The theater department sold 102 tickets each night,because 2142÷ 3 nights = 714. 714 ÷ 7=102
Answer:
2/4 = 1/2
Step-by-step explanation:
Firstly expand cos(x - 30)....which is..
[cos x.cos 30 + sin x.sin 30]
If sin x = -1/2...then cos x = square root of 3/2
Then substitute the values into the expansion above....which...,
[(square root of 3/2)(square root of 3/2) + (-1/2)(1/2) ]
; 3/4 - 1/4 = 2/4
;Ans = 2/4 = 1/2
Answer:
34.785 units²
Step-by-step explanation:
The area of each triangular section of the hexagon is ...
... A = (1/2)sin(60°)·8²
There are 6 such sections, so their total area (the area of the hexagon) is ...
... 6A = 6·(1/2)·sin(60°)·8² = 3sin(60°)·8² . . . . . hexagon area
The area of the circumscribing circle is ...
... A = πr² = π·8²
The shaded area is the difference between the area of the circle and the area of the hexagon:
... shaded area = π·8² -3sin(60°)·8² = 64(π -3sin(60°))
... shaded area ≈ 34.785 units²
Answer:
5n
Step-by-step explanation:
:)