Mathematics is a human knowledge which use symbolic logical and notation of mathematic. And the definition of mathematic basic on literal is pattern of research of structure, changing and “ruang” by mathematics properties namely additions, subtraction, multiplication, and division.
Mathematic is human knowledge that learn pattern.
Hill bart is a formal person of mathematics or we can said that he is mathematician.
Mathematics is human knowledge which studying of relations.
Mathematic is human knowledge to solving the problem of mathematics, so we can call it problem solving.
Mathematics has mathematician who have eager to know something.
Mathematics can be a tool of communication. For instance: Javanese people give symbol of number ‘1’ is “siji” orally meanwhile in Indonesian ‘1’, we say “satu”. So the expert conclude that mathematics is for communication.
Mathematics is for accounting.For example :Aritmatica be used on selling and buying which need mathematic properties, namely addition, subtraction, multiplication and division.
Finally, everyone must have used mathematics in there life.
Selasa, 14 April 2009
Task Four
1.We have seen that in the ancient orient the value of phi was frequently taken as 3, 1, from the perimeters of given regular inscribed and circumscribed polygons, we may obtain the perimeters of the regular inscribed and circumscribed polygons having twice the number of sides. By successive applications, starting with the regular inscribed and circumscribed polygons of 12, 24, 48 and 96 sides, in this way obtaining ever closer bounds for phi. Finally obtaining the fact that phi is between 223/71 and 22/7, or that, two decimal places, phi is given by 3,14
2.
Change the coefficient X2 into 1
Then divide with A
Delete the constantan at the left row (both bases minus with C/A)
Add both rows with the half squares of coefficient X.
Change the left row into perfect squares.
So we get the equation X equal with –B plus minus source b square minus 4 times A times C divide 2A
3. If Y equal to X squares and Y equal to X plus 2, so to count the wide is:
Write both equations, which are:
X squares equal to X plus 2, then change the row into X squares minus 2 equal to 0, then make it into factorization (X+1)(X-2) so the wide outer limit achieved which is X equal with -1 and X equal with 2, then draw the area limited by Y=X2 and Y=X+2. Count the area wide with car integral from X2 minus X-2 with the limit X=-1 and X=2 after integral zed, it is substituted the limit into the equation that already integral zed. So the area wide from Y=X2 and Y=X+2.
4.Determine the cone volume
Count the base wide from the cone which has trellis (r) = 1/3 La. Using the formula of a third of base wide.
After get the base wide, then times it with the height from the cone, so the volume of the cone can achieved.
5.Make any kind triangle, and then make line extension from any point. Fro example, C in line AC, through point C, make parallel line with line AB.
Angle BCE equal with able ABC (because inside across)
Angle DCE equal with angle CAB (because face to face)
Angle ACB plus angle BCE plus angle ECD at one line, equal with 180 degree so angle ACB plus angle ABC plus angle CAB equal with 180 degree.
6. Search the probability the appearance of the amount of number more than 6 from 2 dice that thrown once is the amount of all event divided with the amount of total, which are:
the amount of all event divided with the amount of total.
21/36 = 7/(12 )
7. That is with X-1 times X plus Y-1 times Y equal with the squares from the trellis..
If X-1 equal with 10 , Y-1 equal with 0, and trellis square equal with 9 so the equation is 10X plus 0Y equal with 9 or 10X minus 9 equal with zero.
8.If a, b, c show the upright side and inclined side from angled triangle at two square which are has A+B as the side, first square cut into six part which are 2 square at the side and 4 congruent angled triangle and the second square cut into five part which are a square at the inclined side and four congruent angled triangle. With decrease the same part, so the square at hypotenuse is equal with the amount of a square at each edge, so the Pythagoras preposition is squares from inclined side of the angled triangle are the amount of squares of both other side.
9.Using arithmetic line, the first point values one with the differences two and there are 100 points there. So the total amount of odd number of the first 200 equal with 100 divide 2 then times the first point twice add with the 100th point then minus one times 2 and the amount will be exactly 10.000.
10.
Make a line that known as the base margin.
Then make it into base.
Make the base side into square which is ABCD square.
Then draw the withdraw angle, for example: X0.
Make oblique projection the ABCD square like parallelogram.
Then from ABCD make a vertical line as the upright margin.
Then connect it like the base as cube cover so we can make ABCD EFGH cube.
2.
Change the coefficient X2 into 1
Then divide with A
Delete the constantan at the left row (both bases minus with C/A)
Add both rows with the half squares of coefficient X.
Change the left row into perfect squares.
So we get the equation X equal with –B plus minus source b square minus 4 times A times C divide 2A
3. If Y equal to X squares and Y equal to X plus 2, so to count the wide is:
Write both equations, which are:
X squares equal to X plus 2, then change the row into X squares minus 2 equal to 0, then make it into factorization (X+1)(X-2) so the wide outer limit achieved which is X equal with -1 and X equal with 2, then draw the area limited by Y=X2 and Y=X+2. Count the area wide with car integral from X2 minus X-2 with the limit X=-1 and X=2 after integral zed, it is substituted the limit into the equation that already integral zed. So the area wide from Y=X2 and Y=X+2.
4.Determine the cone volume
Count the base wide from the cone which has trellis (r) = 1/3 La. Using the formula of a third of base wide.
After get the base wide, then times it with the height from the cone, so the volume of the cone can achieved.
5.Make any kind triangle, and then make line extension from any point. Fro example, C in line AC, through point C, make parallel line with line AB.
Angle BCE equal with able ABC (because inside across)
Angle DCE equal with angle CAB (because face to face)
Angle ACB plus angle BCE plus angle ECD at one line, equal with 180 degree so angle ACB plus angle ABC plus angle CAB equal with 180 degree.
6. Search the probability the appearance of the amount of number more than 6 from 2 dice that thrown once is the amount of all event divided with the amount of total, which are:
the amount of all event divided with the amount of total.
21/36 = 7/(12 )
7. That is with X-1 times X plus Y-1 times Y equal with the squares from the trellis..
If X-1 equal with 10 , Y-1 equal with 0, and trellis square equal with 9 so the equation is 10X plus 0Y equal with 9 or 10X minus 9 equal with zero.
8.If a, b, c show the upright side and inclined side from angled triangle at two square which are has A+B as the side, first square cut into six part which are 2 square at the side and 4 congruent angled triangle and the second square cut into five part which are a square at the inclined side and four congruent angled triangle. With decrease the same part, so the square at hypotenuse is equal with the amount of a square at each edge, so the Pythagoras preposition is squares from inclined side of the angled triangle are the amount of squares of both other side.
9.Using arithmetic line, the first point values one with the differences two and there are 100 points there. So the total amount of odd number of the first 200 equal with 100 divide 2 then times the first point twice add with the 100th point then minus one times 2 and the amount will be exactly 10.000.
10.
Make a line that known as the base margin.
Then make it into base.
Make the base side into square which is ABCD square.
Then draw the withdraw angle, for example: X0.
Make oblique projection the ABCD square like parallelogram.
Then from ABCD make a vertical line as the upright margin.
Then connect it like the base as cube cover so we can make ABCD EFGH cube.
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