Answer:
1/2
Step-by-step explanation:
if you look at a unit circle, sin(\pi/6) is 
so cos of (\pi/6/2) would be \pi/3, and cos of (\pi/3) is 1/2
Answer:
- final balance: A
- initial investment: P
- return rate: r
Step-by-step explanation:
The variable assigments can be anything you like. It is often helpful to use variables that will remind you what they stand for. Here, we have chosen A = amount (final balance); P = principal (initial investment); r = rate.
Answer: 
Step-by-step explanation:
<u>Given expression</u>
![\large\boxed{\frac{12[30 - (9+4^2)]}{|10|-|-6| } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cfrac%7B12%5B30%20-%20%289%2B4%5E2%29%5D%7D%7B%7C10%7C-%7C-6%7C%20%7D%20%7D)
<u>Simplify the exponents</u>
![\large\boxed{=\frac{12[30 - (9+16)]}{|10|-|-6| } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B30%20-%20%289%2B16%29%5D%7D%7B%7C10%7C-%7C-6%7C%20%7D%20%7D)
Simplify values in the parenthesis
![\large\boxed{=\frac{12[30 - 25]}{|10|-|-6| } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B30%20-%2025%5D%7D%7B%7C10%7C-%7C-6%7C%20%7D%20%7D)
![\large\boxed{=\frac{12[5]}{|10|-|-6| } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B5%5D%7D%7B%7C10%7C-%7C-6%7C%20%7D%20%7D)
<u>Simplify absolute values (all positive)</u>
![\large\boxed{=\frac{12[5]}{10-6 } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B5%5D%7D%7B10-6%20%7D%20%7D)
![\large\boxed{=\frac{12[5]}{4 } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B5%5D%7D%7B4%20%7D%20%7D)
<u>Simplify by division</u>
![\large\boxed{=3~[5]}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D3~%5B5%5D%7D)
<u>Simplify by multiplication</u>
Hope this helps!! :)
Please let me know if you have any questions
The definition of an x intercept is when y equals 0. If y were to equal 0, you would have 3x -4(0)= 24, which is equal to 3x - 0 = 24. Using the addition property of equality, you would add 0 to both sides, and get 3x = 24. Finally, using the division property of equality, you have x = 8. So the coordinates of the x intercept would be (8,0), as your y was defined as 0. Hope this helps. Let me know if you have any questions about my explanation and feel free to ask more questions.
