MaTematiKa iLmu paSti ???

Perhatikan kedua gambar diatas, dua buah gambar yang berbeda kan ? Dua buah gambar yang berbeda biasanya memiliki luas yang berbeda, kecuali jika 2 buah bangun yang berbeda seperti diatas terdiri dari 4 buah bangun yang sama bentuk dan ukuran nya. Jadi seharusnya kedua gambar diatas memiliki luas yang sama donk, secara merupakan susunan dari bangun2 yang sama. Namun nyatanya dua bangun diatas mempunyai luas yang berbeda lho. . .!

Kedua bangun diatas dibuat dari 4 buah bangun, yaitu 2 buah segitiga dan 2 sebuah segiempat. Mari kita cari tau dulu luas dari masing2 bangun pembentuk gambar. Untuk mencari luas bangun segitiga (nomor 3 & 4) dihitung dengan rumus Luas=alas*tinggi/2. Yaitu 8*3/2 = 12. Untuk menghitung bangun segi4 (1 & 2) dengan rumus L=(jml sisi sejajar)*tinggi/2, jika dimasukkan ke rumus adalah (5+3)*5/2 = 20. Jadi jumlah dari semua bangun adalah (12+12+20+20) = 64.

Untuk gambar 1, luasnya dihitung dengan rumus Luas=sisi*sisi => 8*8 = 64.
Untuk gambar 2, cara menghitung luas dengan rumus Luas=Panjang*lebar => 13*5 = 65

Loh kok beda ? Luas gambar 1 sesuai dengan jumlah masing2 bangun pembentuk gambar yaitu 64. Tapi gambar 2, luasnya 65. Bukankah gambar 2 juga dibentuk oleh bangun yang sama, kok bisa kelebihan 1 ? Jika kita menghitung satu persatu luas gambar 2 perbagian, maka jumlahnya adalah 64. Tapi jika dihitung keseluruhan, luasnya adalah 65.

Selama ini yang pernah saya tau, matematika adalah ilmu pasti. Tapi masa setelah ganti posisi dikit aja udah berubah sih hasilnya. Posisi menentukan hasil akhir, itu hanya ada pada saat ujian. Posisi menentukan jenis kelamin calon bayi, akh itu cuman hoax. Tapi dalam matematika yang sudah mempunyai rumus baku, seharusnya walopun bangun itu dipecah menjadi bentuk apa aja tetap ngga berubah donk Luasnya.

Hmm... mungkin sudah banyak yang tau dibalik misteri bangun segiempat ini. Tapi jujur saja saya masih bingung, dan semakin saya cari tau semakin pusing.
Betapa ngga’ bergunanya saya, sudah bertahun2 belajar matematika namun dipusingkan oleh masalah seperti ini.
Apakah rumus mencari luas persegi panjang telah berubah ?
Apakah ada yang salah dalam perhitungan saya ?
Apakah ada yang salah pada gambarnya ?
Apakah saya perlu belajar matematika lagi ?
Apakah saya harus kembali ke bangku sekolah ?

Mungkin saya perlu bantuan ahli matematika untuk menjelaskan hal ini. . . atau ada yang tau tentang hal ini ?

sumber : http://funk.shit.la/

Download OST. Ayat Ayat Cinta The Movie

Track List :

1. Rossa - Ayat-Ayat Cinta
2. Sherina - Jalan Cinta
3. Rossa - Takdir Cinta
4. Ungu - Tercipta Untukku Ft. Rossa
5. Ungu - Andai Ku Tahu
6. Music Scoring - Opening Scene
7. Music Scoring - Letter From Noura
8. Music Scoring - Thalagi
9. Music Scoring - The Basket
10. Minus One - Ayat-Ayat Cinta
11. Minus One - Jalan Cinta
12. Minus One - Takdir Cinta

Download Rapidshare Links :

http://rapidshare.com/files/80682181/01_-_Rossa_-_Ayat-Ayat_Cinta.mp3
http://rapidshare.com/files/80682185/02_-_Sherina_-_Jalan_Cinta.mp3
http://rapidshare.com/files/80682189/03_-_Rossa_-_Takdir_Cinta.mp3
http://rapidshare.com/files/80682196/04_-_Ungu_-_Tercipta_Untukku__Ft._Rossa_.mp3
http://rapidshare.com/files/80682199/05_-_Ungu_-_Andai_Ku_Tahu.mp3
http://rapidshare.com/files/80682206/06_-_Music_Scoring_-_Opening_Scene.mp3
http://rapidshare.com/files/80682209/07_-_Music_Scoring_-_Letter_From_Noura.mp3
http://rapidshare.com/files/80682214/08_-_Music_Scoring_-_Thalagi.mp3
http://rapidshare.com/files/80682216/09_-_Music_Scoring_-_The_Basket.mp3
http://rapidshare.com/files/80682217/10_-_Minus_One_-_Ayat-Ayat_Cinta.mp3
http://rapidshare.com/files/80682220/11_-_Minus_One_-_Jalan_Cinta.mp3
http://rapidshare.com/files/80682226/12_-_Minus_One_-_Takdir_Cinta.mp3

Kaoru Amane - Taiyou no Uta

furuete iru watashi no te ni hajimete kimi ga furete
Having touched my quivering hands for the first time
yasashii kimochi atataka sa ni yatto kizuitanda
I've finally became aware of your warmth and gentle feeling
tozashita mado akereba atarashii kaze ga fuita
If the tightly shut window were opened, a new wind would blow

waratte naite kimi to deaete
smiling, crying, meeting you by chance
mieru sekai wa kagayaki dashita
The world I could see was radiant
himawari yureru taiyou no shita de
A sunflower swaying beneath the sun
kanjite ita kaze wo hibi wo...
Having felt the breeze, every day...

shinjiru koto mayou koto mo tachidomaru koto mo zenbu
Beliefs, hesitation, and standing still, all this
watashi ga ima koko de ikiteru kotae kamoshirenai
Me, living here now, might be the answer
monokuro no mainichi ga irozuite iku you ni
Just like adding color to monochrome days

waratte naite kimi to deaete
Smiling, crying, meeting you by chance
tsuzuku mirai wa kagayaite ita
The continuous future has sparkled
himawari yureru taiyou no shita de
A sunflower swaying beneath the sun
watashi no mama ashita wo utau yo...
as I have been, tomorrow I'll sing...

kagiri ni nai hibi mo
Days without end
tomaranai jikan mo
and time that never stops
dore na ke aiseru kana
How much can we love?
aiseru yo ne
We can love, right?
kimi ga ireba futari sae mo
If you are here, only us two...
sorasanaide...
don't turn away...

waratte naite kimi to deaete
Smiling, crying, meeting you by chance
tsuzuku mirai wa kagayaite ita
The continuous had sparkled
himawari yureru taiyou no shita de
A sunflower swaying beneath the sun
watashi no mama ashita wo
As I have been, tomorrow...

arigatou tsutaetai ima nara ieru yo
Right now, I want to tell you "Thank you"
sugoshita kisetsu mo wasure wa shinai yo
I won't forget seasons that has since past.
himawari yureru taiyou no you ni
A sunflower swaying beneath the sun
watashi no uta kimi wo terasu yo...
My song will shine for you...

watashi no mama...
As I have been...
kimi o....
Thinking of you...
kimi o....
Thinking of you...

Eminem - Like Toy Soldier

Lyric of this song:


Step by step... heart to heart... left right left
We all fall down

CHORUS
Step by step, heart to heart, left right left
We all fall down, like toy soldiers
Bit by bit, torn apart, we never win
But the battle wages on, for toy soldiers

I'm suppose to be the soldier who never blows his composure
Even though I hold the weight of the whole world on my shoulders
I ain't never suppose to show it, my crew ain't suppose to know it
But if it means going toe to toe with the Benzino, it don't matter
I'd never drag 'em in battles that I can handle 'less I absolutely have to
I'm suppose to set an example, I need to be the leader
My crew looks for me to guide 'em
If some shit ever just pop off I'm suppose to be beside 'em
Now Ja said I tried to squash it, it was too late to stop it
There's a certain line you just don't cross and he crossed it
I heard him say Hailie's name on a song and I just lost it
It was crazy, this shit be way beyond some Jay-Z and Nas shit
And even though the battle was won, I feel like we lost it
I spent too much energy on it, honestly I'm exhausted
And I'm so caught in it I almost feel I'm the one who caused it
This ain't what I'm in hip hop for, it's not why I got in it
That was never my object for someone to get killed
Why would I wanna destroy something I help build
It wasn't my intentions, my intentions were good
I went through my whole career without ever mentionin' [Suge]
Now it's just out of respect, for not runnin' my mouth
And talkin' about something that I knew nothing about
Plus Dre told me stay out, this just wasn't my beef
So I did, I just fell back, watched and gritted my teeth
While he's all over TV, down talkin' a man who literally saved my life
Like "fuck it I understand" this is business
And this shit just isn't none of my business
But still knowin' this shit could pop off at any minute 'cause...

Chorus
Step by step, heart to heart, left right left
We all fall down, like toy soldiers
Bit by bit, torn apart, we never win
But the battle wages on, for toy soldiers

There used to be a time when, you could just say a rhyme
And wouldn't have to worry about one of your people dyin'
But now it's elevated 'cause once you put someone's kids in it
The shit gets escalated, it ain't just words no more is it?
It's a different ball game, callin' names and you ain't just rappin'
We actually tried to stop the 50 and Ja beef from happenin'
Me and Dre had sat with him, kicked it and had a chat with him
And asked him not to start it he wasn't gonna go after him
Until Ja started yappin' in magazines how we stabbed him
Fuck it 50 smash 'em, mash 'em and let him have it
Meanwhile my attention is pullin' in other directions
Some receptionist at The Source who answers phones at his desk
has an erection for me and thinks that I'll be his resurrection
Tries to blow the dust off his mic and make a new record
But now he's fucked the game up 'cause one of the ways I came up
Was through that publication the same one that made me famous
Now the owner of it has got a grudge against me for nothin'
Well fuck it, that motherfucker could get it too, fuck him then
But I'm so busy being pissed off I don't stop to think
That we just inherited 50's beef with Murder Inc.
And he's inherited mine which is fine ain't like either of us mind
We still have soldiers that's on the front line
That's willing to die for us, as soon as we give the orders
Never to extort us, strictly to show they support us
We'll maybe shout 'em out in a rap or up in a chorus
To show them we love 'em back and let 'em know how important it is
to have Runyon Avenue soldiers up in our corners
Their loyalty to us is worth more than any award is
But I ain't tryna have none of my people hurt and murdered, it ain't worth it
I can't think of a perfecter way to word it
Then to just say that I love y'all too much to see the verdict
I'll walk away from it all 'fore I let it go any further
But don't get it twisted, it's not a plea that I'm coppin'
I'm just willin' to be the bigger man
If y'all can quit poppin' off at your jaws with the knockin'
'cause frankly I'm sick of talkin'
I'm not gonna let someone else's coffin rest on my conscience 'cause...

Chorus
Step by step, heart to heart, left right left
We all fall down, like toy soldiers
Bit by bit, torn apart, we never win
But the battle wages on, for toy soldiers

Ku Cinta Kau Apa Adanya (Aku Mau)

Kau boleh acuhkan diriku
Dan anggap ku tak ada
Tapi takkan merubah perasaanku kepadamu

Kuyakin pasti suatu saat
Semua kan terjadi
Kau kan mencintaiku
Dan tak akan pernah melepasku

Aku mau mendampingi dirimu
Aku mau cintai kekuranganmu
Selalu bersedia bahagiakanmu
Apapun terjadi
Kujanjikan aku ada

Kau boleh jauhi diriku
Namun kupercaya
Kau kan mencintaiku
Dan tak akan pernah melepasku

Aku mau mendampingi dirimu
Aku mau cintai kekuranganmu
Aku yang rela terluka
Untuk masa lalu

By Once