Usually, rugs have a rectangular shape, therefore the section of the living room that Patrick wants to cover is a rectangle.
The area of a rectangle can be found by multiplying the length and the width of the rectangle:
A = l × w
Hence, the most appropriate measurements Patrick should provide are the length and the width of the section of his living room he wants to cover.
Answer: x(t) = 5cm*cos(t*pi/2s)
Step-by-step explanation:
This is a sinusoidal equation, so we can write this as:
x(t) = A*cos(c*t + p) + B
where B is the axis around the movement, as the resting position is x = 0, we have B = 0
so x(t) = A*cos(c*t + p)
A is the amplitude of the oscilation, c is the frequency and p is a phase.
We know that when t = 0s, we have x(2s) = 5cm
if this is the maximum displacement, then knowing that the maximum of the cosine is cos(0) = 1
then we must have that p = 0
x(0s) = A*cos(0) = 5cm
then we have A = 5cm
Now, when t = 2s, we have:
x(2s) = 5cm*cos(2s*c) = -5cm
then 2s*c is the minimum of the cos(x) function, this is:
cos(pi) = -1
then 2s*c = pi
c = pi/2s.
then our function is:
x(t) = 5cm*cos(t*pi/2s)
Dividing the volume by the base area, you find the height to be ...
The height of the prism is
Answer:
The reference angle for the angle with measure -pi/4 is the angle pi/4
Step-by-step explanation:
The angle -pi/4 is in clockwise and the angle pi/4 is in counterclockwise
It is a right scalene because all of its measures are all different, which makes it a scalene. And what makes it a RIGHT scalene is that it has one right angle!
