Answer:
D
Step-by-step explanation:
Answer:
Extracting out that inner right angle.
Hypotenuse = 8
Height = h
Adjacent :
![= \frac{10}{5} = 2](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B10%7D%7B5%7D%20%20%3D%202)
Height, h :
![{ \tt{h = \sqrt{ {8}^{2} - {5}^{2} } }} \\ { \tt{h = \sqrt{64 - 25} }} \\ { \tt{h = \sqrt{39} }} \\ the \: height \: is \: { \boxed{6.2}} \: units](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bh%20%3D%20%20%5Csqrt%7B%20%7B8%7D%5E%7B2%7D%20%20-%20%20%7B5%7D%5E%7B2%7D%20%7D%20%7D%7D%20%5C%5C%20%7B%20%5Ctt%7Bh%20%3D%20%20%5Csqrt%7B64%20-%2025%7D%20%7D%7D%20%5C%5C%20%7B%20%5Ctt%7Bh%20%3D%20%20%5Csqrt%7B39%7D%20%7D%7D%20%5C%5C%20the%20%5C%3A%20height%20%5C%3A%20is%20%5C%3A%20%7B%20%5Cboxed%7B6.2%7D%7D%20%5C%3A%20units)
Answer:
![\large\boxed{\theta=-\dfrac{\pi}{4}+k\pi\ or\ \theta=k\pi}\ for\ k\in\mathbb{Z}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Ctheta%3D-%5Cdfrac%7B%5Cpi%7D%7B4%7D%2Bk%5Cpi%5C%20or%5C%20%5Ctheta%3Dk%5Cpi%7D%5C%20for%5C%20k%5Cin%5Cmathbb%7BZ%7D)
Step-by-step explanation:
![\tan^2\theta+\tan\theta=0\\\\\tan\theta(\tan\theta+1)=0\iff\tan\theta=0\ \vee\ \tan\theta+1=0\\\\\tan\theta=0\Rightarrow \theta=k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\tan\theta+1=0\qquad\text{subtract 1 from both sides}\\\\\tan\theta=-1\Rightarrow\theta=-\dfrac{\pi}{4}+k\pi\ \text{for}\ k\in\mathbb{Z}](https://tex.z-dn.net/?f=%5Ctan%5E2%5Ctheta%2B%5Ctan%5Ctheta%3D0%5C%5C%5C%5C%5Ctan%5Ctheta%28%5Ctan%5Ctheta%2B1%29%3D0%5Ciff%5Ctan%5Ctheta%3D0%5C%20%5Cvee%5C%20%5Ctan%5Ctheta%2B1%3D0%5C%5C%5C%5C%5Ctan%5Ctheta%3D0%5CRightarrow%20%5Ctheta%3Dk%5Cpi%5C%20%5Ctext%7Bfor%7D%5C%20k%5Cin%5Cmathbb%7BZ%7D%5C%5C%5C%5C%5Ctan%5Ctheta%2B1%3D0%5Cqquad%5Ctext%7Bsubtract%201%20from%20both%20sides%7D%5C%5C%5C%5C%5Ctan%5Ctheta%3D-1%5CRightarrow%5Ctheta%3D-%5Cdfrac%7B%5Cpi%7D%7B4%7D%2Bk%5Cpi%5C%20%5Ctext%7Bfor%7D%5C%20k%5Cin%5Cmathbb%7BZ%7D)
Answer:
In general, a mixed economy is "a combination of individual choice and government protection," although the balance tends to lean more towards individual choice.
Answer:
153.94 in²
Step-by-step explanation: