Wow a lot of plants but make a Mendelson Square [looks like a tic- tac -toe board (# this super large) with p and w at the top and p and w down the side. I would some how get those numbers checked out cuz generally there are only 4 squares:)
Answer:
Part 1) ![sin(\theta)=-\frac{\sqrt{65}}{9}](https://tex.z-dn.net/?f=sin%28%5Ctheta%29%3D-%5Cfrac%7B%5Csqrt%7B65%7D%7D%7B9%7D)
Part 2) ![tan(\theta)=\frac{\sqrt{65}}{4}](https://tex.z-dn.net/?f=tan%28%5Ctheta%29%3D%5Cfrac%7B%5Csqrt%7B65%7D%7D%7B4%7D)
Step-by-step explanation:
we have that
The cosine of angle theta is negative and the tangent of angle theta is positive
That means that the sine of angle theta is negative
step 1
Find ![sin(\theta)](https://tex.z-dn.net/?f=sin%28%5Ctheta%29)
we know that
![sin^{2}(\theta) +cos^{2}(\theta)=1](https://tex.z-dn.net/?f=sin%5E%7B2%7D%28%5Ctheta%29%20%2Bcos%5E%7B2%7D%28%5Ctheta%29%3D1)
we have
![cos(\theta)=-\frac{4}{9}](https://tex.z-dn.net/?f=cos%28%5Ctheta%29%3D-%5Cfrac%7B4%7D%7B9%7D)
substitute
![sin^{2}(\theta) +(-\frac{4}{9})^{2}=1](https://tex.z-dn.net/?f=sin%5E%7B2%7D%28%5Ctheta%29%20%2B%28-%5Cfrac%7B4%7D%7B9%7D%29%5E%7B2%7D%3D1)
![sin^{2}(\theta) +\frac{16}{81}=1](https://tex.z-dn.net/?f=sin%5E%7B2%7D%28%5Ctheta%29%20%2B%5Cfrac%7B16%7D%7B81%7D%3D1)
![sin^{2}(\theta)=1-\frac{16}{81}](https://tex.z-dn.net/?f=sin%5E%7B2%7D%28%5Ctheta%29%3D1-%5Cfrac%7B16%7D%7B81%7D)
![sin^{2}(\theta)=\frac{65}{81}](https://tex.z-dn.net/?f=sin%5E%7B2%7D%28%5Ctheta%29%3D%5Cfrac%7B65%7D%7B81%7D)
square root both sides
![sin(\theta)=\pm\frac{\sqrt{65}}{9}](https://tex.z-dn.net/?f=sin%28%5Ctheta%29%3D%5Cpm%5Cfrac%7B%5Csqrt%7B65%7D%7D%7B9%7D)
Remember that
In this problem the sine of angle theta is negative
so
![sin(\theta)=-\frac{\sqrt{65}}{9}](https://tex.z-dn.net/?f=sin%28%5Ctheta%29%3D-%5Cfrac%7B%5Csqrt%7B65%7D%7D%7B9%7D)
step 2
Find ![tan(\theta)](https://tex.z-dn.net/?f=tan%28%5Ctheta%29)
we know that
![tan(\theta)=\frac{sin(\theta)}{cos(\theta)}](https://tex.z-dn.net/?f=tan%28%5Ctheta%29%3D%5Cfrac%7Bsin%28%5Ctheta%29%7D%7Bcos%28%5Ctheta%29%7D)
we have
![sin(\theta)=-\frac{\sqrt{65}}{9}](https://tex.z-dn.net/?f=sin%28%5Ctheta%29%3D-%5Cfrac%7B%5Csqrt%7B65%7D%7D%7B9%7D)
![cos(\theta)=-\frac{4}{9}](https://tex.z-dn.net/?f=cos%28%5Ctheta%29%3D-%5Cfrac%7B4%7D%7B9%7D)
substitute the given values
![tan(\theta)=-\frac{\sqrt{65}}{9}:-\frac{4}{9}=\frac{\sqrt{65}}{4}](https://tex.z-dn.net/?f=tan%28%5Ctheta%29%3D-%5Cfrac%7B%5Csqrt%7B65%7D%7D%7B9%7D%3A-%5Cfrac%7B4%7D%7B9%7D%3D%5Cfrac%7B%5Csqrt%7B65%7D%7D%7B4%7D)
this question is asking about the points in the lines
the first statement is the only statement that is true as ( 2,1) is in both of the line as the statement says
x=71°
Step-by-step explanation:
an angle on a straight line=180°
so 180-32=148°÷2-6
Answer:
25% or more
Step-by-step explanation:
t1 = d1/v1 , t2 = d2/v2.
d1 = d2 , and v1 = 0.8 v2
t1 / t2 = d1/d2 x v2/v1 = v2/v1 ( as d1 = d2 )
t1/t2 = v2 / v1 = v2/0.8 v2 = 1/0.8 = 1.25