Math Problems

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Re: Math Problems
« Reply #90 on: January 21, 2009, 02:14:21 PM »

Find the value of x, and post your visual proof.

Rules:
You can only use elementary geometry. For instance, the angles of a triangle add up to 180 degrees, or use the basic congruent triangle rules (side-angle-side, et cetera.).  Trigonometry, like using the law of sines, the law of cosines, et cetera is strictly forbidden.

After applying sine theorem to triangles AED and BDE on one hand and ABD and ABE on the other, and making some equalities and a considerable ammount of trigonometry, I finally got a nasty solution for x:

x = 27o 33' 17''

Since it is a nasty result, it means I either made some mistake or you wanted to fuck with us. This problem is impossible to solve without trig.

After revising my calculations, I got x = 20, which means it might be solvable without trig. But, I used trig.
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Raist

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Re: Math Problems
« Reply #91 on: January 21, 2009, 02:33:03 PM »
you also have to use some four sided figures.

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Trekky0623

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Re: Math Problems
« Reply #92 on: January 21, 2009, 02:36:07 PM »

Find the value of x, and post your visual proof.

Rules:
You can only use elementary geometry. For instance, the angles of a triangle add up to 180 degrees, or use the basic congruent triangle rules (side-angle-side, et cetera.).  Trigonometry, like using the law of sines, the law of cosines, et cetera is strictly forbidden.

My solution:
x = 60

Re: Math Problems
« Reply #93 on: January 21, 2009, 02:44:40 PM »

Find the value of x, and post your visual proof.

Rules:
You can only use elementary geometry. For instance, the angles of a triangle add up to 180 degrees, or use the basic congruent triangle rules (side-angle-side, et cetera.).  Trigonometry, like using the law of sines, the law of cosines, et cetera is strictly forbidden.

My solution:
x = 60


You have a mistake. Your second equation should be x + w = 130, which would give a singular matrix, meaning your equations are not independent. You can't just solve it using the sum of the angles in a triangle is 180. You have to use the special values of the angles.
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Trekky0623

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Re: Math Problems
« Reply #94 on: January 21, 2009, 03:38:50 PM »
Damn, I did mess up.

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Wakka Wakka

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Re: Math Problems
« Reply #95 on: January 21, 2009, 04:09:39 PM »
Stupid triangles.
Normally when I'm not sure I just cop a feel.

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ﮎingulaЯiτy

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Re: Math Problems
« Reply #96 on: January 21, 2009, 07:29:50 PM »
Stupid triangles.
Triangles ARE stupid. But we have to beat them at their own game.

@the rest of you. To solve the problem, you will need to draw a few more lines inside the triangle, and the solution has more steps than you probably would expect. Make your working diagram larger.  ;)
« Last Edit: January 21, 2009, 07:34:40 PM by ﮎingulaЯiτy »
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Parsifal

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Re: Math Problems
« Reply #97 on: January 22, 2009, 04:11:27 AM »
After revising my calculations, I got x = 20, which means it might be solvable without trig. But, I used trig.

x is clearly not more than three revolutions.

Anyway, I've always sucked at geometry, it's the only part of maths I've ever had more than a little difficulty with. So, I'll leave this one to others.
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Trekky0623

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Re: Math Problems
« Reply #98 on: January 22, 2009, 06:31:50 AM »
Stupid triangle problem...

I've given up, as even if it is solvable, you can't do it with the lines provided.  So fuck it.

Here's a smart Asian guy who figured it out.

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Colonel Gaydafi

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Re: Math Problems
« Reply #99 on: January 22, 2009, 07:17:48 AM »
Oh wonderful maths geeks, you can figure out things for me that I'm too lazy to figure out myself  :D

I bought a new saucepan, its diameter is 25cm and its height is 11.5cm so can you tell me its capacity in litres please?
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Trekky0623

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Re: Math Problems
« Reply #100 on: January 22, 2009, 08:13:09 AM »
V = πr2h

V = π(12.5 cm)2 * 11.5 cm

V = π * 156.25 cm2 * 11.5 cm

V = 1796.875 cm3π

V ≈ 5645.0493 cm3

1 cm3 = 1 mL

V ≈ 5645.0493 mL

V ≈ 5.6450493 L
« Last Edit: January 22, 2009, 08:14:56 AM by Trekky0623 »

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Colonel Gaydafi

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Re: Math Problems
« Reply #101 on: January 22, 2009, 09:01:39 AM »
Woo thats a whole lotta rice porridge I can fit in there! Cheers Trekky
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Parsifal

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Re: Math Problems
« Reply #102 on: January 22, 2009, 09:24:28 AM »
V = πr2h

V = π(12.5 cm)2 * 11.5 cm

V = π * 156.25 cm2 * 11.5 cm

V = 1796.875 cm3π

V ≈ 5645.0493 cm3

1 cm3 = 1 mL

V ≈ 5645.0493 mL

V ≈ 5.6450493 L


Personally, I would have converted it all to base SI before making the calculations, but whatever floats yer boat.
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Wakka Wakka

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Re: Math Problems
« Reply #103 on: January 22, 2009, 03:19:09 PM »
V = πr2h

V = π(12.5 cm)2 * 11.5 cm

V = π * 156.25 cm2 * 11.5 cm

V = 1796.875 cm3π

V ≈ 5645.0493 cm3

1 cm3 = 1 mL

V ≈ 5645.0493 mL

V ≈ 5.6450493 L


Personally, I would have converted it all to base SI before making the calculations, but whatever floats yer boat.
Pfft, you and your making things more convenient!
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ﮎingulaЯiτy

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Re: Math Problems
« Reply #104 on: January 23, 2009, 05:38:14 PM »
Stupid triangle problem...

