Answer:
-(23/6)π
-(19/6)π
-3π
Step-by-step explanation:
cos2t=cos^2t-sin^2t => cos^2t=1-sin^2t =>cos2t=1-2sin^2t
sint=1-2sin^2t, if x=sint, thenn we have 2x^2+x-1=0
Here x=0.5, x=-1, as x=sint => sint = -1 solutions for -4π to -2π is t=-3π,
sint = 0.5 solutions for -4π to -2π is t= -(23/6)*π, and t = -(19/6)*π
Complementary angles add up to 90.
take away 76 from 90
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Find constant a.
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Given that g(4) = 8
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Substitute x = 4
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g(4) = a(4)² + 24 = 8
16a + 24 = 8
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Take away 24 from both sides
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16a = 8 - 24
16a = -16
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Divide by 16 on both sides
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a = -1
Now that we know that a = -1, plug it back to the equation.
g(x) = -x² + 24
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Find g(-4)
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g(-4) = - (-4)² + 24
g(-4) = -16 + 24
g(-4) = 8
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Answer: 8
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Answer:
970m^{2}
Step-by-step explanation:
This polygon can be divided in two figures: one is a triangle, an the other one is a square.
We'll begin calculating the triangle's area, using the following formula:
Where:
As you can see, I added both sides of the triangle that measure 9 m and also the lenght of the square that measures 20 m! This added up is what the base of the triangle measures on total.
Now we are going to calculate the square's area, that is much more simple:
Where:
To know the whole figure's area, we add up both areas:
