3 sin ( 2 x ) = 3 cos x
3 · 2 sin x cos x - 3 cos x = 0
6 sin x cos x - 3 cos x = 0 /: 3
2 sin x cos x - cos x = 0
cos x ( 2 sin x - 1 )
cos x = 0,
x 1 = π/2, x 2 = 3π/2;
2 sin x - 1 = 0
2 sin x = 1
sin x = 1/2
x 3 = π/6, x 4 = 5π/6.
<span>y= 2/3x - 4
3y = 2x - 12
</span><span>equivalent to
</span>
<span>B. 2x - 3y = 12
</span>
28A + 17C = 6010
A = 160
28(160) + 17C = 6010
4480 + 17C = 6010
17C = 6010 - 4480
17C = 1530
C = 1530/17
C = 90...so there were 90 children that attended
Formula of volume of a cylinder = πr²h
V = πr²(2)
32π= 2πr²
r² = 16 Divide by 2π
r = 4 Square root both sides
<em>The radius is 4) 4</em>
Answer:
$550
Step-by-step explanation:
In this question, we have to find how much a party would cost for 80 people.
We know that our equation is C = 6.50x + 30
"x" is the amount of people.
To found our answer, we would plug in 80 to "x" to find the total cost.
Solve:
C = 6.50(80) + 30
C = 520 + 30
C = 550
This means that the cost of the party for 80 people would be $550.