MaxWong

Anything times 1000 means adding 3 zeros behind,

Answer is 700 500 000 000 000.

~The smartest cookie in the world.

1. $\sin 60^{\circ} = \dfrac{\sqrt 3}{2}$

2. Area of the triangle = $\dfrac{1}{2}\cdot 12\cdot 8 \cdot \sin65^{\circ}\\ =48 \sin 65^{\circ}\\\approx 43.5\text{cm}^2$

$7\dfrac{1}{2}\times 1\dfrac{1}{2}\\ =\dfrac{15}{2}\times \dfrac{3}{2}\\ =\dfrac{15\times 3}{2\times 2}\\ =\dfrac{45}{4}\\ =11\dfrac{1}{4}$

That's not a joke...... Sorry to point that out......

sec θ = -9/2

cos θ = -2/9

sin θ = sqrt(1 - cos² θ) = $\dfrac{\sqrt{77}}{9}$

cot θ = cos θ / sin θ = $\dfrac{\frac{-2}{9}}{\frac{\sqrt{77}}{9}}$= $\dfrac{-2}{77}\sqrt{77}$

$1/2 + 1/6\\ =2/3$

$1/2 + 1/6 + 1/12\\ =2/3 + 1/12\\ =3/4$

$\therefore 1/2 + 1/6 +...+\dfrac{1}{n^2+n} = \dfrac{n}{n+1}$

Happy birthday Melody, 

Cookies are great, hope you enjoy: 

Area = pi * r^2 = pi * pi^2 = pi^3 (This:$\pi^3$)

polar coordinates are in the form of (r, theta).

r = sqrt(5^2 + 9^2) = sqrt(106)

theta = arctan(9/5) approx = 60.9 degrees

Final answer: (sqrt 106, 60.9 degrees).

Hey you know how tangerine is made?

The God divided singerine by cosgerine!!