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11-08-2009, 12:51 PM
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#301 | | Junior Member
Join Date: Jul 2007
Posts: 129
| Law of Cosines quetsion
The question which said there was an isosceles triangle with sides 5,10,10 asked you to calculate the largest angle right?
So...
c^2 = a^2 + b^2 - 2abcosine(C)
5^2 = 10^2 + 10^2 - 2(10)(10)cosine(c)
25 - 200 = -2(100)cos(c)
-175/-200 = cos(c)
cos(c) = .875
Do inverse cos(.875) you get = 28.955 deg. which is...the SMALLEST angle. so
180 - 28.955 = 151.044
since its isosceles, divide this angle by 2 to get the largest angle
151.0444/2 = 75.522 degress. Which was an answer i belive. thats what i put. im pretty sure this is right.
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11-08-2009, 01:09 PM
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#302 | | Member
Join Date: Oct 2008
Posts: 736
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Harvard- it wasnt the largest angle, it was the angle between both congruent sides, which was the angle between both 10s which was the smallest ones which was 29.
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11-08-2009, 03:11 PM
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#303 | | Member
Join Date: Apr 2009
Posts: 301
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It was 29, and I did no math. All the answers were 60 degrees or higher except 29, so I picked 29.
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11-08-2009, 03:42 PM
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#304 | | New Member
Join Date: Nov 2009
Posts: 21
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need an approximate score for my 7 skipped and probably none wrong |
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11-08-2009, 03:53 PM
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#305 | | Senior Member
Join Date: Sep 2008
Posts: 1,460
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790-800 blastie
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11-08-2009, 03:55 PM
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#306 | | New Member
Join Date: Jul 2009
Posts: 4
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the answer to the: x^2+k was k<0 not <=0 because when you have a multiplicity of 2, the value does not cross the x-axis. Therefore, all values have to be less than 0. If it were 0, the graph would be touching the x-axis, and not crossing.
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11-08-2009, 04:03 PM
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#307 | | Senior Member
Join Date: Sep 2008
Posts: 1,460
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@hummerd
"The graphical concept of x- and y-intercepts is pretty simple. The x-intercepts are where the graph crosses the x-axis" x- and y-Intercepts
So shoudn't (0,0) which is the x-intercept count as crossing?
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11-08-2009, 04:17 PM
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#308 | | Junior Member
Join Date: Feb 2009
Posts: 130
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I agree with hummerd, but you have to agree that this question is pretty stupid. How does it show understanding of X and Y intercepts?
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11-08-2009, 04:21 PM
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#309 | | New Member
Join Date: Jul 2009
Posts: 4
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I don't think it counts as crossing. It is an x-intercept, no doubt, but the question specifically asks if it crosses the axis and when there is a multiplicity of a zero, it doesn't count as crossing. The equation, y=x^2 has the zeroes 0 and 0 (multiplicity of 2). In Calculus right now, I am learning how to find the maximum and minimum values of a graph just by looking at the derivative. When the graph of the derivative crosses from positive to negative or from negative to positive, you have a relative extrema. But when the graph only touches a certain solution-(0,0) in our case, it has no relative extrema because it is not considered crossing the x-axis. Hopefully someone who has taken calculus knows what I am talking about and I hope I justified my answer enough.
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11-08-2009, 04:28 PM
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#310 | | New Member
Join Date: Mar 2009
Posts: 27
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I have to agree with ^^. Initially, I was convinced I was wrong by the consensus that it was k <= 0, but I do not believe touching to be an intersection.
"x-Intercepts
The roots of a polynomial function correspond to the x-intercepts of its graph.
• If a root has odd multiplicity, the graph crosses the x-axis at the corresponding x-intercept.
• If a root has even multiplicity, the graph touches but does not cross the x-axis at the corresponding x-intercept."
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11-08-2009, 04:30 PM
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#311 | | New Member
Join Date: Nov 2009
Posts: 8
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where would 13 skipped leave me... lol
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11-08-2009, 04:44 PM
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#313 | | New Member
Join Date: Nov 2009
Posts: 8
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o1xDanny - um i'm not being lazy, maybe you're the one being lazy... i had already stated on page 7 that i had looked in the collegeboard book for the official conversion chart, but with the variables of difficulty for each test and the resulting curve, i wanted to know what people's estimates would be this time.
stop being rude BRO.
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11-08-2009, 04:56 PM
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#314 | | New Member
Join Date: Mar 2009
Posts: 27
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With 13 skipped, you're bound to have a couple wrong and the curve difficulty only fluctuates your scores plus/minus 10 while one wrong answer could drop you just as much. An answer from anyone here will simply be a restatement of the conversion chart. Hence, use the chart.
With a username like "loserbich" and comments such as "lol you need to shut up" and "lol", I wouldn`t be accusing other people of being rude. And this imaginary post on page 7, I'd like to see it.
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11-08-2009, 05:00 PM
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#315 | | New Member
Join Date: Nov 2009
Posts: 8
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anyways harvard here i come
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