The cape hatteras lighthouse in north carolina was constructed in 1802 and stands 210 feet tall. it is the tallest brick lighthouse in the united states and has a beacon with a 36-inch diameter that can be seen for 20 miles. what formula can you use to calculate the area of the beacon?

Area of the beacon is 1,017.88

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

Based on the information given in the question. We can only assume that the best formula that we can use to calculate the area of the beacon is the formula for the Area of a Circle. The Area of a Circle is shown in the picture attached below.

We are given the diameter of the beacon but we need the radius which is half of the diameter.

Now that we have the radius we can plug it into the formula and solve for the Area

Finally, we can see that the Area of the beacon is 1,017.88

I hope this answered your question. If you have any more questions feel free to ask away at .

c is the correct answer

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3