If H represents the tome teams tickets and V represents the visiting teams then it would be v+h(5)=52,000.
V= 8,667 tickets
H= 43,333 tickets
Answer:
the answer is 14 C
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Vertex is halfway between focus and directrix, so focus is (-3,0).
General Idea:
The volume of cylinder is given by
, where r is the radius and h is the height of the cylinder.
Applying the concept:
Step 1: We need to find the volume of full cylinder with the given dimensions using the formula.
Volume of full cylinder ![=\pi r^{2} h=\pi* 8^{2} *9=576\pi cm^{3}](https://tex.z-dn.net/?f=%20%3D%5Cpi%20r%5E%7B2%7D%20h%3D%5Cpi%2A%208%5E%7B2%7D%20%2A9%3D576%5Cpi%20cm%5E%7B3%7D%20)
Volume of half cylinder ![=\frac{576\pi }{2} =288\pi cm^{3}](https://tex.z-dn.net/?f=%20%3D%5Cfrac%7B576%5Cpi%20%7D%7B2%7D%20%3D288%5Cpi%20cm%5E%7B3%7D%20%20)
Step 2: Let x be the number of minutes of filling the sand.
of sand filled every 15 seconds, there are four 15 seconds in a minute.
So volume of sand filled in 1 minute
.
of sand taken out of cylindrical vase every minute.
Net volume of sand filled in 1 minute = Volume of sand filled in the vase in one minute - Volume of sand taken out in 1 minute
Net volume of sand filled in 1 minute![=24 cm^{3} - 8cm^{3}=16cm^{3}](https://tex.z-dn.net/?f=%20%3D24%20cm%5E%7B3%7D%20-%208cm%5E%7B3%7D%3D16cm%5E%7B3%7D%20)
Volume of sand filled in x minutes
.
We need to set up an equation to find the number of minutes need to fill half the volume in cylindrical vase.
![16x = 288\pi \\ \\ x=\frac{288\pi}{16} \\ \\ x=18\pi \\ \\ x=57 minutes](https://tex.z-dn.net/?f=%2016x%20%3D%20288%5Cpi%20%5C%5C%20%5C%5C%20x%3D%5Cfrac%7B288%5Cpi%7D%7B16%7D%20%20%5C%5C%20%5C%5C%20x%3D18%5Cpi%20%5C%5C%20%5C%5C%20x%3D57%20minutes%20)
Conclusion:
The number of minutes required for the base be half filled with sand is 57
Answer:
10 boys
Step-by-step explanation:
0.4x25= 10