Answer:
(√74, 54.46°)
Step-by-step explanation:
The rectangular coordinate point is given as; (5, 7)
Now, converting rectangular coordinates to polar coordinates is done by;
(r, θ)
Where, r is the magnitude while θ is the angle
r = √(5² + 7²)
r = √74
tan θ = (7/5)
θ = tan^(-1) 1.4
θ = 54.46°
Thus,polar coordinate is; (√74, 54.46°)
Answer:
x=1/36
Step-by-step explanation:
![(6^{2} )x=1\\\\36x=1\\\\\frac{36x}{36}=\frac{1}{36}\\\\x=\frac{1}{36}](https://tex.z-dn.net/?f=%286%5E%7B2%7D%20%29x%3D1%5C%5C%5C%5C36x%3D1%5C%5C%5C%5C%5Cfrac%7B36x%7D%7B36%7D%3D%5Cfrac%7B1%7D%7B36%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B1%7D%7B36%7D)
2x+5y=21, x+y=3
y=3-x
2x+5y=21
2x+5(3-x) =21
2x+15-5x=21
2x-5x+15=21
-3x+15=21
-3x=21-15
-x=6/3
-x=2
x=-2
The table could include values like this:
x y
-2 -8
-1 -2
0 0
1 -2
2 -8
We know that there are (4^9)^5 ⋅ 4^0 at the library, so we just need to simplify this to get the answer.
(4^9)^5 ⋅ 4^0
=(4^9)^5×1
=(4^9)^5
=4^9×5
=4^45. As a result, the total number of books at the library is 4^45 books at the library or B is the final answer. Hope it help!