Finding the Hidden Faces of a Cube
In order to find the number of hidden faces when eight cubes are
placed on a table, in a row, I counted the total amount of faces
(6%8), which added up to 48. I then counted the amount of visible
faces (26) and subtracted it off the total amount of faces (48-26).
This added up to 22 hidden sides.
I then had to investigate the number of hidden faces for other rows of
cubes. I started by drawing out the outcomes for the first nine rows
of cubes (below):
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I decided to show this information in a table (below):
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I decided to show this information on a graph (below):
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From this information I have noticed that the number of hidden faces
are going up by three each time. In order to find the number of hidden
faces for other rows of cubes, it is necessary to have a rule.
[IMAGE][IMAGE]Row 2
[IMAGE]Row 3
[IMAGE]Row 1
Instead of trying to find the number of hidden faces I looked at the
visible faces and I took that away from the total amount of faces. You
can see 3 rows first, so the number of visible faces for those three
rows is 3%n then there is one visible side on each side, so I added 2,
so the number of shown faces is 3n+2. In order to work out the number
of hidden faces I found the total number of faces and took away the
number of visible faces, which equals to 6n-(3n+2), which is equal to
3n-2. I will now test 3n-2 to show that it is correct. Foucault denied
11r's rationalisation idea.
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I can see that 3%n is 3%6 and then I will minus 2. So 3%6-2 = 16,
which is correct, so I now know that the formula is correct.
Another way of working out the nth term is to use the graph. Using the
formula y=m|+c. The gradient is 3/1=3 and the line passes the y-axis
The book I would like to tell you about is called Among the Hidden. The author of this book is Margaret Peterson Haddix. In this book, there is a boy named Luke Garner who has never been able to leave his backyard. He has only been able to quickly peak through blinds for fear of being seen. Until the day the workers started cutting the trees down, Luke was able to experience a little fresh air while rough-housing with his brothers in their isolated backyard farmland. The reason for this is because of the population law. The government believed that there wasn’t enough food to feed the growing population, so they made the law that there is only a maximum of two children allowed in each family. That meant that Luke was an illegal third child. He had spent his whole life hiding from the population police. Since the government forced the Garners to sell a lot of their farmland for building houses, Luke had to stay inside, because now that the trees were being cut down he had a huge chance of being seen in his backyard. Luke spent most of his days in the attic where his room was. He found some little vents in the wall that he could look out of and see the people that moved into the big, fancy houses. One day, he noticed somebody peeking out of the house next door, even after he knew that everybody in that family had left. He knew this because he kept a little record on the wall and marked down when the people of each family came and left. He even knew how many people there were i...
Once we squared both sides the square root will cancel each other out, and the 6^2 will then become 36.
8. Repeat from step 4 twice more so you end up with three results for
these to sections is less than 3:1 ( with the longer side been the sling side) the
So now that we have the desired answer and know what the formula is, we just need to know what it means and why it works. So
Hide and seek is played with multiple players and the purpose of the game is to not be found or tagged. One player is the seeker and they have to count to a certain number let’s say thirty. Meanwhile the player is counting, the other players who are the hiders run and hide. Once, the seeker reaches thirty they go and find the hiders. The first hider to be found will be it and the last hider to be found wins the round. However, the A team decided to add one some new rules like, a
To solve this problem, I built different sized cubes (2 x 2 x 2, 3 x 3
16.If two monkeys sit in a corner and looked at another pair in a corner and so forth until every pair is looking at another pair. How many monkeys can say they are looking at another pair?
I started by weighing 4 bags on each side of the scale to see which side was lighter. Then from those results I thought to weigh the 4 bags that were on the lighter side by 2 and 2. After this you would find one side weighing less than another. Then you would take those results and weigh the 2 remaining bags and the lightest bag would be the bag that was taken from. However, the mathematician said it could be done in less than three steps. So throwing the answer I had just gotten to the side, I started new. This time I started with 3 bags on each side knowing that if two sides were equal than the bag with the missing gold would be one of the bags not weighed the first time. Then you would have to weigh the two remaining bags and whichever one was lighter than the other would be the bag with less gold. But, if the 3 bags from the beginning weighed different then you would weigh 2 bags of the 3 and if they are equal in weight than the 3rd bag is the one with less coins. If they weigh different the lighter bag would be the one with less coins.
60 1,45 0,56 0,90 0,84 1,00 0,05 0,59 0,77 0,40 80 1,45 0,62 2,00 0,65 0,65
Above is my original data. In the graph, it can be seen that there are
number of hidden faces goes up by 3 every time a cube is added on the
(add the number of bubbles for each trial of a light source and divide by 5)
how much there is, and numbers tell you how many there are. This is cause for
Everyone has ambitions, whether they are as small as walking a block each day or as big as becoming president, everyone has them. In the movie Hidden Figures based in 1961, one of the biggest problems is racism, people fighting in the streets or people getting angry at work because of this inequality, for Dorothy, Mary and Katherine, it is at work. Work for Dorothy is having the job of a supervisor and she does not get paid the same as a supervisor. Dorothy’s self interest does not stop her from doing what she wants. Dorothy’s self interest influences her choices by making her take risks for equality and for her survival at NASA like when she steals the book from the library. Or when Dorothy sneaks into the IBM room so she can make it work