Answer:
1/2
Step-by-step explanation:
if you look at a unit circle, sin(\pi/6) is
so cos of (\pi/6/2) would be \pi/3, and cos of (\pi/3) is 1/2
Answer:
3/8
Step-by-step explanation:
Just subtract 5/8 by 2/8 and you get 3/8
Step-by-step explanation:

Use the identity

on the left side.
![\dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha)](https://tex.z-dn.net/?f=%20%5Cdfrac%7B1%20-%20%5Ccos%20%5B2%28%5Cfrac%7B%5Cpi%7D%7B4%7D%20-%20%5Calpha%29%5D%7D%7B2%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%281%20-%20%5Csin%202%5Calpha%29%20)

Now use the identity

on the left side.


Answer:
The volume of pyramid B is 3.5 times greater than the volume of pyramid A
Step-by-step explanation:
The area of squared based a pyramid is given by:

Where 's' the length of the side of the base and 'h' is the height.
For pyramid A:
h= 100 m
s= 356/4 = 89 m

For pyramid B:
h= 215 m
s= 456/4 = 114 m

Pyramid B has a greater volume and the ratio between volumes is:

Answer:
The answer is d
Step-by-step explanation:
I graphed it
-b/2a to get the vertex
3x^2-12+9
-(-12)/(2)(3)=2
plug in 2 to the function
12-24+9=-3 which is the y value on the graph
(2,-3) is the vertex