SOLUTION: The radio signal from the transmitter site of radio station WGGW can be received only within a radius of 52 miles in all directions from the transmitter site. A map of the region o

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Question 550084: The radio signal from the transmitter site of radio station WGGW can be received only within a radius of 52 miles in all directions from the transmitter site. A map of the region of coverage of the radio signal is shown be low in the
standard (x,y) coordinate plane, with the transmitter site at the origin and 1 coordinate unit representing 1 mile.
i don't know how to do a graph on here as there also is a graph to do these 3 problems. There is a circle, then a vertical and horizontal line crossing and where the intersect, there is like a 0 sort of. Then from that 0 to the y axis up is 52 and to the x axis on right is 52 too. So hope this helps, sorry i couldn't draw a graph for an easier way to do this problem.
54. Which of the following is closest to the area, in square miles, of the region of coverage of the radio signal? the answer is j but how did it get that so work would be much appreciated.
F. 2,120
G. 2,700
H. 4,250
J. 8,500
K. 16,990
55. Whi ch of the fol lowing i s an equa t ion of the c i r c l e
shown on the map? the answer is e but how did it get that so work would be much appreciated.
A. x + y = 52
b. (x+y)^2=52
c. (x+y)^2=52^2
d. x^2+y^2=52
e. x^2+y^2=52^2
56. The transmitter site of radio station WGGW and the
transmitter site of another radio station, WGWB, are
on the same highway 100 miles apart. The radio signal
from the transmitter site of WGWB can be received
only within a radius of 60 miles in all directions from
the WGWB transmitter site. For how many miles along
the highway can the radio signals of both stations be
received? the answer is g but how did it get that so work would be much appreciated.
(Note: Assume the highway is straight.)
F. 8
G. 12
H. 40
J. 44
K. 48
so hope this helps and thank you for ur help as well as happy new year and merry christmas!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The radio signal from the transmitter site of radio station WGGW can be received only within a radius of 52 miles in all directions from the transmitter site. A map of the region of coverage of the radio signal is shown be low in the
standard (x,y) coordinate plane, with the transmitter site at the origin and 1 coordinate unit representing 1 mile.
i don't know how to do a graph on here as there also is a graph to do these 3 problems. There is a circle, then a vertical and horizontal line crossing and where the intersect, there is like a 0 sort of. Then from that 0 to the y axis up is 52 and to the x axis on right is 52 too. So hope this helps, sorry i couldn't draw a graph for an easier way to do this problem.
54. Which of the following is closest to the area, in square miles, of the region of coverage of the radio signal? the answer is j but how did it get that so work would be much appreciated.
F. 2,120
G. 2,700
H. 4,250
J. 8,500
K. 16,990
It's the area of a circle with a radius of 52 miles.
Area+=+pi%2Ar%5E2+=+2704%2Api
=~ 8495 sq miles
----------------------
55. Whi ch of the fol lowing i s an equa t ion of the c i r c l e
shown on the map? the answer is e but how did it get that so work would be much appreciated.
A. x + y = 52
b. (x+y)^2=52
c. (x+y)^2=52^2
d. x^2+y^2=52
e. x^2+y^2=52^2
The eqn of a circle centered at (h,k) of radius r is %28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2
For this one, h = k = 0
It's e
--------------------
56. The transmitter site of radio station WGGW and the
transmitter site of another radio station, WGWB, are
on the same highway 100 miles apart. The radio signal
from the transmitter site of WGWB can be received
only within a radius of 60 miles in all directions from
the WGWB transmitter site. For how many miles along
the highway can the radio signals of both stations be
received? the answer is g but how did it get that so work would be much appreciated.
(Note: Assume the highway is straight.)
F. 8
G. 12
H. 40
J. 44
K. 48
----------
If you draw the 2 circles, you'll see they overlap for 12 miles.
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dl the FREE graph software at
http://www.padowan.dk