Answer:
she could purchase 45 student tickets and 30 adult
The formula is V=Bh
You'd get the base (it's a circle so you'd have to do A=pie*radius square)
Once you find the base, you mutliply it by the height
Any complex number
can be written in trigonometric form as
![z = |z| e^{i\arg(z)} = |z| \left(\cos(\arg(z)) + i \sin(\arg(z))\right)](https://tex.z-dn.net/?f=z%20%3D%20%7Cz%7C%20e%5E%7Bi%5Carg%28z%29%7D%20%3D%20%7Cz%7C%20%5Cleft%28%5Ccos%28%5Carg%28z%29%29%20%2B%20i%20%5Csin%28%5Carg%28z%29%29%5Cright%29)
where
is the modulus of
and
is its argument, i.e. the angle
makes with the positive real axis in the complex plane.
We have
![|z| = \sqrt{3^2 + \left(\sqrt3\right)^2} = \sqrt{12} = 2\sqrt3](https://tex.z-dn.net/?f=%7Cz%7C%20%3D%20%5Csqrt%7B3%5E2%20%2B%20%5Cleft%28%5Csqrt3%5Cright%29%5E2%7D%20%3D%20%5Csqrt%7B12%7D%20%3D%202%5Csqrt3)
and
![\arg(z) = \tan^{-1}\left(\dfrac{\sqrt3}3\right) = \tan^{-1}\left(\dfrac1{\sqrt3}\right) = \dfrac\pi6](https://tex.z-dn.net/?f=%5Carg%28z%29%20%3D%20%5Ctan%5E%7B-1%7D%5Cleft%28%5Cdfrac%7B%5Csqrt3%7D3%5Cright%29%20%3D%20%5Ctan%5E%7B-1%7D%5Cleft%28%5Cdfrac1%7B%5Csqrt3%7D%5Cright%29%20%3D%20%5Cdfrac%5Cpi6)
Then
![3 + \sqrt3 \, i = \boxed{2\sqrt 3 \left(\cos\left(\dfrac\pi6\right) + i \sin\left(\dfrac\pi6\right)\right)}](https://tex.z-dn.net/?f=3%20%2B%20%5Csqrt3%20%5C%2C%20i%20%3D%20%5Cboxed%7B2%5Csqrt%203%20%5Cleft%28%5Ccos%5Cleft%28%5Cdfrac%5Cpi6%5Cright%29%20%2B%20i%20%5Csin%5Cleft%28%5Cdfrac%5Cpi6%5Cright%29%5Cright%29%7D)
Answer:
1/12
Step-by-step explanation:
1/4 ÷ 3 = 1/4 x 1/3 = 1/12
Answer:
5
Step-by-step explanation:
Add 1/5 + 3/4. Answer: 19/20 likes sports.