Answer:
133,300
Step-by-step explanation:
3100 x 43 = 133,300
It should be D since it’s much higher than all the rest
Answer:
97 cm²
Step-by-step explanation:
The complete question is attached.
The circle has a diameter of 12 m. The radius of the circle = diameter/2 = 12/2 = 6 cm.
The area of the circle = πr² = π × 6² = 113 cm²
To find the area of the shaded portion we have to find the area of sector and subtract it from the circle area.
The angle of the sector (θ) = 360 - 310 = 50°
![Area\ of\ the\ sector=\frac{\theta}{360} *\pi r^2=\frac{50}{350}*\pi*6^2=16\ cm^2](https://tex.z-dn.net/?f=Area%5C%20of%5C%20the%5C%20sector%3D%5Cfrac%7B%5Ctheta%7D%7B360%7D%20%2A%5Cpi%20r%5E2%3D%5Cfrac%7B50%7D%7B350%7D%2A%5Cpi%2A6%5E2%3D16%5C%20cm%5E2)
Area of shaded portion = Area of circle - Area of of sector = 113 - 16 = 97 cm²
Answer:
The line A intersect line B at point (-1,-3)
Step-by-step explanation:
step 1
Find the equation of the Line A
the equation of a line in point slope form is equal to
![y-y1=m(x-x1)](https://tex.z-dn.net/?f=y-y1%3Dm%28x-x1%29)
we have
![m=\frac{3}{2}\\point\ (3,3)](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B3%7D%7B2%7D%5C%5Cpoint%5C%20%283%2C3%29)
substitute
![y-3=\frac{3}{2}(x-3)](https://tex.z-dn.net/?f=y-3%3D%5Cfrac%7B3%7D%7B2%7D%28x-3%29)
Convert to slope intercept form
isolate the variable y
![y-3=\frac{3}{2}x-\frac{9}{2}](https://tex.z-dn.net/?f=y-3%3D%5Cfrac%7B3%7D%7B2%7Dx-%5Cfrac%7B9%7D%7B2%7D)
![y=\frac{3}{2}x-\frac{9}{2}+3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7Dx-%5Cfrac%7B9%7D%7B2%7D%2B3)
----> equation A
step 2
Find the equation of the Line B
the equation of a line in point slope form is equal to
![y-y1=m(x-x1)](https://tex.z-dn.net/?f=y-y1%3Dm%28x-x1%29)
we have
![m=-\frac{1}{3}\\point\ (-4,-2)](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B1%7D%7B3%7D%5C%5Cpoint%5C%20%28-4%2C-2%29)
substitute
![y+2=-\frac{1}{3}(x+4)](https://tex.z-dn.net/?f=y%2B2%3D-%5Cfrac%7B1%7D%7B3%7D%28x%2B4%29)
Convert to slope intercept form
isolate the variable y
![y+2=-\frac{1}{3}x-\frac{4}{3}](https://tex.z-dn.net/?f=y%2B2%3D-%5Cfrac%7B1%7D%7B3%7Dx-%5Cfrac%7B4%7D%7B3%7D)
![y=-\frac{1}{3}x-\frac{4}{3}-2](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B3%7Dx-%5Cfrac%7B4%7D%7B3%7D-2)
----> equation B
step 3
Solve the system of equations A and B by graphing
The intersection point both graphs is the solution of the system
using a graphing tool
The line A intersect line B at point (-1,-3)
see the attached figure