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uranmaximum [27]
3 years ago
6

19) Caculate the unit rate. Driving 95 miles on 3 gallons of

Mathematics
1 answer:
Alona [7]3 years ago
8 0

Answer:

31.6666666 miles / gallon

Step-by-step explanation:

Take the miles and divide by the gallons

95 miles / 3 gallons

31.6666666 miles / gallon

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Find the cosine of angle B.
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\boxed { \text {Cosine Rule : } a^2 = b^2 + c^2 - 2bc \cos(A) }

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9² = 12² + 15² - 2 (12) (15) cos (B)

81 = 144 + 225 - 360 cos(B)

81 = 369 - 360 cos (B)

360 cos (B) = 369 - 81

360 cos (B) = 288

cos (B) = 0.8

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Answer: Cosine B = 0.8

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\boxed { \text {Cosine Rule : } a^2 = b^2 + c^2 - 2bc \cos(A) }

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12² = 15² + 9² - 2 (15)(9) cos (A)

144 = 225 + 81 - 270 Cos A

144 = 306 - 270 Cos A

270 Cos A = 162

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