This is the equations of a parabola
y = 3x^2 - 4x - 1 graphed is a parabolic arc
Answer:
216![\pi](https://tex.z-dn.net/?f=%5Cpi)
Step-by-step explanation:
Given the figure.
And the perimeter in the ratio 4: 2: 1.
Perimeter of smallest circle = ![8\pi](https://tex.z-dn.net/?f=8%5Cpi)
To find:
Area of shaded region.
Solution:
To find the area, we need to have radius first.
And radius can be calculated by the given perimeter.
Formula for Perimeter is given as:
Perimeter = ![2\pi r](https://tex.z-dn.net/?f=2%5Cpi%20r)
![8\pi = 2\pi r\\\Rightarrow r = 4\ cm](https://tex.z-dn.net/?f=8%5Cpi%20%3D%202%5Cpi%20r%5C%5C%5CRightarrow%20r%20%3D%204%5C%20cm)
Radius of smallest circle = 4 cm
Ratio of perimeter is equal to the ratio of the radii.
Radius of 2nd smallest circle by the given ratio = 8 cm
Radius of largest circle = 16 cm
Area of a circle is given the formula:
![A = \pi r^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20r%5E2)
Area of the smallest circle = ![\pi 4^2 = 16\pi\ cm^2](https://tex.z-dn.net/?f=%5Cpi%204%5E2%20%3D%2016%5Cpi%5C%20cm%5E2)
Area of the 2nd smallest circle = ![\pi 8^2 = 64\pi\ cm^2](https://tex.z-dn.net/?f=%5Cpi%208%5E2%20%3D%2064%5Cpi%5C%20cm%5E2)
Area of the largest circle = ![\pi 16^2 = 256\pi\ cm^2](https://tex.z-dn.net/?f=%5Cpi%2016%5E2%20%3D%20256%5Cpi%5C%20cm%5E2)
Area of the shaded region = Area of largest circle + 2
Area of 2nd smallest circle + 3
Area of smallest circle - 2
Area of smallest circle - 3
Area of 2nd smallest circle
Area of the shaded region = Area of largest circle - Area of 2nd smallest circle + Area of smallest circle = ![256\pi - 64\pi +16\pi = 216\pi](https://tex.z-dn.net/?f=256%5Cpi%20-%2064%5Cpi%20%2B16%5Cpi%20%3D%20216%5Cpi)
<h2>
Answer: 55 degrees</h2>
Step-by-step explanation:
Every triangle has 3 sides and 3 interior angles whose measures sum to 180 degrees. For example, a triangle with angles
,
and
:
![\theta+\alpha+\beta=180\º](https://tex.z-dn.net/?f=%5Ctheta%2B%5Calpha%2B%5Cbeta%3D180%5C%C2%BA)
Following this rule, we will apply it to the angles XYZ, YXZ and the unknown XZY:
![XYZ+YXZ+XZY=180\º](https://tex.z-dn.net/?f=XYZ%2BYXZ%2BXZY%3D180%5C%C2%BA)
![50\º+75\º+XZY=180\º](https://tex.z-dn.net/?f=50%5C%C2%BA%2B75%5C%C2%BA%2BXZY%3D180%5C%C2%BA)
![XZY=180\º-50\º-75\º](https://tex.z-dn.net/?f=XZY%3D180%5C%C2%BA-50%5C%C2%BA-75%5C%C2%BA)
Finally:
![XZY=55\º](https://tex.z-dn.net/?f=XZY%3D55%5C%C2%BA)
Answer:
i think its non-proportional
I'm not sure if I got the question right, but:
2x+4y=12
2*(-2)+4*4=12
-4+16=12
12=12