catmg

We can split this into a rectangle and triangle. 

Rectangle

90*130 (length * width)

Triangle

110*50/2 (base * height / 2)

Now, we just add them together. 

90*130 + 110*50/2  

11700 + 2750

14450

I hope this helped. :))

=^._.^=

Being completly honest, I am not good with these things, but I'll give it my best shot. 

Let's start by turning everything into sine/cosine. 

(cos θ/sin θ) - (1/sin θ^2)/(cos θ/sin θ) = -(sine θ/cos θ)

(cos θ/sin θ) - (1/(sin θ * cos θ)) = -(sine θ/cos θ)

(cos θ^2 - 1)/(sin θ * cos θ) = -(sine θ/cos θ)

(cos θ^2 - 1) = (sin θ * cos θ) * -(sine θ/cos θ)

(cos θ^2 - 1) = - (sin θ^2)

cos θ = sqrt(1-sine θ^2)

This equation can be proven by using the unit circle and pythagreon theorum. 

Now, let's plug that into the original equation. 

(sqrt(1-sine θ^2)^2 - 1) = - (sin θ^2)

(1-sine θ^2 - 1) = - (sin θ^2)

- sine θ^2 = - (sin θ^2)

- sine θ^2 = - sine θ^2

omgosh, I can't believe I solved that. (hopefully it's correct)

I hope this helps. :)))

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Hi

How many numbers are perfect squares. 

sqrt(100) = 10

sqrt(200) = 14.14...

So there are 5 squares from 100 to 200. 10^2, 11^2, ..., 14^2. 

From 100 to 200, there are 101 numbers, 5 of which are squares. 

101 - 5 = 96. 

I hope this helped. :))

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Aww thank you. :))

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I believe the center of the circle has to be equidistant to (12, 0) and (0, 8). 

So the raduis could be any length greater than 5sqrt(2). 

But I'm probably missing something. 

Sorry I couldn't help more. :))

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The raduis of the circle is 11, so the total area is 121pi (pi*r^2)

60 degrees is 1/6 of the circle. (60/360)

So the answer is 1/6 of 121pi. 

I hope this helped. :))

=^._.^=

Hmmm, I don't think I understand why. 

Could you explain?

=^._.^=

This is an equation of a circle, where the center is at the origin and radius. 

Since all the x points are mirrored at the y axis, I believe it should sum up to 0. (for example if x = 3, x can also be -3, and 3-3 = 0). 

I hope this helped. :)))

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y = 6x + b

We're solving for b so we can plug things in. 

19 = 6(2) + b

19 = 12 + b

b = 7

So our equation is y = 6x + 7

I hope this helped. :)))

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Why not?

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