Answer:
x=9.2394
Step-by-step explanation:
It's tan we're going to use because we're looking for the opposite and we already have the angle
Therefore, x will be
Tan 57= x/6
1.5399= x/6
x= 6*1.5399
x= 9.2394
You can approximate it to the nearest whole number which will be 9
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)
Answer: 
Step-by-step explanation: You are trying to find the chances of someone getting a lemonade when there are 23 lemonades out of 111 drinks. You just have to put the total number of drinks as the denominator and the lemonades as the numerator because you want to find its probability.
