Lurker > robrobd

They're insufferable to deal with. Their hardware is overpriced and even their top-of-the-line computers are designed to fail within a year or two, and then try to pass off the "refurbished" products they offer you as being better than new when they're second-hand junk with no warranty and even less expected lifetime. They operate illegally and bully their customers who can't afford to challenge them on it. I can't understand why anyone would want to use an Apple computer.
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Sparkling water is liquid disappointment. There's nothing worse than being offered a glass of water to quench your thirst, only to realise you've been deceived as you suffer the putrid taste of sparkling water.
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K3nnyan posted...

I treated the four corners as coordinates on a grid and then described the two crossing lines as functions.

The line cutting the square in half would be y = 1 - x.
The second line would be y = 2x.

By taking 1 - x = 2x and solving for x I got the x coordinate for the intersection, 1/3.
Put 1/3 into one of the functions to get the y coordinate which turns out to be 2/3.

Draw a line straight down from the intersection and the result is two triangles.
One with the sides 1/3 & 2/3, and one where both sides are 2/3.

The sum of their areas is (1/3 * 2/3)/2 + (2/3 * 2/3)/2 which simplifies to 1/9 + 2/9 which can again be simplified into 1/3.

Edit: It's really fun to see how people solve it using different methods.

Oh thats quite an elegant and straightforward solution, though I wouldnt have thought to approach it that way. I like that.
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Algebraic proof:

Consider the shaded triangle to be x, the left triangle y, the top triangle z, and the area of the square 1.

x+y = 1/2, and y+z = 1/4
By rearranging, we get y = 1/2 - x = 1/4 - z
So 1/4 + z = x

x and z are similar triangles, and the base of z is half the length of the base of x, so the area of x is 4 times the area of z, i.e., x = 4z

Combining the two equations, 1/4 + z = x = 4z
1/4 = 3z
z = 1/12

Plug back in to get y = 1/4 - 1/12 = 1/6,
x = 1/2 - y = 1/2 - 1/6 = 1/3
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Don't know what those maths courses entail (Kiwi here), but I did a maths degree at uni and found it very valuable.
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Ferarri619 posted...

Susanowo posted...

sorry but I don't know which word you are referring to.

Not "cock" but the other C word.

Chicken?
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15: New User
Awarded to users with at least 3 Karma. Can create 10 topics, 75 messages per day. Can now view own posting history.
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Rogue One.
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People who keep their phone brightness high in dark places (like the cinema or at a concert) and blind everyone else as they wave it around.
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