 16 at r=2, and 24 at r=0 (the tip of the cone).</p>

<p>Hope that helps, btw you'll do fine tomorrow, 45 raw score is already an 800, and you can only do better since you made some careless errors.</p>

<p>first one is ez to explain...</p>

<p>the line L has to go through all planes except 1 because the question assumes these planes to be infinite, and the line to be infinite. the only plane that the line will not intersect is the plane exactly parallel to it.</p>

<p>k first draw teh cone (i'm assuming u can draw the cross sections and the numbers). Then label the height from the cross section to the vertex as x. So the height of the cone is 8+x. Now set up a proportion. 6/(x+8)=4/x. Solve for x and then put it in and u got ur answer.</p>

<p>second one:</p>

<p>x/(8+x) = 4/6</p>

<p>OHHH!!! I read the problem like the radius of cone was 8!!! Now it makes sense! Thanks!!!!!!</p>

<p>What about the first one (not listed but number 35 in book)?</p>