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What is polygon?
A polygon is a shape with three or more sides, in which each side touches another only at its endpoints. Some polygons that you are probably already familiar with are rectangles, squares, and triangles. Sum of Interior Angles of a Regular Polygon The sum of the interior angles of an n-sided regular polygon is n minus 2, times 1800 , where n represents a positive whole number.Sum of interior angles of a polygon = 180(n-2)Another way to remember the sum of the interior angles of a regular polygon is to cut the polygon into non-overlapping triangles by connecting vertices. Knowing that sum of the interior angles of a triangle is 1800 , multiply the number of triangles by 1800 to get the sum of the interior angles of the polygon. Example: Find the sum of the interior angles of a hexagon (6-sided polygon).
Again, the number of sides of a polygon is represented by n. In a hexagon, n = 6. Plug n into the formula:180(n-2) =180(6-2) = 180.4 = 720The sum of the interior angles of a hexagon is 7200
Show that for odd positive integer to be a perfect square, it should be of the form 8k +1. Let a=2m+1 Ans: Squaring both sides we get a2 = 4m (m +1) + 1 ∴ product of two
Example of line - Common Polar Coordinate Graphs Example: Graph θ = 3Π, r cos θ = 4 and r sin θ = -3 on similar axis system. Solution There actually isn't too much to
Bob is 2 years from being double as old as Ellen. The sum of twice Bob's age and three times Ellen's age is 66. How old is Ellen? Let x = Ellen's age and let y = Bob's age. Sin
TWO PERSONS A AND B AGREE TO MEET AT A PLACE BTWEEN 11 TO 12 NOON. THE FIRST ONE TOARRIVE WAITS FOR 20 MIN AND THEN LEAVE. IF THE TIME OF THIR ARRIVAL BE INDEPENDET AND AT RNDOM,T
The geometric mean Merits i. This makes use of all the values described except while x = 0 or negative ii. This is the best measure for industrial increase rates
Expected Value For taking decisions under conditions of uncertainty, the concept of expected value of a random variable is used. The expected value is the mean of a probability
#triple integral of x^2+y^2+z^2 over 0
What is the definition of Set?
As we saw in the previous section computing Laplace transforms directly can be quite complex. Generally we just utilize a table of transforms when actually calculating Laplace tran
find the matrix of the linear transformations T:R2->R2 defined by T(x,y,z)=(x+2y,x-3z).
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