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SVETLANKA909090 [29]
3 years ago
11

PLZ HELP ASAP!!! NEED TO FINISH!!!! BRAINLIEST ANSWER IF CORRECT!

Mathematics
1 answer:
scZoUnD [109]3 years ago
4 0

Answer:

about 10,652 balls

Step-by-step explanation:

The length of the court is 94 ft × 12 in/ft = 1128 in. That is 1128/8.5 ≈ 132.7 times the diameter of a ball.

The width of the court is 50 ft × 12 in/ft = 600 in. That is 600/8.5 ≈ 70.6 times the diameter of a ball.

When the balls are hexagonally packed, their row spacing is only (√3)/2 ≈ 0.866 times the ball diameter, so by cutting out one ball per row on alternate rows, about 15% more rows can be put in place. That is, there can be 81 rows of balls, alternating between 132 and 131 balls per row.

The number of balls that fit in that arrangement is ...

  132×81 - 40 = 10,652

___

Since there is some extra space beyond the last row, the balls can be "randomized" and a few more balls added, probably at least 2 or 3.

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Rational numbers are<br> natural numbers.<br> always<br> sometimes<br> never
kupik [55]

Answer:

sometimes

Step-by-step explanation:

rational numbers can sometimes be natural since all natural numbers also rational but not all rational numbers natural

6 0
3 years ago
Please pleaseeeee help me outtt, I need it quickkk will give brainliest
netineya [11]

Answer:

-132

Step-by-step explanation:

Split the summation to make the starting value of  

k equal to 1.

6 0
3 years ago
Read 2 more answers
An empty cylindrical vase with a radius of 8 cm and a height of 9 cm is filled with 6 cm^3 of sand every 15 seconds. At the same
Andru [333]

General Idea:

The volume of cylinder is given by \pi r^{2} h, 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}

Volume of half cylinder =\frac{576\pi }{2} =288\pi cm^{3}

Step 2: Let x be the number of minutes of filling the sand.

6 cm^{3} of sand filled every 15 seconds, there are four 15 seconds in a minute.

So volume of sand filled in 1 minute= 6*4 cm^{3} = 24 cm^{3}.

8 cm^{3} 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}

Volume of sand filled in x minutes = 16x.

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

Conclusion:

The number of minutes required for the base be half filled with sand is 57

6 0
3 years ago
The quotient of a number and 5 less 10 is 3
ohaa [14]

Quotient means the answer of diving two numbers.

We can write the equation as: n/5 - 10 = 3

~Add 10 to both sides

n/5 - 10 + 10 = 3 + 10

n/5 = 13

1/5n = 13

1/5n * 5 = 13 *

n = 65

Hope This Helped! Good Luck!

4 0
3 years ago
I don't know the answer
amid [387]
Is there anyway you could reupload the picture or write it on paper so we can see the full question ? (:
7 0
3 years ago
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