Answer:
I belive its $9,802.9
Step-by-step explanation:
$8,350 x 0.174 ( 17.4 ÷ 100)
= $1,452.9
$8,350 + $1,452.9 = $9,802.9
Answer:
24meters
Step-by-step explanation:
Given data
Joe walked 12m East
We are told that Joe continued to walk for another 12m east
Therefore, Joes displacement is
=12+12
=24m
His displacement is 24meters
Answer:
Step-by-step explanation:
<u>Use the law of cosines:</u>
- cos C = (25² + 27² - 28²)/(2*25*27)
- cos C = 0.4222
- m∠C = arccos 0.4222
- m∠C = 65°
Answer:
θ∈{
}
Explanation:
The given equation is
![sin(2\theta )-cos(2\theta )=0](https://tex.z-dn.net/?f=sin%282%5Ctheta%20%29-cos%282%5Ctheta%20%29%3D0)
![\Rightarrow sin(2\theta )=cos(2\theta )\\\\\therefore \frac{sin(2\theta )}{cos(2\theta )}=1\\\\tan(2\theta )=1\\\\\therefore 2\theta =n\pi +\frac{\pi}{4}\\\\\therefore \theta =\frac{n\pi }{2}+\frac{\pi }{8}](https://tex.z-dn.net/?f=%5CRightarrow%20sin%282%5Ctheta%20%29%3Dcos%282%5Ctheta%20%29%5C%5C%5C%5C%5Ctherefore%20%5Cfrac%7Bsin%282%5Ctheta%20%29%7D%7Bcos%282%5Ctheta%20%29%7D%3D1%5C%5C%5C%5Ctan%282%5Ctheta%20%29%3D1%5C%5C%5C%5C%5Ctherefore%202%5Ctheta%20%3Dn%5Cpi%20%2B%5Cfrac%7B%5Cpi%7D%7B4%7D%5C%5C%5C%5C%5Ctherefore%20%5Ctheta%20%3D%5Cfrac%7Bn%5Cpi%20%7D%7B2%7D%2B%5Cfrac%7B%5Cpi%20%7D%7B8%7D)
Applying values on 'n' we obtain values of θ that beling to [0,2π)
For n=0, θ=![\frac{\pi }{8}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B8%7D)
For n=1, θ =![\frac{5\pi }{8}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Cpi%20%7D%7B8%7D)
For n=2,θ =![\frac{9\pi }{8}](https://tex.z-dn.net/?f=%5Cfrac%7B9%5Cpi%20%7D%7B8%7D)
For n=3,θ =![\frac{13\pi }{8}](https://tex.z-dn.net/?f=%5Cfrac%7B13%5Cpi%20%7D%7B8%7D)