Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.
Step-by-step explanation:
The right angle triangle ABC representing the scenario is shown in the attached photo.
Angle A is alternate to the angle of depression, hence, they are the same.
The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine x, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 11.1 = 57/x
x = 57/Tan 11.1 = 57/0.1962
x = 290.5 feet to the nearest tenth.
Step-by-step explanation:
so, just by getting into the taxi we have to pay R10.
that leaves us 22 - 10 = R12 for the actual trip.
30 cents per kilometer.
so, how many units of 30 cents are there in R12 ? that is the number of kilometers we can go.
R12 = 1200 cent (right ?)
1200 / 30 = 120 / 3 = 40
so, we can travel 40 kilometers for that money.
Graph of f(x-3) is compressed by a factor of 
horizontally of f(x).
<u>Step-by-step explanation:</u>
We have, the graph of f(x)= 
, on replacing f(x) by f(x-3) we get:
= 
.Below shown are the images for graph of f(x) and f(x-3). Both are functions are exponential , and so having exponential graph but f(x-3) is compressed by a factor of horizontally . Domain and range of both functions are same i.e. F(x) & f(x-3) domain & range are same , just difference in graph : 
.
Answer:
I tried everything and either I'm doing it wrong or you wrote this wrong
Step-by-step explanation:
Hey there!
First, multiply the second equation by -2 as the problem states. When you multiply the second equation by -2, you get:
-2x+4y=2
Now, add this equation to the first equation in which you simply combine like terms:
2x+y=3
+
-2x+4y=2
=
5y= 5
In conclusion, the correct answer would be the first choice.
