Answer:
x=17
Step-by-step explanation:
x+35 = 3x +1 ( opposite angle)
34 = 2x
x = 17
Answer:
Option d) The data is symmetrical, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.
Step-by-step explanation:
Given that the amount of rainfall each month over the past four years is shown below.
The histogram appears as a reflection on the vertical line through the middle
The rainfall first is maximum then decreases gradually after minimum increases gradually so that it equals the start amount
Thus the histogram is perfectly symmetrical
It is not skewed to left or right
Option d) The data is symmetrical, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.
128
328
437
837
Hope it helped
The question is:
Check whether the function:
y = [cos(2x)]/x
is a solution of
xy' + y = -2sin(2x)
with the initial condition y(π/4) = 0
Answer:
To check if the function y = [cos(2x)]/x is a solution of the differential equation xy' + y = -2sin(2x), we need to substitute the value of y and the value of the derivative of y on the left hand side of the differential equation and see if we obtain the right hand side of the equation.
Let us do that.
y = [cos(2x)]/x
y' = (-1/x²) [cos(2x)] - (2/x) [sin(2x)]
Now,
xy' + y = x{(-1/x²) [cos(2x)] - (2/x) [sin(2x)]} + ([cos(2x)]/x
= (-1/x)cos(2x) - 2sin(2x) + (1/x)cos(2x)
= -2sin(2x)
Which is the right hand side of the differential equation.
Hence, y is a solution to the differential equation.