Answer:
0.9675sq.cm
Step-by-step explanation:
Find a related diagram attached
Area of the shaded region = Area of rectangle - area of semicircle
Area of rectangle = 3cm * 1.5cm
Area of rectangle = 4.5sq.cm
Given
diameter of the semicircle = 3cm
area = πd²/8
Area of the semicircle = 3.14(3)²/8
Area of the semicircle = 3.5325sq.cm
Area of the shaded region = 4.5 - 3.5325
Area of the shaded region = 0.9675sq.cm
I believe 1/9=9, 2/9=18, 3/9=27, 4/9=36
Don't get mad if you get it wrong.
Answer:
2 times faster
Step-by-step explanation:
because the plane takes one hour less than the bus and 60 min equal a hour and 30 plus 30 equal 60 which is a hour so then it would be 2 times as faster because it is 30 twice to equal the 60
We have the equation:
![x^2+y^2-8x-6y+24=0](https://tex.z-dn.net/?f=x%5E2%2By%5E2-8x-6y%2B24%3D0)
By arranging this equation in terms of x and y, we have:
![x^2-8x+y^2-6y=-24 \\ \\](https://tex.z-dn.net/?f=x%5E2-8x%2By%5E2-6y%3D-24%20%5C%5C%20%5C%5C)
By using the method of completing the square, we have:
![x^2-8x+\mathbf{\left(\frac{8}{2}\right)^2}+y^2-6y+\mathbf{\left(\frac{6}{2}\right)^2}=-24+\mathbf{\left(\frac{8}{2}\right)^2}+\mathbf{\left(\frac{6}{2}\right)^2} \\ \\ x^2-8x+\mathbf{16}+y^2-6y+\mathbf{9}=-24+\mathbf{16}+\mathbf{9} \\ \\ \boxed{(x-4)^2+(x-3)^2=1}](https://tex.z-dn.net/?f=x%5E2-8x%2B%5Cmathbf%7B%5Cleft%28%5Cfrac%7B8%7D%7B2%7D%5Cright%29%5E2%7D%2By%5E2-6y%2B%5Cmathbf%7B%5Cleft%28%5Cfrac%7B6%7D%7B2%7D%5Cright%29%5E2%7D%3D-24%2B%5Cmathbf%7B%5Cleft%28%5Cfrac%7B8%7D%7B2%7D%5Cright%29%5E2%7D%2B%5Cmathbf%7B%5Cleft%28%5Cfrac%7B6%7D%7B2%7D%5Cright%29%5E2%7D%20%5C%5C%20%5C%5C%20x%5E2-8x%2B%5Cmathbf%7B16%7D%2By%5E2-6y%2B%5Cmathbf%7B9%7D%3D-24%2B%5Cmathbf%7B16%7D%2B%5Cmathbf%7B9%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7B%28x-4%29%5E2%2B%28x-3%29%5E2%3D1%7D)
The center of this circle is:
![(h,k)=(4,3)](https://tex.z-dn.net/?f=%28h%2Ck%29%3D%284%2C3%29)
So the equation that fulfills the statement is:
![(x-4)^2+(y-3)^2=2^2](https://tex.z-dn.net/?f=%28x-4%29%5E2%2B%28y-3%29%5E2%3D2%5E2)
Finally, the right answer is c)