Answer:
b = 12
= 20.78
c = 24
Step-by-step explanation:
The sides of a 30-60-90 triangle always have the same proportion to each other. The side opposite the 30 degree angle is x, the side opposite the 60 degree angle is x
and the side opposite the 90 degree angle is 2x (this side is called the hypotenuse) .
Since we know the side opposite the 30 degree angle here is 12, then we know that the side opposite the 90 degree angle is 2 times the side opposite the 30 degree angle, c = 24 units (2 x 12).
Finally, the side opposite the 60 degree angle is 12
which equals 20.78 units.
The missing side length is 17.
![(x - 4) {}^{2} + (y - 1) {}^{2} = r {}^{2}](https://tex.z-dn.net/?f=%28x%20-%204%29%20%7B%7D%5E%7B2%7D%20%20%2B%20%28y%20-%201%29%20%7B%7D%5E%7B2%7D%20%20%3D%20r%20%7B%7D%5E%7B2%7D%20)
passes through ( 4 , -4 )
![(4 - 4) {}^{2} + ( - 4 - 1) {}^{2} = r {}^{2}](https://tex.z-dn.net/?f=%284%20-%204%29%20%7B%7D%5E%7B2%7D%20%20%2B%20%28%20-%204%20-%201%29%20%7B%7D%5E%7B2%7D%20%20%3D%20r%20%7B%7D%5E%7B2%7D%20)
![r {}^{2} = ( - 5) {}^{2}](https://tex.z-dn.net/?f=r%20%7B%7D%5E%7B2%7D%20%20%3D%20%28%20-%205%29%20%7B%7D%5E%7B2%7D%20)
![r {}^{2} = 25](https://tex.z-dn.net/?f=r%20%7B%7D%5E%7B2%7D%20%20%3D%2025)
![r = \sqrt{25} = 5](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%7B25%7D%20%20%3D%205)
Your radius is 5 units
![c = 2\pi \: r \\ c = 2 \times 3.14 \times 5 \\ c = 31.4](https://tex.z-dn.net/?f=c%20%3D%202%5Cpi%20%5C%3A%20r%20%5C%5C%20c%20%3D%202%20%5Ctimes%203.14%20%5Ctimes%205%20%5C%5C%20%20c%20%3D%2031.4)
<h2>
To Draw:</h2>
Place your center at the point x=4 and y=1
Then take your radius 5 units by going straight down left right or up by 5 units
AND DRAW
r = 7 feet
C = 2 π r = 14 π
Answer: 14π feet
Not apparently among the choices.
Answer:
Im heartbroken
Step-by-step explanation: