The answer is C. Using ASA postulate, prove that triangles PQS and PRS are similar triangles
-- point (1, -2)
-- point (10, 25)
Answer: The required probability is 0.3296.
Step-by-step explanation:
Since we have given that
Number of songs = 105
Number of songs are by the Beatles = 10
So, Number of songs are not by the Beatles = 105-10=95
So, the probability that the first Beatles song heard is the fifth song played is given by

Hence, the required probability is 0.3296.
The answer would be $78..
Step-by-step explanation:
Let x be the length and y be the width of the rectangular plot.
The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,
x+2y = 1500
x = 1500 - 2y ....(1)
We know that the area of a rectangular plot is given by :
A = xy ....(2)
Put the value of x from equation (1) in (2)
.....(3)
For largest area, differentiate above area equation wrt y.

Put the value of y in equation (1).
x = 1500-2(375)
= 750 m
Put the value of y in equation (3).

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.