<span>Let </span>
<span>X= the altitude of the lighthouse above sea
level= 80 ft</span>
A = the angle of depression
Y= the distance of the boat from the lighthouse= 400 ft
tan A=X/Y------------------ >
80/400=0.2
arctan (0.2)=11.31 degree
The answer is the angle of depression is 11 degree
An estimate here would be 73,500+ 28,000= 101,500 but the actual answer would be 101,269
3/2x - 3 = y
using y = mx + b, where m is slope and b is the y intercept, we can eliminate the top two answers by finding the y intercept at -3.
You can find the slope of the graph by using any given point and then calculating rise over run. In this case, the rise is 1.5, and the run is 1, which equates to 3/2
b = -3
m = 3/2
1. The answer is 76.
If the group all together is only being charged once per ride, and the whole group is going twice, then you will double the cost of each ride:
4.50 x 2 = 9
4 x 2 = 8
3.50 x 2 = 7
In total, the rides will cost $24. So, if you're paying with a $100 bill, you will receive $76 in change.
2.2 The answer is 58.
You will do the same procedure as the first question, but this time multiply the costs by 3.
5.50 x 3 = 16.5
2 x 3 = 6
6.50 x 3 = 19.5
The total will be 42. Subtracted from 100, you will get 58.
3.3 The answer is 2.
If you have 15 dollars and the coaster costs 5.50, the first time you ride it you will have 9.50 left. The second time, you will have 4 dollars left, and then you will not be able to pay for a third time.
4.4 The answer is 23.25
If you add up all the correlating costs of the tickets (6.75 + 4.50 + 4.50 + 10.50 + 10.50), you will get 36.75. Then you must subtract that from 60, which will give you 23.25 dollars in change.
5.5 The answer is 54.75
You will do the same procedure here as you did above. Add the corresponding costs together (you're done after this part, because the question isn't asking for how much change you'll receive).
6.6 The answer is 7.
If the tickets cost $10.50 and you have $80, then you want to divide 80 by 10.50. You will get 7.6. Since you can't buy a sixth of a ticket, your answer will be 7.
7.7 The answer is to pay separately.
In this question, you will add all the costs together (except the day pass) and compare it to the cost of the day pass. Once you add all the costs together, you will get 17.50. This is cheaper than the day pass, which is 19.95.
