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The area of a square is given by the formula width time's height. But since the square has all the sides equal, the height is of the same measure as its width. Hence its formula is given by side times side. If s is the measure of one side of a half times, product of diagonals, square, then its area can be written as A= s x s = s²
If we know the measure of the diagonal of the square then the area is given by half times the product of the diagonals. But in a square since the diagonals are equal, the formula for area can be written as half times d times d which can be written as A= ½[dxd] = ½ (d²). The unit for area is always measured in square units.
The adjacent figure represents a square whose side is s and the diagonal is d. s d
Now let us consider a problem for example:
1. Find the area of a square whose side is 5cm.
Solution:
Since the side is given as 5cm, A= sxs = 5x 5 = 25 sq cm.
2. Find the area of a square whose diagonal is given as 6 cm.
The area of square given diagonal is = ½ (d²) = ½ [6x6]
= 36/2 =18sqcm.
Let a and b be fixed real numbers such that a The open interval (a, b): We define an open interval (a, b) with end points a and b as a set of all r
The Definite Integral Area under a Curve If there exists an irregularly shaped curve, y = f(x) then there is no formula to find out
The probability of a rare disease striking a described population is 0.003. A sample of 10000 was examined. Determine the expected no. suffering from the disease and thus find out
Suppose that the probability of your favorite baseball player getting a hit at bat is 0.45. Assume that each at bat is independent. What is the probability that he bats eight times
Universal set The term refers to the set which contains all the elements such an analyst wishes to study. The notation U or ξ is usually used to denote universal sets.
let X be a nonempty set. let x belong to X. show that the collection l={ union subset of X : union = empty or belong U
Consider the following multiplication in decimal notations: (999).(abc)=def132 ,determine the digits a,b,c,d,e,f. solution) a=8 b=6 c=8 d=8 e=6 f=7 In other words, 999 * 877 = 8
more questions on wavy curve method
(a) Convert z = - 2 - 2 i to polar form. (b) Find all the roots of the equation w 3 = - 2 - 2 i . Plot the solutions on an Argand diagram.
#question Show that the enveloping cylinder of the conicoid ax 2 + by 2 + cz 2 = 1 with generators perpendicular to the z-axis meets the plane z = 0 in parabolas
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