Question
Sum of squares of three consecutive numbers is 770. Find
the sum of first and third number.Solution
Let the numbers be (x – 1), x and (x + 1) => (x – 1)2 + x2 + (x + 1)2 = 770 => x2 – 2x + 1 + x2 + x2 + 2x + 1 = 770 => 3x2 = 770 - 2 => x2 = 768/3 => x2 = 256 => x = 16 Required sum = (16 – 1) + (16 + 1) = 32
A cone has a base radius of 6 cm and a height of 8 cm. Find its volume and slant height (use π = 3.14).
120Â Â 124Â Â 151Â Â 167Â Â Â 292Â Â Â ?
Factor the polynomial: x³ - 6x² + 11x - 6.
What is the function of the "IF" function in Excel?
The simplified value of (452 x 452 x 452 – 356 x 356 x 356)/(452 x 356 + 452 x 452 + 356 x 356) is:
A bag contains 8 black and 10 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
In the figure, ABCD is a cyclic quadrilateral with O as center of the circle If ∠BOC = 136°, find ∠OBC.
Relevant for Exams:
