Add 8π to both sides of the equation to get:


We have found that x = 9π. Remember that in solving problems like these with pi that it can often be helpful to treat pi as a variable.
Answer:
Option d)

Step-by-step explanation:
We are given the following in the question:
Three of four people believed that the state of the economy was the country's most significant concern.
They would like to test the new data against this prior belief.
The null hypothesis will state that the three of four people believed that the state of the economy was the country's most significant concern.
The alternate hypothesis will state that this is not true. It states that people believed that the state of the economy was the country's most significant concern is not the same.

We design the null and the alternate hypothesis

The answer is
A.
Independent variable - number of persons attending (or number of tickets sold);
<span>Dependent variable - the amount donated
Because, the number of persons attending is independent. No one knows how many people are attending. But the amount donated is depended upon the number of people attending.
</span>
Answer:112,112,68
Step-by-step explanation:
You have the answer in the picture. You only need S and is 180-Q =180-68= 112, so the answer is 112,112,68
Answer:
6 units
Step-by-step explanation:
Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.
To find: Length of GH.
Sol: EC = CH = 9 (Radius of the same circle are equal)
Now, GC = GH + CH
GC = GH + 9
Now In ΔEGC, using pythagoras theorem,
......(ΔEGC is a right triangle)





Now, Let GH = <em>x</em>

On rearranging,




So x = 6 and x = - 24
∵ x cannot be - 24 as it will not satisfy the property of right triangle.
Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.