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AddMath Spmnetic!™⚡️
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For any enquiries, please directly ask in our discussion group ✨”
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33 746
guys since tmr u guys have malay exam, lemme send 10 problems as i said, but u guys can try it after exam
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Let x=length of the rectangle
h = height of the rectangle
Black line = h/tan(60°) = (h√3)/3
Using Pythagoras' Theorem,
[(h√3)/3 + x]² + h² = 36
h²/3 + (2xh√3)/3 + x² + h² - 36 = 0
h²(4/3) + [(2x√3)/3]h + (x²-36) = 0
h = [-(2x√3)/3 + √[(4x²/3)-(16/3)(x²-36)]]/(8/3)
h = [-x√3 + 3√(48-x²)]/4
Area of the rectangle, A = xh = x([-x√3 + 3√(48-x²)]/4)
dA/dx = (72-3x²-x√(144-3x²))/(2√(48-x²))
At Maximum, dA/dx = 0
(72-3x²-x√(144-3x²))/(2√(48-x²)) = 0
72-3x²-x√(144-3x²) = 0
=> x=-6 or x=2√3
Max A = 6√3
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Answer
now U have 1000 bottles kan
So U number all the bottles 1 to 1000 and make it to binary digits
So Ur 1st bottle is numbered as 0000000001
2nd bottle is 000000010
The 000000011
Then 000000100
Like that
Ok now there are 10 rats kan
So if let's say rat1 U need to feed wine with all the bottles that have 1 at the 10th digit, 2 Nd rat should drink from all the wine bottles that have 1 in 9th place mcm tu, So at the end since 2 to the power of 10 is 1024 and it's lesser than 1000, U can find which bottle is poisoned based on which rats died..
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Guys actually I am just form 4 now, but my father asks me many different types of questions, these weird questions are my father's questions, if U know how to do these, it proves you can do hots questions..
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Bayangkan U adalah raja sebuah negara, dan dalam masa 24 jam, U mengadakan acara dengan 1000 tetamu, dan U menyediakan 1000 botol wain untuk tetamu, tetapi orang jahat meracuni 1 botol wain, jadi sekarang U mempunyai 10 ekor tikus untuk mengetahui yang manakah wain beracun, Anda boleh menyuapkan setitik wain kepada tikus-tikus itu, sebotol wain dan tin yang tepat dapat dibuang... ia, anda tidak boleh membuang semua botol wain, dan bahagian yang terbaik ialah tikus akan mati dalam masa 24 jam setelah minum racun..
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Imagine U are a king of a country, and in 24 hours,U have an event with 1000 guests, and U prepared 1000 bottle of wine for the guests, but a bad guy poisoned 1 of the wine bottles, so now U have 10 rats to find out which is the poisoned wine, U can feed a drop of wine to the rats, rats can drink from multiple bottle of wines... U should find the exact bottle of wine and throw it, U can't throw all the bottles of wines, and the next part is the rat will die in 24 hours once drank the poison..
