15-1/6n=1/6n-1
First, lets multiply both sides by 6 so that n is a whole number:
90-n=n-6
now you group like terms on each side, to do this you add n to each side and add 6 as well so it becomes:
96=2n
Now divide both sides by 2 so you have 'n' on one side and it is:
48=n
Hope this helps :)
Answer:
Step-by-step explanation:
2592 = 2×2×2×2×2×3×3×3×3
now,
√2592 = √2×2×2×2×2×3×3×3×3 = 2×2×3×3√2 = 36√2
as √2 is left so the number 2592 should be multiplied with 2 to get a perfect square.
Answer: The distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.
Step-by-step explanation:
Since we have given that
Distance between Ships A and B = 1425 feet
Angle of depression from ship A to the submarine =59°
Angle of depression from ship B to the submarine = 47°
As shown in the figure below:
Remaining angle will be
![180\textdegree-(47\textdegree+59\textdegree)\\\\=180\textdegree-106\textdegree\\\\=74\textdegree](https://tex.z-dn.net/?f=180%5Ctextdegree-%2847%5Ctextdegree%2B59%5Ctextdegree%29%5C%5C%5C%5C%3D180%5Ctextdegree-106%5Ctextdegree%5C%5C%5C%5C%3D74%5Ctextdegree)
So, we will use "Sine formula ":
![\frac{\sin 74\textdegree}{1425}=\frac{\sin 59\textdegree}{B}\\\\B=\frac{1425\times \sin 59\textdegree}{\sin 74\textdegree}\\\\B=1270.68\ feet](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%2074%5Ctextdegree%7D%7B1425%7D%3D%5Cfrac%7B%5Csin%2059%5Ctextdegree%7D%7BB%7D%5C%5C%5C%5CB%3D%5Cfrac%7B1425%5Ctimes%20%5Csin%2059%5Ctextdegree%7D%7B%5Csin%2074%5Ctextdegree%7D%5C%5C%5C%5CB%3D1270.68%5C%20feet)
Similarly,
![\frac{\sin 74\textdegree}{1425}=\frac{\sin 47\textdegree}{A}\\\\A=\frac{1425\times \sin 47\textdegree}{\sin 74\textdegree}\\\\A=1084.18\ feet](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%2074%5Ctextdegree%7D%7B1425%7D%3D%5Cfrac%7B%5Csin%2047%5Ctextdegree%7D%7BA%7D%5C%5C%5C%5CA%3D%5Cfrac%7B1425%5Ctimes%20%5Csin%2047%5Ctextdegree%7D%7B%5Csin%2074%5Ctextdegree%7D%5C%5C%5C%5CA%3D1084.18%5C%20feet)
Hence, the distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.
Answer:
4;
25
Step-by-step explanation:
x² + 2(x)(2) + 2²
x² + 4x + 4
x² - 2(x)(5) + 5²
x² - 10x + 25
financial planning does require preparation.