Answer:
The green would take 4 and the blue would take 16 times respectivly. I did it by finding the volumes of the cups in terms of pi, then dividing it by the volume of the sink.
Step-by-step explanation:
So the volume of the whole half sphere is 512pi.
Now we have to find the volumes of the cup.
Equation: ![\pi r^2h](https://tex.z-dn.net/?f=%5Cpi%20r%5E2h)
Blue cup:
![\pi 2^2(8)\\\pi 4(8)\\\pi 32](https://tex.z-dn.net/?f=%5Cpi%202%5E2%288%29%5C%5C%5Cpi%204%288%29%5C%5C%5Cpi%2032)
It would take 16 times to drain it completly.
Green cup:
![\pi 4^2(8)\\\pi 16(8)\\\pi 128](https://tex.z-dn.net/?f=%5Cpi%204%5E2%288%29%5C%5C%5Cpi%2016%288%29%5C%5C%5Cpi%20128)
It would take 4 times to drain it completly.
Answer:
40%
Step-by-step explanation:
2/5x100%=40%
Answer:
(5,-4) and (-5,6)
Step-by-step explanation:
Given:
![\left\{\begin{array}{l}x^2+x+y-26=0\\ \\x+y=1\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%5E2%2Bx%2By-26%3D0%5C%5C%20%5C%5Cx%2By%3D1%5Cend%7Barray%7D%5Cright.)
Solve it. First, express y in terms of x from the second equation:
![y=1-x](https://tex.z-dn.net/?f=y%3D1-x)
Substitute it into the first equation:
![x^2+x+1-x-26=0\\ \\x^2-25=0\\ \\(x-5)(x+5)=0](https://tex.z-dn.net/?f=x%5E2%2Bx%2B1-x-26%3D0%5C%5C%20%5C%5Cx%5E2-25%3D0%5C%5C%20%5C%5C%28x-5%29%28x%2B5%29%3D0)
Apply zero product property:
![x-5=0\ \text{or}\ x+5=0](https://tex.z-dn.net/?f=x-5%3D0%5C%20%5Ctext%7Bor%7D%5C%20x%2B5%3D0)
So,
![x=5\ \text{or}\ x=-5](https://tex.z-dn.net/?f=x%3D5%5C%20%5Ctext%7Bor%7D%5C%20x%3D-5)
When
then ![y=1-5=-4](https://tex.z-dn.net/?f=y%3D1-5%3D-4)
When
then ![y=1-(-5)=6](https://tex.z-dn.net/?f=y%3D1-%28-5%29%3D6)
We get two solutions: (5,-4) and (-5,6)
Answer:
hope this helps 3,160 tons of water flows over Niagara Falls every second. This accounts for 75,750 gallons of water per second over the American and Bridal Veil Falls and 681,750 gallons per second over the Horseshoe Falls.
Step-by-step explanation:
brainlist would help thx
Answer:
i honestly dk but need help
Step-by-step explanation:
ls