I've given up, as even if it is solvable, you can't do it with the lines provided.  So fuck it.

Here's a smart Asian guy who figured it out.

You googled your way out of it.
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AdrianaT5363

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Re: Math Problems
« Reply #105 on: January 23, 2009, 09:47:30 PM »
If I drive my car around a standard track (like for running at schools and parks), how much further does my right tire go than my left tire?
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Robbyj

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Re: Math Problems
« Reply #106 on: January 23, 2009, 09:52:57 PM »
You are missing some info.
Why justify an illegitimate attack with a legitimate response?

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Raist

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Re: Math Problems
« Reply #107 on: January 23, 2009, 10:10:17 PM »
If I drive my car around a standard track (like for running at schools and parks), how much further does my right tire go than my left tire?

How wide is your car?

What part of the track are you on?

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Trekky0623

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Re: Math Problems
« Reply #108 on: January 23, 2009, 11:19:19 PM »
What is the radius of the track?  Is it an oval or a circle?
How wide is the track?
How wide is your car?
Where is your car is respect to the width of the track?

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Raist

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Re: Math Problems
« Reply #109 on: January 23, 2009, 11:24:37 PM »
What is the radius of the track?  Is it an oval or a circle?
How wide is the track?
How wide is your car?
Where is your car is respect to the width of the track?

Well a high school track standard, is a 1/4 mile track.

It has two straight stretches of 100 yards, and two curves of 100 yards.

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Parsifal

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Re: Math Problems
« Reply #110 on: January 24, 2009, 12:46:45 AM »
Well a high school track standard, is a 1/4 mile track.

It has two straight stretches of 100 yards, and two curves of 100 yards.

http://www.google.com.au/search?q=400+yards+in+miles&ie=utf-8&oe=utf-8&aq=t&rls=org.gnu.gnuzilla:en-US:unofficial&client=firefox-a
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Raist

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Re: Math Problems
« Reply #111 on: January 24, 2009, 01:24:42 PM »
Well a high school track standard, is a 1/4 mile track.

It has two straight stretches of 100 yards, and two curves of 100 yards.

http://www.google.com.au/search?q=400+yards+in+miles&ie=utf-8&oe=utf-8&aq=t&rls=org.gnu.gnuzilla:en-US:unofficial&client=firefox-a

fffuuuu I think i meant meters then.

Yeah, i meant meters. The 1/4 mile is just an approximation though.

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ﮎingulaЯiτy

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Re: Math Problems
« Reply #112 on: January 24, 2009, 10:08:33 PM »
Here's an easy one. What number should show up the most often when you roll 8 dice?
« Last Edit: January 24, 2009, 10:11:42 PM by ﮎingulaЯiτy »
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Parsifal

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Re: Math Problems
« Reply #113 on: January 24, 2009, 10:10:01 PM »
Here's one. What number should show up the most often when you roll 8 dice?

All numbers are equiprobable.
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ﮎingulaЯiτy

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Re: Math Problems
« Reply #114 on: January 24, 2009, 10:12:25 PM »
All numbers are equiprobable.
I mean to say which is the most likely sum of the numbers?
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Parsifal

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Re: Math Problems
« Reply #115 on: January 24, 2009, 10:15:42 PM »
I mean to say which is the most likely sum of the numbers?

I can write a program in Python to solve this one. Gimme a few.
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Parsifal

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Re: Math Problems
« Reply #116 on: January 24, 2009, 10:31:43 PM »
It's 28. Here are all the probabilities of every possible sum:

8: 5.95374180765e-07
9: 4.76299344612e-06
10: 2.14334705075e-05
11: 7.14449016918e-05
12: 0.000196473479652
13: 0.000471536351166
14: 0.00101689910075
15: 0.00200522024082
16: 0.00365976508916
17: 0.00623952141442
18: 0.0100070492303
19: 0.0151748971193
20: 0.0218430879439
21: 0.0299401768023
22: 0.0391803840878
23: 0.0490493065082
24: 0.0588307089239
25: 0.0676868998628
26: 0.0747718526139
27: 0.0793562338058
28: 0.0809435013717
29: 0.0793562338058
30: 0.0747718526139
31: 0.0676868998628
32: 0.0588307089239
33: 0.0490493065082
34: 0.0391803840878
35: 0.0299401768023
36: 0.0218430879439
37: 0.0151748971193
38: 0.0100070492303
39: 0.00623952141442
40: 0.00365976508916
41: 0.00200522024082
42: 0.00101689910075
43: 0.000471536351166
44: 0.000196473479652
45: 7.14449016918e-05
46: 2.14334705075e-05
47: 4.76299344612e-06
48: 5.95374180765e-07
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Roundy the Truthinessist

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Re: Math Problems
« Reply #117 on: January 24, 2009, 10:57:12 PM »
28.  I knew that one without all the calculations Robo did.  ;D
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Parsifal

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Re: Math Problems
« Reply #118 on: January 24, 2009, 10:58:25 PM »
28.  I knew that one without all the calculations Robo did.  ;D

My computer did the calculations, not me.
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Roundy the Truthinessist

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Re: Math Problems
« Reply #119 on: January 24, 2009, 11:10:04 PM »
Well I didn't expect you did it all by hand.
Where did you educate the biology, in toulet?