Answer:
It is equal to 0.
Step-by-step explanation:
I can simplify it as follows:
sinα sin(90 - α) - cos(90 - α)(cosα)
Now sin(90 -α) = cosα and cos(90 - α) = sinα) ( for α < 90)
So the expression becomes:
sinαcosα - sinαcosα
= 0 .
You don't need the apothem if the side length is known, the area can be expressed as:
A(n,s)=ns^2/(4tan(180/n)), n=number of sides and s=side length so
A(7,28)=(7*28^2)/(4tan(180/7))
A≈2848.987 ft^2
A≈2849 ft^2 (to the nearest tenth of a square foot)
You need to find how many times 5 fits into 75 5x12=60 5x13=65 5x14=70 5x15=75. so, 5 fits in to 75 fifteen times. that means Susan makes $15 a day for 5 days. 5x15=75
Answer:
a)P=0.42
b) 
Step-by-step explanation:
We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:

a) we have k=2, n=10 and p=0.01:

b) We have,
, Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.

So for this one, 240 is Two Thirds of 360, which means in a shape with 6 points, it would move four points counterclockwise.
This would move G to the point H
C. H