Answer: 0.0008
Step-by-step explanation: Hope this helps :)
A cosine is just a sine shifted to the left by π/2. A cosine of 4x is shifted to the left by only π/8 because of the factor 4. Sketch them.
The region we're looking for is this sausage-shaped part between the cos and the sin.
The x intercepts are at π/8 for the cosine and π/4 for the sine. The midpoint between them is at (π/8 + π/4)/2 = 3/16π.
The region is point symmetric around the x axis, so the y coordinate of the centroid is 0.
So the centroid is at (3/16π, 0)
Answer:
25
Step-by-step explanation:
12 months in a year
From 31 January 2020 to 31 December 2020 = 12 months
From 31 January 2021 to 31 December 2021= 12 months
include final January = 1 month
12+12+1=25
<span>Simplifying
2x + 8y = 10
Solving
2x + 8y = 10
Solving for variable 'x'.
Move all terms containing x to the left,
all other terms to the right.
Add '-8y' to each side of the equation.
2x + 8y + -8y = 10 + -8y
Combine like terms: 8y + -8y = 0
2x + 0 = 10 + -8y
2x = 10 + -8y
Divide each side by '2'.
x = 5 + -4y
Simplifying
x = 5 + -4y</span>
