Step-by-step explanation:
remember, tan = sin/cos.
of course, one solution is x = 0. sin(0) = 0, tan(0)=0).
for the general solution we look at x <> 0.
3×sin(x) = 2×tan(x) = 2×sin(x)/cos(x)
3 = 2/cos(x)
3×cos(x) = 2
cos(x) = 2/3
x = 48.1896851...°
Answer:
2000 bars, or $1200
Explanation:
Let x represent the number of candy bars that are sold. Since they are sold for $0.60 each, this gives us the expression
0.60x
to represent the profit.
The factor has $0.10 per candy bar additional expense; this gives us the expression
0.10x.
However the factory also has $1000 fixed costs; this gives us
0.10x + 1000
to represent the costs.
The break-even point is the point where these two expressions are equal; this gives us the equation
0.60x = 0.10x + 1000
Subtract 0.10x from each side:
0.60x - 0.10x = 0.10x + 1000 - 0.10x
0.50x = 1000
Divide both sides by 0.50:
0.50x/0.50 = 1000/0.50
x = 2000
The break-even point is 2000 candy bars, which would sell for
0.60(2000) = $1200
I don’t have time for a specific answer right now but basically it would be in the same spot except flipped so it’s on the right now.
Y=112 because of vertical angles or if you subtract 68 from 180 to get it.
Answer:
Y=-80
Step-by-step explanation:
X=Ky/z
5=30k/3
30k=15
K=1/2
20=Ky/(-2)
Ky =-40
1/2y=-40
Y=-80
