17.1 to the nearest tenths place is 17.1.
Answer:
c - 12 = 6; c = 18
Step-by-step explanation:
Just add 12 and 6.
The value of the 1 in 16,403 is 10,000. It's in the ten thousands place. It tells you there is one set of ten thousand.
Answer:
![\tan(x) = \frac{ -\sqrt{2} }{4}](https://tex.z-dn.net/?f=%20%5Ctan%28x%29%20%20%3D%20%20%5Cfrac%7B%20-%5Csqrt%7B2%7D%20%7D%7B4%7D%20)
Step-by-step explanation:
So an angle has two parts. Initial side and terminal side.
Inital side like on x axis. and terminal side shows how much it open up. Here the terminal angle terminates in second quadrant so we have the following
- A negative Cosine Value
- A positive Sine value
- A negative Tangent Value.
Now, using Pythagoras identity let solve for cos theta.
Here you on the right track but remeber that son theta=1/3 so sin theta squared would be 1/3 squared so we have
![(\frac{1}{3} ) {}^{2} + \cos {}^{2} (x) = 1](https://tex.z-dn.net/?f=%20%28%5Cfrac%7B1%7D%7B3%7D%20%29%20%7B%7D%5E%7B2%7D%20%20%2B%20%20%5Ccos%20%7B%7D%5E%7B2%7D%20%28x%29%20%20%3D%20%201)
![\frac{1}{9} + \cos {}^{2} (x) = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B9%7D%20%20%2B%20%20%5Ccos%20%7B%7D%5E%7B2%7D%20%28x%29%20%20%3D%201)
![\cos {}^{2} (x) = \frac{8}{9}](https://tex.z-dn.net/?f=%20%5Ccos%20%7B%7D%5E%7B2%7D%20%28x%29%20%20%3D%20%20%5Cfrac%7B8%7D%7B9%7D%20)
![\cos(x) = \frac{2 \sqrt{2} }{3}](https://tex.z-dn.net/?f=%20%5Ccos%28x%29%20%20%3D%20%20%5Cfrac%7B2%20%5Csqrt%7B2%7D%20%7D%7B3%7D%20)
Note since cosine is negative in second quadrant, cos theta is
![- \frac{2 \sqrt{2} }{3}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B2%20%5Csqrt%7B2%7D%20%7D%7B3%7D%20)
To find tan theta we do the following
![\tan(x) = \frac{ \sin(x) }{ \cos(x) }](https://tex.z-dn.net/?f=%20%5Ctan%28x%29%20%20%3D%20%20%5Cfrac%7B%20%5Csin%28x%29%20%7D%7B%20%5Ccos%28x%29%20%7D%20)
![\tan(x) = \frac{ \frac{1}{3} }{ \frac{2 \sqrt{2} }{3} }](https://tex.z-dn.net/?f=%20%5Ctan%28x%29%20%20%3D%20%20%20%5Cfrac%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%7B%20%5Cfrac%7B2%20%5Csqrt%7B2%7D%20%7D%7B3%7D%20%7D%20)
![\tan(x) = \frac{1}{2 \sqrt{2} }](https://tex.z-dn.net/?f=%20%5Ctan%28x%29%20%3D%20%20%20%5Cfrac%7B1%7D%7B2%20%5Csqrt%7B2%7D%20%7D%20)
![\tan(x) = \frac{2 \sqrt{2} }{8}](https://tex.z-dn.net/?f=%20%5Ctan%28x%29%20%20%20%3D%20%5Cfrac%7B2%20%5Csqrt%7B2%7D%20%7D%7B8%7D%20)
![\frac{ \sqrt{2} }{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B4%7D%20)
So
![\tan(x) = \frac{ -\sqrt{2} }{4}](https://tex.z-dn.net/?f=%20%5Ctan%28x%29%20%20%3D%20%20%5Cfrac%7B%20-%5Csqrt%7B2%7D%20%7D%7B4%7D%20)
Tan is negative in second quadrant
The answer to 4x-y=7 is x=1/4y+7/4 and the answer to 4x - 2y = 2 is x=1/2y+1/2