It would be 52,600 plus 13% which is 59,438.
Answer = 59,438!
Answer:
1080 degrees
180(n-2) = sum of all interior angles
180(6) = 1080
Answer:
3/8
Step-by-step explanation:
3/5 × 5/8
Multiply the numerators and denominators respectively
15/40
Simplify
3/8
Solve:
![\sqrt{3}cot\theta + 1 = 0](https://tex.z-dn.net/?f=%5Csqrt%7B3%7Dcot%5Ctheta%20%2B%201%20%3D%200)
Recall that cot(x) really is just 1/tan(x).
Thus, we can say:
![\frac{\sqrt{3}}{tan\theta} + 1 = 0](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7Btan%5Ctheta%7D%20%2B%201%20%3D%200)
Isolate the variable to solve directly for theta.
![\frac{\sqrt{3}}{tan\theta} = -1](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7Btan%5Ctheta%7D%20%3D%20-1)
![\sqrt{3} = -tan\theta](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%20%3D%20-tan%5Ctheta)
![tan\theta = -\sqrt{3}](https://tex.z-dn.net/?f=tan%5Ctheta%20%3D%20-%5Csqrt%7B3%7D)
![\theta = tan^{-1}(-\sqrt{3})](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20tan%5E%7B-1%7D%28-%5Csqrt%7B3%7D%29)
![\theta = -\frac{\pi}{3}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20-%5Cfrac%7B%5Cpi%7D%7B3%7D)
However, that's not the only solution:
For instance,
![\theta = \frac{2\pi}{3}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Cfrac%7B2%5Cpi%7D%7B3%7D)
is another solution.
In fact, there are an infinite amount of solutions we can have that will satisfy this equation because of the fact that the tangent wave is periodic every π.
Thus, we can say for every π periods, we will have a solution.
Or:
![\theta = n\pi + \theta](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20n%5Cpi%20%2B%20%5Ctheta)
, where
![n \in \mathbb{R}](https://tex.z-dn.net/?f=n%20%5Cin%20%5Cmathbb%7BR%7D)
By substituting Θ, we can say that the solutions are:
![\theta = n\pi - \frac{\pi}{3}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20n%5Cpi%20-%20%5Cfrac%7B%5Cpi%7D%7B3%7D)
, where
25/100 as a percent is 25% & 25/100 as a decimal is .25