Selasa, 14 April 2009
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1. How to get phi numeral
To get phi, we can use a circle. Suppose we choose a circle with unit diameters .The length of the circumference of a circle lies between the perimeter of any inscribed polygon and that of any circumscribed polygon. We easily obtain bounds for phi. From the perimeters of given regular inscribed and circumscribed polygons, we may obtain the perimeters of the regular inscribed and circumscribed polygons having twice of number of sides. Starting with six-sided polygons, we can compute the perimeters polygons of 12, 24, 48, and 96 sides and we can get ever closer bounds for phi. This formula shows that phi is between two hundred twenty three per twenty one and twenty two per seven or in two decimal places is 3.14.
2. How to get abc formula
The abc formula is got for search the solution of the quadratic equations. If we have the quadratic equation ax square plus bx plus c equal 0, the abc formula get by:
a). make 1 the coefficient of x by dividing the equation with a,
b). passing constant in left side by quite the sides with c per a.
c). using the completing square to make the left side be a complete square. We can add square of half of x coefficient.
3. how to compute the area bounds of y equals x square and y equals x plus 2.
We must find bounds of curves with get the point of the curves. After that, we can use integral operation i.e. the top curve minus the under curve with bounds of x.
So, we find that the area is four half.
4. Cone’s volume
If we have a cone with a half of base diameter is r and the high is t, we can compute the volume is the area of base crossed by the high. Because the base of cone is a circle, so the volume is Phi cross a half of diameter cross t.
5. Proof that the summary of the angles of triangle is 180 degrees.
First, we make any kind of triangle, then make the length line of point anywhere. For example, C is same line with AC then passed AC, make the parallel line with AB.
Angle ACB + angle ABC +Angle CAB equals 180 degrees.
So, it proofed that the summary of the angles of triangle is 180 degrees.
6. Explain how to fixed probability the number more than six from 2 cubes throws once.
By using the chance, the sum which more than six from two cubes throws once is twenty one. So the probability number more than six is twenty one per thirty six.
7. Explain the way to get the equation throws (10,0) and x square plus y square equals nine.
Use tangent equation which throws (a,b) i.e. x index 1 cross x plus y index 1 cross y equals quadrate of half diameter.
So the equation can find by entering the founding elements.
8. Explain how to proof the Pythagoras
For example, a, b, c explain the right side and the sideway of right triangle. At two square which each with a plus b as a side. The first square divided be six part, that is two square and four of right triangles which congruent with the definite triangle. The second triangle divided be five part, that square at sideways and four right triangles congruent with definite triangle. So we found that the third number is triple Pythagoras. To find one of the numbers is square of sideways is equal to square of the right side plus the others.
9. Search the sum of first 200 odds.
Using the arithmetic series. First part is 1 and the difference is 2 and there is a hundred numbers. The sum of first two hundreds of odd is equals half of hundred cross twice first part plus hundredth minus 1 cross 2. The result is one hundred thousand.
10. Explain how to draw the cube if the side is found.
For example, the cube ABCD EFGH, the base is ABCD and each the right sides is AC, BF, CG, and HG.
The steps are:
Draw line of AB to horizontal purpose
In A, draw the deviation angle
Projection sideways ABCD is parallelogram, so the base can be finished
The middle are vertical lines, so EFGH can be drawed
We can draw the cube ABCD EFGH
To get phi, we can use a circle. Suppose we choose a circle with unit diameters .The length of the circumference of a circle lies between the perimeter of any inscribed polygon and that of any circumscribed polygon. We easily obtain bounds for phi. From the perimeters of given regular inscribed and circumscribed polygons, we may obtain the perimeters of the regular inscribed and circumscribed polygons having twice of number of sides. Starting with six-sided polygons, we can compute the perimeters polygons of 12, 24, 48, and 96 sides and we can get ever closer bounds for phi. This formula shows that phi is between two hundred twenty three per twenty one and twenty two per seven or in two decimal places is 3.14.
2. How to get abc formula
The abc formula is got for search the solution of the quadratic equations. If we have the quadratic equation ax square plus bx plus c equal 0, the abc formula get by:
a). make 1 the coefficient of x by dividing the equation with a,
b). passing constant in left side by quite the sides with c per a.
c). using the completing square to make the left side be a complete square. We can add square of half of x coefficient.
3. how to compute the area bounds of y equals x square and y equals x plus 2.
We must find bounds of curves with get the point of the curves. After that, we can use integral operation i.e. the top curve minus the under curve with bounds of x.
So, we find that the area is four half.
4. Cone’s volume
If we have a cone with a half of base diameter is r and the high is t, we can compute the volume is the area of base crossed by the high. Because the base of cone is a circle, so the volume is Phi cross a half of diameter cross t.
5. Proof that the summary of the angles of triangle is 180 degrees.
First, we make any kind of triangle, then make the length line of point anywhere. For example, C is same line with AC then passed AC, make the parallel line with AB.
Angle ACB + angle ABC +Angle CAB equals 180 degrees.
So, it proofed that the summary of the angles of triangle is 180 degrees.
6. Explain how to fixed probability the number more than six from 2 cubes throws once.
By using the chance, the sum which more than six from two cubes throws once is twenty one. So the probability number more than six is twenty one per thirty six.
7. Explain the way to get the equation throws (10,0) and x square plus y square equals nine.
Use tangent equation which throws (a,b) i.e. x index 1 cross x plus y index 1 cross y equals quadrate of half diameter.
So the equation can find by entering the founding elements.
8. Explain how to proof the Pythagoras
For example, a, b, c explain the right side and the sideway of right triangle. At two square which each with a plus b as a side. The first square divided be six part, that is two square and four of right triangles which congruent with the definite triangle. The second triangle divided be five part, that square at sideways and four right triangles congruent with definite triangle. So we found that the third number is triple Pythagoras. To find one of the numbers is square of sideways is equal to square of the right side plus the others.
9. Search the sum of first 200 odds.
Using the arithmetic series. First part is 1 and the difference is 2 and there is a hundred numbers. The sum of first two hundreds of odd is equals half of hundred cross twice first part plus hundredth minus 1 cross 2. The result is one hundred thousand.
10. Explain how to draw the cube if the side is found.
For example, the cube ABCD EFGH, the base is ABCD and each the right sides is AC, BF, CG, and HG.
The steps are:
Draw line of AB to horizontal purpose
In A, draw the deviation angle
Projection sideways ABCD is parallelogram, so the base can be finished
The middle are vertical lines, so EFGH can be drawed
We can draw the cube ABCD EFGH
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