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:
$29,750
Step-by-step explanation:
Area (pavement) = 2 x 3.5(50 + 35)
= 7 x 85
= 595 sq. m.
Cost
= 400 per 8. sq. m.
= 50 per sq. m.
=> 595 x 50
=> $29.750
Answer: 53
Steps:
Multiply to do 1/2x64+21
Reduce the numbers to get 32+21
Add to get 53!
Answer:
9 yards
Step-by-step explanation:
because all angles on this are right angles, we know that the line that is 16 yards is not only parallel to the 7 yards line but also the ? line which we can name x.
that means that x+ the 7 the 7 yard line must be equal to the length of the 16 yard line.
so we can set up the expression
x+7=16
subtract 7 from both sides
x=9