2cosx=2sin2x. Sin2x is an identity for 2sinxcos. So 2[2sinxcosx] gives you 4sinxcosx. 2cosx=4sinxcosx. Divide 2cosx on both sides and gives you 2sinx=0 and divide again, sinx=0. Sinx is 0 at 0 and 360 degrees, or pi and 2pi. So thats what x would be. 0,360,pi,2pi.
Answer:
Step-by-step explanation:
She bought 18 ride tickets at $0.75 per ticket, so she spent 18 * $0.75 = $13.50 on rides. She spent a total of $33.50 for only admission and rides.
$33.50 - $13.50 = $20
Admission is $20.
(a) Let y represent total cost. Let x represent the number of ride tickets.
(b) y = 0.75x + 20
(c) The total cost is the cost of x ride tickets plus the admission.
x ride tickets cost 0.75x.
Admission is a fixed 20.
Adding the cost of ride tickets, 0.75x, to the admission cost, 20, gives you the total cost, y.
Answer:
y = -2x +20
6x - 5y = 12
Put the value of y in 2nd equation
6x - 5( -2x +20 ) = 12
6x +10x -40 = 12
16x = 12 +40
16x = 52
x = 13/4
Putting the value of x in equation 1
y = -2x +20
y = -2(13/4 ) +20
y = 27/2
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$1,051. You first multiply 850 by 0.06, or 6 percent, to get $51. then add to his monthly salary. Hope this helps