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262 = 242 + 102 The given triangle is a right angle triangle with the length of the base and height 24 cm and 10 cm and the length of the hypotenuse is 26 cm Area of the triangle = (1/2) × 24 × 10 = 120 cm2 The radius of the circle in three vertices = 4.2 cm The total angle created in three circles in the vertices is 180° [∵ Sum of three angles of a triangle is 180°] The area of the triangle which is inside the common portion of the triangle and circle = (1/2) π (4.2)2 = 27.72 cm The area of the triangle excluding the circle is (120 - 27.72) = 92.28 cm2 ∴ The area excluding the portion covered by the section of the circles is 92.28 cm2.
How many numbers lie between 2000 and 3000 divisible by 5 can be made with the digits 2, 3, 4, 5, 6, 7 and 8 without repeating any digit?
If the sum of two positive numbers is 37 and the difference between these two numbers is 5, then what is the product of the two numbers?
When a number is increased by 20% then the number obtained is 36 less than thrice the original number. Find the original number.
The sum of the digits of a two-digit number is 9. If 27 is subtracted from the number, its digits switch their places. What is the number?
What is the standard deviation of a dataset if its variance is 17.64?
If {p2 + (2p2/5)} = 14p , p ≠ 0, then find the value of {p2 + (10/p) - 1}.
