Question
In a right triangle ABC, angle B = 90°. If tan A = 3/4
and the length of the hypotenuse is 25 cm, find the area of the triangle.Solution
ATQ,
We have a right triangle with: tan A= 3/4, meaning the opposite side is 3x and the adjacent side is 4x. The hypotenuse is 25 cm.
Use the Pythagorean theorem: (3x)2 + (4x)2 = 252
Solve for x, which gives x=5. The sides of the triangle are: Opposite side = 3x=15 cm, Adjacent side = 4x=20 cm. The area is = (1/2) × 15 cm × 20 cm = 150 cm2
At a round table, n persons are seated on n chairs. The probability that two friends from same college are sitting next to each other, is:
The deseasonalised time - series data will have only trend (T), cyclical (C) and irregular (I) components and is expressed as:
The grouped data for the observation are as follows.
Class :Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 2-4Â Â Â Â Â Â Â Â 4-6Â Â Â Â Â Â Â Â Â 6-8<...
These seventh decile (D7) of data set 4, 3, 10, 9, 1 is
The coefficient of correlation is the _________ of coefficients of regression.
Five persons A, B, C, D and E occupy seats in a row at random. The probability that A and B sit next to each other is:
Which option is WRONG?
Which option is incorrect for the component of ti.me series.
