Answer:
It will cost $12.5 per person to charter a bus for 36 passengers
Step-by-step explanation:
The cost per person c of chartering a tour bus varies inversely as the number of passengers n.
We can write:
where k is constant of proportionality
We are given when c = 22.50, n = 20
We need to find c when n = 36
First using c = 22.50, n = 20 we will find k, the constant of proportionality
So, we get k = 450
Now, we will find c when n = 36
So, we get the value of c: c = 12.5
Therefore, It will cost $12.5 per person to charter a bus for 36 passengers
Answer:
Option C) supplementary
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If two angles are supplementary, then their sum is equal to 180 degrees
In this problem
The measure of angles are
60° and 120°
Their sum is equal to
60° + 120°=180°
therefore
The two angles are supplementary
Answer:
I took them a total of 5 hours
Step-by-step explanation:
First you multiply 65 by 2 because of the first two hours
Then you subtract 130 out of 364 to get 234, those were the first two hours
The next hours you simply divide 234/78, which is 3
3 + 2 = 5 hours
Answer: The tall cliff is 118.20 feet tall and the short cliff is 70.32 feet tall.
If you draw a picture with 2 cliffs and a river in the middle, you have find 2 right triangles. In each triangle the adjacent side to our known angle is the river of 90 feet. And the unknown side is the opposite leg.
Therefore, we can set up a tangent equation.
From the top of the short cliff to the top of the tall cliff, we can right and solve the following trig equation:
tan(28) = x /90
x = 47.88
From the top of the short cliff to the bottom, we can right and solve the following trip equation.
tan(38) = x/90
x = 70.32
The 70.32 is also the height of the short cliff. And adding the two answers together will give you the height of the tall cliff.
Please find the attached diagram for a better understanding of the question.
As we can see from the diagram,
RQ = 21 feet = height of the hill
PQ = 57 feet = Distance between you and the base of the hill
SR= h=height of the statue
=Angle subtended by the statue to where you are standing.
= which is unknown.
Let us begin solving now. The first step is to find the angle 
which can be found by using the following trigonometric ratio in 
:
Which gives to be:
Now, we know that and can be added to give us the complete angle 
in the right triangle 
.
We can again use the tan trigonometric ratio in to solve for the height of the statue, h.
This can be done as:
Thus, the height of the statue is approximately, 8.45 feet.
