Yes ABD=CBD since they both are just half of the triangle
Step-by-step explanation:
-28÷4=2
-7=2
= -7-2
= -9 is the correct answer..
I think its 1.012(500 - 100) = 400* 1.012 = 404.80 dollars
Answer:
(-2, 1)
Step-by-step explanation:
Systems of equations can be solved using different methods. For this set of systems, you can multiply each equation by a factor in order to eliminate a variable and solve for the other variable:
-3(-5x - 3y = 7) or 15x + 9y = -21
5(-3x - 4y = 2) or <u>-15x -20y = 10</u>
-11y = -11
y = 1
Solve for x: -5x - 3 = 7
Add 3 to both sides: -5x -3 + 3 = 7 + 3 or -5x = 10
Solve for x: x = -2
(-2, 1)
Answer:
C. 128/3 meters cubed
Step-by-step explanation:
The volume of a cylinder is denoted by:
, where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
![64=\pi r^2h](https://tex.z-dn.net/?f=64%3D%5Cpi%20r%5E2h)
We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:
![64=\pi r^2h](https://tex.z-dn.net/?f=64%3D%5Cpi%20r%5E2h)
![64=\pi r^2*2r=2\pi r^3](https://tex.z-dn.net/?f=64%3D%5Cpi%20r%5E2%2A2r%3D2%5Cpi%20r%5E3)
![\pi r^3=64/2=32](https://tex.z-dn.net/?f=%5Cpi%20r%5E3%3D64%2F2%3D32)
Now, the volume of a sphere is denoted by:
, where r is the radius. From above, we know that
, so we can plug this into the equation:
![V=\frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
![V=\frac{4}{3} *32=128/3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%2A32%3D128%2F3)
Thus, the answer is C.