Answer:
x=8y/3-4
Step-by-step explanation:
What we have to do to solve for X into re arrange the equation so that X is by itself on one side of the equation. To start we will divide both sides by 3/8 to move it away from the X side and we get
8y/3=x+4 then we will subtract both sides by 4 to get x all by itself
8y/3-4=x
I hope this helps and please don't hesitate to ask if there is anything still unclear!
Answer:
25
Step-by-step explanation:
144/60 = 2.4
60/2.4 = x
x = 25
You need to know the properties of each function.
Tan is opposite (y) over adjacent (x). Sin>0 means that sin is positive, therefore, it is located on either quadrant 1 or 2. Tan=4/3 so it is located in quadrant 1.
The side of the triangle must be Adjacent=3 opposite=4 and hypotenuse=5
Now, you are asked to find the half angle of Cos which is

By following the formula, cos=3/5 then:

Multiply everything (inside the square

root) by 5


Then just simplify

The answer is Square root of 20 over 5
Answer:
We need a sample size of at least 1161.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error for the interval is:

For this problem, we have that:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
How large a sample should she take?
We need a sample size of at least n.
n is found when 
So






Rounding up
We need a sample size of at least 1161.