Answer:
The answer is D. Tanɵ. But why? Let's break it down. Tan pi + theta in the base equation should look like this...
We now have to simplify this expression. Let's do that.
Now that we have broken this problem into simpler fragments, we have to put it all together, The final equation should look like the one below!
With that information, we have solved the problem, your final answer is tanɵ
What have we learned?
<h3>We learned some knowledge on what simplifying expressions with complex mathematical terms looks like.</h3>
Answer:
![\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-30%2622%268%5C%5C-4%26-4%2616%5C%5C30%26-28%2618%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Given
![A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%269%262%5C%5C10%26-10%262%5C%5C-5%266%26-5%5Cend%7Barray%7D%5Cright%5D)
![B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right]](https://tex.z-dn.net/?f=B%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%26-1%26-1%5C%5C6%26-4%26-3%5C%5C-10%2610%26-7%5Cend%7Barray%7D%5Cright%5D)
Required
2A - 4B
To solve 2A - 4B, we first multiply matrix A by 2 and matrix B by 4
So, if
![2A = 2 *\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right]](https://tex.z-dn.net/?f=2A%20%3D%202%20%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%269%262%5C%5C10%26-10%262%5C%5C-5%266%26-5%5Cend%7Barray%7D%5Cright%5D)
![2A = \left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right]](https://tex.z-dn.net/?f=2A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%2618%264%5C%5C20%26-20%264%5C%5C-10%2612%26-10%5Cend%7Barray%7D%5Cright%5D)
If
then
![4B = 4*\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right]](https://tex.z-dn.net/?f=4B%20%3D%204%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%26-1%26-1%5C%5C6%26-4%26-3%5C%5C-10%2610%26-7%5Cend%7Barray%7D%5Cright%5D)
![4B = \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right]](https://tex.z-dn.net/?f=4B%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D28%26-4%26-4%5C%5C24%26-16%26-12%5C%5C-40%2640%26-28%5Cend%7Barray%7D%5Cright%5D)
So; 2A - 4B becomes
![\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%2618%264%5C%5C20%26-20%264%5C%5C-10%2612%26-10%5Cend%7Barray%7D%5Cright%5D%20-%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D28%26-4%26-4%5C%5C24%26-16%26-12%5C%5C-40%2640%26-28%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{ccc}-2-28&18-(-4)&4-(-4)\\20-24&-20-(-16)&4-(-12)\\-10-(-40)&12-40&-10-(-28)\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2-28%2618-%28-4%29%264-%28-4%29%5C%5C20-24%26-20-%28-16%29%264-%28-12%29%5C%5C-10-%28-40%29%2612-40%26-10-%28-28%29%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{ccc}-30&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-30%2618%2B4%264%2B4%5C%5C20-24%26-20%2B16%264%2B12%5C%5C-10%2B40%2612-40%26-10%2B28%5Cend%7Barray%7D%5Cright%5D)
Hence, 2A - 4B is equivalent to
Answer:
2.25
Step-by-step explanation:
The question gives us one hint. That side of the square is 1.5"
Because it gives us that, we can use that to find the area. Because it is a square, all of the sides are the same length.
To find the area it is basexheight
So that is why the answer is 2.25 because 1.5x1.5=the area of the square
Answer:
the angle of reflection is the angle between the reflected wave and the "normal" (the perpendicular line to the reflecting surface).
Step-by-step explanation:
