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UNO [17]
3 years ago
15

A set of circular cups are placed so that they are touching rim to rim, as close together as possible. It is not possible to fit

more cups inside the group if the longest straight line is five cups long, how many cups are there altogether?
Mathematics
1 answer:
Eduardwww [97]3 years ago
3 0

Answer:

The total number of cups in arranged in an hexagonal area = 19 cups

Step-by-step explanation:

The pack the most circles within an area, the arrangement with the densest packing is the hexagonal lattice structure similar to the bee's honeycomb as has been proved Gauss and Fejes Toth.

Therefore, we pack the circles in an hexagonal lattice structure in an assumed hexagonal area where we have;

The longest straight line is five cups the next on either side are four cups and the final line on either side has three cups

The total number of cups = 3 + 4 + 5 + 4 + 3 = 19 cups

The total number of cups = 19 cups.

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Answer:

Industries below 50% growth are

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Step-by-step explanation:

In the graph percentage change is on the x axis and on the y axis all industries have been mentioned.

All the industries on y axis have the span over x axis representing the growth and salaries.

Out of 10 top industries only four industries have the growth of 50% which is evident from the graph.Those industries are Health Services,Computer and data processing, Cable television services and Residential care. Rest six industries are below 60% growth.So Ella should consider these industries to join.

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Which equation is a point-slope form of the equation of this line?
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VLD [36.1K]

Answer:

Step-by-step explanation:

plug all in

1) 0 when x=0

2) 1*6-1²=6-1=5

3) 6*2-2²=12-4=8

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alexira [117]

Answer:

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Step-by-step explanation:

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a = \frac{-k\pm\sqrt{k^2-4hc}}{2h}

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a = \frac{-9+ i\sqrt{255}}{24},\frac{-9- i\sqrt{255}}{24}

Therefore, Option B will be the correct option.

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