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Elena L [17]
3 years ago
5

A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first.

The tax in the first city was 3%, and the tax in the second city was 7.5% . The total hotel tax paid for the two cities was $487.50. How much was the hotel charge in each city before tax?
Mathematics
1 answer:
Ilya [14]3 years ago
7 0

Answer:

$55.00

Step-by-step explanation:

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Answer:

18.7

Step-by-step explanation:

The Law of Cosines is c^2=a^2+b^2-2ab cos(C), where c is the unknown side length of a triangle, a and b are the remaining two side lengths, and C is the angle opposite to side c. To answer this question just plug in the known values:

m^2=21^2+12^2-2(21)(12) cos(62)

Simplify:

m^2=441+144-504 cos(62)

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