Idk really I enjoyed this mathematics
Answer:

Step-by-step explanation:
Method 1: Using a calculator <em>instead</em> of the unit circle
The unit circle gives coordinates pairs for the <em>cos</em> and <em>sin</em> values at a certain angle. Therefore, if an angle is given, use a calculator to evaluate the functions at cos(angle) and sin(angle).
Method 2: Using the unit circle
Use the unit circle to locate the angle measure of 150° (or 5π/6 radians) and use the coordinate pair listed by the value (see attachment).
This coordinate pair is (-√3/2, 1/2).
ANSWER
The linear equation is: y = 80x + 65
Te cost for 40 football jerseys: $3265
EXPLANATION
Let 'x' be the number of jerseys and 'y' the cost of x jerseys.
Each jersey costs $80, so the cost of x jerseys is 80x. There's also an extra fee for procesing of $65, which is the same no matter how many jerseys they buy.
Therefore, the cost 'y' of x jerseys is:

Now we want to know the cost of 40 football jerseys, so we just have to replace x by 40 and solve:
Answer:
39/40
Step-by-step explanation:
Since 39 out of 40 marbles are green, the probability of randomly choosing green is 39/40.
However, the probability becomes 100% when you look into the bag and choose a green marble. (Unless you are blind or unable to distinguish blue from green, in which case the probability remains 39/40.)
Draw a diagram to illustrate the problem as shown below.
The area of triangle acb is
A₁ = (1/2)*20*h = 10h
The area of trapezoid abcd is
A₂ = (1/2)*(20+12)*h = 16h
The ratio A₁/A₂ is
A₁/A₂ = (10h)/(16) = 5/8
Answer:
The ratio of triangle acb to the area of trapezoid abcd is 5/8.