April 2012 Math Discussion

<p>^yessssssssssssss</p>

<p>@above - yeah, 1/2 the area of the rectangle.</p>

<p>we have area = wh (width * height)
smaller triangles are
(1/2)(3w/5<em>h) and (1/2)(2w/5</em>h)
so it’s 3wh/10 + 2h/10 = 5wh/10 = (1/2)(wh)
(wh/2)/(wh) = 1/2</p>

<p>that one took me a while to figure out how to do lol</p>

<p>So far I’ve only missed one - the rectangle and triangle one.</p>

<p>35/36! Keep it goin’ :)!</p>

<p>does anybody know if the correct answer for the wheelbarrow question was A?? because i remember putting A but i dont recall if that was 3/2 or 3/4 though i know now the answers 3/4</p>

<p>The answer was C: 3/4</p>

<p>For all the people who struggled with the triangle-in-rectangle problem, just remember:</p>

<p>Triangle Area = (1/2)bh
Rectangle Area = wh</p>

<p>if h<em>triangle = h</em>rectangle AND b = h then the Triangle area MUST be 1/2 the rectangle area.</p>

<p>No calculation at all was required to do that problem.</p>

<p>i don’t think i’ve gotten any wrong so far…hopefully it stays that way. i guessed completely on the pyramid one and put 48 what a lucky guess! im pretty sure its the right answer now</p>

<p>this made me the happiest person today. I went from thinking I got like a 29-30 on math to like a 32-33. i guessed correctly some of the hardest ones… woo!</p>

<p>I am so mad that I screwed up on the even numbers thing form 2-50!!!</p>

<p>Another math question: there was a problem involving two parallel lines cut by a tranversal. The question was “which of these does.not necessarily have to be true in order for the two lines to be parallel?” Anyone remember their answer?</p>

<p>I don’t remember what choice was correct but 3 out of the 4 choices showed congruent angles on the parallel lines.</p>

<p>The choice you should have picked had two angles that could not possibly be the same because they would add to be 180.</p>

<p>There were five choices. And I could swear that two of the choices added up to 180 each and the other three were equal!</p>

<p>You’re right, it was 5 choices but only one could have been correct. The problem was exactly what is depicted here:</p>

<p>[Building</a> Blocks - Classifying Angles - First Glance](<a href=“Building Blocks - Classifying Angles - First Glance”>Building Blocks - Classifying Angles - First Glance)</p>

<p>Wow, thanks for the link! But still, I’m not quite sure I get it: which two angles in the picture do not necessarily make the two lines parallel?</p>

<p>USAMO qualifier here so i guess i have some credibility :wink:
I agree with the commonly discussed answers, but i’ll list a few of mine for the one it seems ppl are still unsure of:
-(a+b)/2 (See college95, post #78 for a great explanation)
Centers: (-3,3) and (-3,-3)
+64 for the geometric sequence
4/25=16%
THe last one: the contrapositive of “If raining, then canceled” is “If not canceled, then not raining”
If you want an explanation, consider if its not canceled. Then it is either raining or not raining. But if its raining, it should be cancelled, contradiction. So its not canceled → not raining.
LCD problem was (4)(x-2)(x+2), although when i first got my answer i had to double check because i was expecting the numerator to cancel with the denominator
I was also reading the triangle one as a trick question…the area of a triangle formula is defined as half the rectangle with same base and height…
I forgot the equation with a, x, and y solve for a, but i think i put 2/5 (I can’t remember question though)</p>

<p>the parallel lines question was definitely angles 1 and 7.</p>

<p>yeah, it was 1 and 7, they were alternate exterior which isnt a rule. there is alternate interior, corresponding interior, and the one where the top left outside can match up with the bottom left inside (cant remember the term)</p>

<p>What was the one with the picture of the garden thing and it siad how long will the guy need without his garden or something like that</p>

<p>did angles 1 and 7 add up to 180? i dont remember what i put for this one. all i remember is that i saw that four of the choices had equal angles and the other choice had ones that added up to 180 so i think i picked that one…</p>

<p>Does anyone remember the one about some shapes and one of the answers was 2 sq root of 10?</p>