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:
A
Step-by-step explanation:
because A is the correct anwer
Answer:
Step-by-step explanation:
abs(-54) = 54.
The absolute value of any number is the positive value.
Answer:
12 books per shelf
Step-by-step explanation:
She has 82 books and ten of them go to her desk. So she has 72 books left to to put on her shelves. There are a total of 6 selves.
So (72 books) / (6 shelves) = 12 books per shelves.
General equation:
{(total number of books) - (books go to her desk) ] / (total number of shelves)
s = number of books on shelves
t = total number of books
d = books on desk
x = number of selves
s = (t-d) / x
Answer:
4 inches
Step-by-step explanation:
large rectangle - 18:12 ratio = 3:2
small rectangle - 6:4 = 3:2
