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Math Problems!........share It Here!


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tama, 2 Peso din. kasi, for 1 flr, kung may 2 peso ka, bigay mo sa kanya yung half (1 peso) tapos, balik nya rin sukli sa 'yo na 1 peso, so 2 peso uli money mo.

 

this case, kahit ilang milyong floors yun, pa ulit-ulit lng ang sequence.

Edited by ibirp
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thanks for the answer for question #1... eh yung formula pano derive?

 

there's no 'formula' in the real sense you just work backwards..

 

say i'm at the last stop, i have x pesos.

 

I give him half, leaving me with x/2.

 

He gives me 1 peso back, so I have:

x/2 + 1 = the desired 2 pesos.

 

solving, we get x = 2.

 

From the answer we see it doesn't matter how many floors there are.

 

Now, if the answer was not 2 ibang usapan yun, because then you would have to go through the process above 20 times before you worked out the answer.

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thanks for the answer for question #1... eh yung formula pano derive?

 

Let X = money mo sa top floor (in this case 20th)

Let N = number of floors below the top floor (in this case if n=1, youre at the 19th floor)

Total amount of cash at floor N below the top = (2^N)*X + 2 - 2^(N+1) --> try it. Eto yung pera mo bago mo bayaran yung guard.

 

So bale kung 2pesos lang matira sa yo at the top, X = 2. Plugging that into our equation:

(2^N)*2 + 2 - 2^(N+1) = Cash

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this will become (2^(N+1))

 

2^(N+1) + 2 - 2 ^(N+1) = Cash //yung dalawang 2^(n+1) will cancel out

2 = Cash

thus showing that if the money left at the top floor = 2 pesos, the money at any floor below the top floor is equal to 2 pesos.

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A quite simple question:

 

The area of a rectangle is the product of its length and width, or;

 

A=LW

 

How is it derived?

 

I'm not sure if there is a derivation of this. My impression is that this formula is part of the fundamental definition of area itself, and all other formulas for areas are derived from this.

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i wish they could make a common sense theorem in geometry... anyhoo... basically derived from a square. a square is a rectangle with all sides equal and at right angles. the area for a square is basically side squared. so start with a square with an area of one. now figure in a rectangle and any given length or width. start with an example of rectangle with one side hvaing the measure of 1 for width and a measure of 4 for length. so what we do is place those 4 squares in a line... so thats a rectangle with a width of 1 and a length of 4. simply add up the areas of those four squares with an area of 1 and you get 4. so how do you derive 4 from the measure of side with a measure of 1 and a measure of 4? well logice precludes that we can follow the basic measure used by deriving the area of the square which is side squared... or a change in linguistics... side times side. so 1w times 4l equals the area of the 4 squares forming the rectangle.

 

but honestly... this really does not need any explanation at all. seriously.

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