radio station "kmat" in math city is 200 miles away from radio station "kgeo" in geometry city. Highway 7,a straight road,connects the two cities. "kmat" broadcasts can be received up to 150 miles in all directions from the station,and "kgeo" broadcasts can be received 125miles in all directions. How long ( in miles ) is the part of the highway where both stations can be heard ? PLZZZ EXPLAIN AND THX
2007-11-27 13:59:57 · 3 answers · asked by Anonymous in Education & Reference ➔ Homework Help
The city is the center of a circle and the distance the broadcasts can be heard is the radius of the circle.
If the cities are 200 miles apart, then KMAT's broadcast can be heard all the way down Hwy 7 until you are 50 miles outside of Geometry City.
KGEO's broadcasts can be heard 125 going towards Math City.
If I add the two broadcast distances together, I get 275. I only have room for 200 miles so there must be a 75 mile overlap.
Does that help??
2007-11-27 14:13:14 · answer #1 · answered by Sage B 4 · 0⤊ 0⤋
simply, draw a circle w/ radius of 150 miles around kmat - the distance it can be heard. Do the same for kgeo, only 125 miles. There fore, the line in which they overlap is the difference or the distance on the road: 25 miles!
2007-11-27 22:11:55 · answer #2 · answered by Padambi 3 · 0⤊ 2⤋
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2007-11-27 22:13:29 · answer #3 · answered by googie 7 · 0⤊ 0⤋