Poll

9. What's the next three numbers in this sequence? 1, 12, 124, 1248

12480
12481
12496
124816

Author Topic: Tricky Trivia  (Read 11509 times)

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Offline Eagle

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Re: Tricky Trivia
« Reply #30 on: August 10, 2010, 11:00:53 am »
5 votes for a probability of 75%?
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Offline Oviraptor

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Re: Tricky Trivia
« Reply #31 on: August 10, 2010, 02:29:34 pm »
5. A point, P, is chosen at random inside square ABCD with AB = 1. Find the probablility that all of the angles in triangle PAB are acute.

Votes:

pi/4     - 1 (10%)
3/4    - 5 (50%)
1 - pi/8    - 1 (10%)
1 - pi/4    - 3 (30%)

The winner: 3/4.

The answer: 1 - pi/8.

Score this round: -6

Total score: 19

New question up.

Offline Kenotai

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Re: Tricky Trivia
« Reply #32 on: August 10, 2010, 02:30:31 pm »
I am awesome, I actually got the last one right, and the only one to to boot.
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Offline Oviraptor

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Re: Tricky Trivia
« Reply #33 on: August 10, 2010, 02:32:53 pm »
Yes, but can you show how that's the right answer? :P

Offline Kenotai

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Re: Tricky Trivia
« Reply #34 on: August 10, 2010, 02:38:51 pm »
Well, I figured that anything in a line perpendicular to AB from the center point to AB is the center of obtuse angles.  It's hard to explain, but in my head I just moved the point P around trying to find the boundaries of the obtuse angles.  It came out to be slightly larger than a quarter of the square.
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Offline Oviraptor

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Re: Tricky Trivia
« Reply #35 on: August 10, 2010, 02:40:30 pm »
Ah, so it was still a guess. :P

Also, 1- pi/8 is a little over 60%!

Offline Kenotai

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Re: Tricky Trivia
« Reply #36 on: August 10, 2010, 02:41:17 pm »
No...  I don't know how to calculate it, if that's what you mean.
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Offline Oviraptor

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Re: Tricky Trivia
« Reply #37 on: August 10, 2010, 02:42:33 pm »
Well if anyone ever wants me to show how to get an answer, just say so, and I will.

Offline Kenotai

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Re: Tricky Trivia
« Reply #38 on: August 10, 2010, 02:43:12 pm »
Fine, show us your crazy calcumabobs for the last question.
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Offline Oviraptor

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Re: Tricky Trivia
« Reply #39 on: August 10, 2010, 03:17:50 pm »
Okay then:


This one represents square ABCD. Point P is randomly placed randomly within ABCD.


The circular line shown in this picture represents the line on which angle APB will be a right angle. Anything above the line in the white area and angle APB will be obtuse, anything below and angle APB will be acute. And since obviously any point within the square makes angles ABP and PAB acute, if point P is placed anywhere within the gray shaded area than all the angles on triangle PAB will have only acute angles.

So how do we figure this area out?

Well, AB is 1. So, the area of square ABCD is also 1 (A = 1²). The area for the half circle would be ½pi(½)² = ½pi(¼) = pi(1/8) = pi/8.

Therefore, the area of the gray shaded area would be 1 - pi/8!

Hope that makes sense.

Offline Eagle

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Re: Tricky Trivia
« Reply #40 on: August 11, 2010, 10:21:21 am »
Hurray for advanced maths, that was my guess :D


EDIT: Oh no crap I think I voted for 1-pi/4



Also, what the hell is ftm? Feet the meter?
« Last Edit: August 11, 2010, 10:27:16 am by Eagle »
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Offline Tesla

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Re: Tricky Trivia
« Reply #41 on: August 11, 2010, 10:42:10 am »
No way dude, you're trolling me.

Offline Eagle

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Re: Tricky Trivia
« Reply #42 on: August 11, 2010, 10:49:05 am »
It's obviously Female to male transsexual. I have also calculated everything based on the average length of a female to male transsexual.

This is wrong don't bother clicking it
An average female is 1.65m. This means Zftm = 1.65*10^21
A week is 7 days or 86400 seconds, thus a Mweek = 640800*10^6

This means a cruising speed of 1.65*10^21/86400*10^6 or when worked out 190972222222m/s or 636x the speed of light.

Tau Ceti is 10^16 metres away from Earth, thus distance = velocity*time => time = distance/velocity => time = 190972222222m/s / 100000000000000000m = 0,00000019 of a second.



« Last Edit: August 13, 2010, 06:54:01 am by Eagle »
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Offline Tesla

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Re: Tricky Trivia
« Reply #43 on: August 11, 2010, 10:50:00 am »
SCIENCE
No way dude, you're trolling me.

Offline Eagle

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Re: Tricky Trivia
« Reply #44 on: August 11, 2010, 10:50:41 am »
Also 636x the speed of light is amazing
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