Answer:
36 inches
Step-by-step explanation:
Let's draw a parallelogram real quick:
W _____________________ X
/ /
Y /____________________/ Z
So, we know that WY and ZX are the short sides and that they both equal 12. We also know that YZ and WX are the long sides and are 3x longer.
12*3 is 36 inches.
<span>The area to be determined is a segment of the circle.
Since central angle is 120 degrees and 120/360 = 1/3
area of sector of circle is (1/3)*36pi = 12pi
For the area of triangle, you can split it into 2 30-60-90 right triangles with sides 3:3sqrt3:6
thus base of triangle is 6sqrt3 and height is 3
Area = 1/2 * 3* 6sqrt3 = 9sqrt3 -->
segment area = 12pi - 9sqrt3</span>
46? Since we got 7*3+5*5 and that is 21+25=46.
well, let's say we know "r" and also "y", can we get the angle and the rectangular "x"?
![\bf \begin{cases} y=rsin(\theta )\\ x=rcos(\theta ) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ y=rsin(\theta )\implies \cfrac{y}{r}=sin(\theta )\implies sin^{-1}\left( \cfrac{y}{r} \right)=\theta](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%20y%3Drsin%28%5Ctheta%20%29%5C%5C%20x%3Drcos%28%5Ctheta%20%29%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20y%3Drsin%28%5Ctheta%20%29%5Cimplies%20%5Ccfrac%7By%7D%7Br%7D%3Dsin%28%5Ctheta%20%29%5Cimplies%20sin%5E%7B-1%7D%5Cleft%28%20%5Ccfrac%7By%7D%7Br%7D%20%5Cright%29%3D%5Ctheta)
and once we know what angle θ is, since x = rcos(θ), we know "r" already, and we know θ as well, so we know "x" as well.
