Answer:
x = π/6, π/2, 5π/6, 3π/2
Step-by-step explanation:
cos x = sin(2x)
Use double angle formula.
cos x = 2 sin x cos x
Move everything to one side and factor.
cos x − 2 sin x cos x = 0
cos x (1 − 2 sin x) = 0
Set each factor to 0 and solve.
cos x = 0
x = π/2, 3π/2
1 − 2 sin x = 0
sin x = 1/2
x = π/6, 5π/6
The total solution is:
x = π/6, π/2, 5π/6, 3π/2
Answer:
The level was 402.7ft. at the end of two weeks.
Step-by-step explanation:
First, we need to find the amount of decrease for the first week.
520 x 0.12 = 62.4
Now, we subtract the change for the first week.
520 - 62.4 = 457.6
Next, we find the change for the second week.
457.6 x 0.12 = 54.912
Then, we subtract the change for the second week.
457.6 - 54.912 = 402.688
And we are left with our final answer that is 402.688ft. or if you wish to round to the nearest tenth, then your answer would be 402.7ft.
Answer:
![z = 15[\frac{\sqrt{3}}{2}]](https://tex.z-dn.net/?f=z%20%3D%2015%5B%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%5D)
Step-by-step explanation:
To find the Z-side, we must take the cosine of the 30-degree angle of the main triangle
We know that the cosine of an angle is defined as:



Then:
![z = 15[\frac{\sqrt{3}}{2}}]](https://tex.z-dn.net/?f=z%20%3D%2015%5B%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%7D%5D)
Finalmente the side z is:
![z = 15[\frac{\sqrt{3}}{2}}]](https://tex.z-dn.net/?f=z%20%3D%2015%5B%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%7D%5D)
Answer:
you have to put the answer in to a improper fraction and then square what the numbers that are in each 729/25 is your answer
Step-by-step explanation:
6x+17×+19ײ
______________
2×+3
23×+19ײ
__________
2x+3