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Marta_Voda [28]
3 years ago
5

The gasoline gauge on a van initially read one fourth14 full. when 1010 gallons were added to the​ tank, the gauge read two thir

ds23 full. how many more gallons are needed to fill the​ tank?
Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0
First, have common denominators.
1/4 = 3/12
2/3 = 8/12
8/12 - 3/12 = 5/12 or 1,010 gallon
1,010/5 gallon = 1/12 full
202 gallons = 1/12 full
7/12 needed until full  ⇒ 7*202 = 1,414 gallons
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Now we have to calculate the distance CD, traveled by the boat.

In ΔABC

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0.2655 =  \frac{200}{BC}

BC = \frac{200}{0.26552}

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Similarly in ΔABD

tan45.17 = \frac{200}{BD}

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Therefore, Boat traveled 553.24 feet towards the lighthouse.

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