Thursday, November 7, 2013

Soal Sahabat: Trigonometri

Nilai dari $\left( \frac{1}{2}+\cos \frac{\pi }{20} \right)\left( \frac{1}{2}+\cos \frac{3\pi }{20} \right)\left( \frac{1}{2}+\cos \frac{9\pi }{20} \right)\left( \frac{1}{2}+\cos \frac{27\pi }{20} \right)$ = ...
PENYELESAIAN:

Wednesday, August 21, 2013

Aturan Sinus, Kosinus dan Tangen

Pada segitiga ABC, misalkan AB = c, BC = a, dan AC = b. berlaku:

Monday, July 22, 2013

Soal Brilliant Ilmu Komputer minggu lalu

1. Waiting in line at Sam's
This text file describes the activity in the line at Sam's ice cream shop yesterday.
When customers enter the line, they are arbitrarily assigned a number. This action is represented by the string "ENTER ###", where ### is the customer number.
When the customer at the front of the line receives their ice cream, they leave the line. This action is represented by the string "LEAVE".

Sunday, July 21, 2013

Soal Brilliant Fisika Minggu Lalu

1. Elementary physics goes boink.
Consider a one dimensional collision between two point masses with different masses m1 and m2 and initial velocities v1 and v2. We define the ratio r as the ratio of the difference in initial velocities to the difference in final velocities:
$\displaystyle r=\frac{|v_{1,i}-v_{2,i}|} {|v_{1,f}-v_{2,f}|}$
What is r if the collision is perfectly elastic?
70 points

Soal Brilliant Olimpiade Matematika untuk 15-21 Juli 2013

Teori Bilangan dan Aljabar
1. Circle inscribed in parabola
The area of a circle centered at the origin, which is inscribed in the parabola y=x2 − 100, can be expressed as $\frac{a}{b}$π, where a and b are coprime positive integers. What is the value of a+b? (125 points)

Friday, July 19, 2013

Soal Brilliant Teori Bilangan dan Aljabar : Jumlah Bilangan-Bilangan Terbalik (Resiprokal) sama dengan 1

Cari banyaknya solusi dari persamaan
$\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{d}=1$
di mana a, b, c, d bilangan bulat positif dan abcd.

Monday, June 10, 2013

Contoh Soal : Rata-Rata Harmonik

Jika dua bilangan mempunyai rata-rata aritmatika 2700 dan rata-rata harmonik 75, berapakah nilai rata-rata geometrinya?