Question
If x+ 1/x = 3, then find the value of
2x/(3x²-5x+3)Solution
2x/(x (3x-5x+ 3/x )) ⇒ 2/((3x+ 3/x)-5) ⇒ 2/(3(x+ 1/x)-5) ⇒ 2/(3 ×3 -5) ⇒ 2/(9 -5) = 0.5
Find the variance of the numbers 13, 16, 22, 17.
The length of the diagonal of a rhombus is 24 cm, and the perimeter is 80 cm. Find the area of the rhombus.
What is 4(a³b ⁶ ) 16 × 16(a ⁴ b²)2 equal to?
A solid hemisphere of radius 7 cm is melted and recast into small solid spheres each of radius 3.5 cm. How many such small spheres can be made?
In a parallelogram, the lengths of the diagonals are 24 cm and 10 cm, and the angle between the diagonals is 30°. Find the area of the parallelogram.
In parallelogram ABCD, AB = 10 cm, BC = 7 cm and diagonal AC = 13 cm. Find the area of the parallelogram.
The area (in square units) of the quadrilateral ABCD, formed by the vertices A (0, -2), B (2, 1), C (0, 4), and D (-2, 1) is:
The ratio of the angles of a quadrilateral is 3:2:7:8. What is the sum of the largest and the smallest angle?
In parallelogram ABCD, coordinates are A(1, 2), B(5, 4) and C(7, 6). Find the coordinates of D and the area of the parallelogram.
In a parallelogram, adjacent sides are 10 cm and 8 cm, and the included angle between them is 60°. Find the area of the parallelogram.