Spikosauropod
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Re: It can't be true ... can it?
p = 12
legs = 15, 20
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8/23/2018, 9:23 pm
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Spikosauropod
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Re: It can't be true ... can it?
This was much easier than the other, although I started off solving it in a much more difficult way than I had to. It can all be solved with ratio and proportion. Once you see that 16/p = p/9 you are basically done.
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8/23/2018, 9:26 pm
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Exyooper
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Re: It can't be true ... can it?
A square is inscribed in a circle.
A smaller square is drawn. It shares a side with the inscribed square and its other two corners touch the circle.
What is the ratio of the large square's area to the small square's area?
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8/23/2018, 10:05 pm
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Spikosauropod
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Re: It can't be true ... can it?
That was the hardest one of all.
I got 25.
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8/24/2018, 5:48 am
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Exyooper
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Re: It can't be true ... can it?
the hard part was finding the size of the small square in terms of r (radius)
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8/24/2018, 9:02 am
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Exyooper
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Re: It can't be true ... can it?
A right triangle has a hypotenuse equal to 10 and an altitude to the hypotenuse equal to 6.
What is the area of the triangle?
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8/24/2018, 11:02 am
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Spikosauropod
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Re: It can't be true ... can it?
That one is incredibly easy if you realize that 10 is the base of the triangle and 6 is the height. They actually give it away by calling 6 an "altitude".
The area is 30.
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8/24/2018, 12:30 pm
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Exyooper
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Re: It can't be true ... can it?
WRONG! This is a trick question. A right triangle with a hypotenuse of 10 can have an altitude (to that hypotenuse) of at most 5.
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8/24/2018, 12:49 pm
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Spikosauropod
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Re: It can't be true ... can it?
Aha! I was not looking for something like that.
Alas, I am a math teacher, and not an engineer. If an engineer misses something like that, it could be tragic.
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8/24/2018, 1:32 pm
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Exyooper
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Re: It can't be true ... can it?
Here is a killer problem (with an eloquent solution)
Take an equilateral triangle and pick a random point inside.
Draw from each vertex a line to the random point. Two of the three angles at the random point are known, let's say x and y.
If the 3 line segments from each vertex to the random point were removed out of the original triangle to form a new triangle, what would the new triangle's angles be in terms of x and y?
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8/24/2018, 2:51 pm
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