Answer:
1.04719755 or π/3
Step-by-step explanation:
Hope this helps
the total number of marbles in the bag is 12 . so the probability of getting a green marble at random is 4/12 which resluts to 1/3
No. Because sides JM and KL have different slopes from sides AD and BC .
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
For AD:
We have the points A(2, -2) and D(1, -4). Substitute:
![m=\dfrac{-4-(-2)}{1-2}=\dfrac{-2}{-1}=2](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-4-%28-2%29%7D%7B1-2%7D%3D%5Cdfrac%7B-2%7D%7B-1%7D%3D2)
For JM:
We have the points J(4, -4) and M(2, -9). Substitute:
![m=\dfrac{-9-(-4)}{2-4}=\dfrac{-5}{-2}=2.5](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-9-%28-4%29%7D%7B2-4%7D%3D%5Cdfrac%7B-5%7D%7B-2%7D%3D2.5)
![2\neq2.5](https://tex.z-dn.net/?f=2%5Cneq2.5)
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Another argument.
No. Because the MJ is not twice as long as AD.
The formula of the length of a segment:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
The length of AD:
![|AD|=\sqrt{(1-2)^2+(-4-(-2))^2}=\sqrt{(-1)^2+(-2)^2}=\sqrt{1+4}=\sqrt5](https://tex.z-dn.net/?f=%7CAD%7C%3D%5Csqrt%7B%281-2%29%5E2%2B%28-4-%28-2%29%29%5E2%7D%3D%5Csqrt%7B%28-1%29%5E2%2B%28-2%29%5E2%7D%3D%5Csqrt%7B1%2B4%7D%3D%5Csqrt5)
The length of MJ:
![|MJ|=\sqrt{(2-4)^2+(-9-(-4))^2}=\sqrt{(-2)^2+(-5)^2}=\sqrt{4+25}=\sqrt{29}](https://tex.z-dn.net/?f=%7CMJ%7C%3D%5Csqrt%7B%282-4%29%5E2%2B%28-9-%28-4%29%29%5E2%7D%3D%5Csqrt%7B%28-2%29%5E2%2B%28-5%29%5E2%7D%3D%5Csqrt%7B4%2B25%7D%3D%5Csqrt%7B29%7D)
![\sqrt{29}\neq2\sqrt5](https://tex.z-dn.net/?f=%5Csqrt%7B29%7D%5Cneq2%5Csqrt5)
First You do length times width which would be 54 and then divide that by 3 and you would get your answer.
54÷(9×6)
First combine like terms
5+4= 9
1/4s-2/3s= -5/12s
-5/12s= 9
S= -21.6