Misaki

Which is oppistie which is adjacent and which is the hyptounuse

Mark them like this O for oppisite A for adjacent and H for hypotonuse.

First solve the indefinite integral

$\int 4-2x dx=4x-x^2+c$

Find boundaries 

$\int_{0}^{a}4-2xd=-(a-4)a-0$

Simplify 

$-(a-4)a$

$-(a-4)a=4$Solve for a

$a^2=8$

$a=\sqrt{8}$

$a=2\sqrt{2}$

The grid is where?

Use binet's formula to find the 1995th term of the series hint: it's the fibonnacia series

so $F(n)=\frac{\phi^n-(-\phi)^n}{\sqrt5}$Let n=1995

$F(1995)=\frac{\phi^{1995}-(-\phi)^{1995}}{\sqrt{5}}$

Let Phi=1.6 $F(1995)=23668326.9616766279790584$ divided by 8 it equals

$=2958540.8702095784973823$

Oh ok thanks!

$\frac{6csc(20)}{13csc(0)-5}=0$

Let's simplify  $6csc(20)=17.5$to 3 significant figures

$csc(0-5)=csc(-5)$

$13csc(-5)=-149$to 3 significant figures

$\frac{17.5}{-149}\neq 0$Maybe if you wrote the whole decimal out it might equal zero but if we're simplifiying to 3 significant figures, it does not equal zero. 

The exact value is -2. 

A ray is a straight line therefore the boundry between the water  and the air will be a semi circle (180 degrees)

Hence the angle of refranction is 180-35=145 degrees.