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oksano4ka [1.4K]
3 years ago
7

Calculus HELP PLEASE? A highway runs due north. A car traveling at 50 mph exits the highway at a 30° angle. After driving anothe

r 1.5 hours at the same speed and direction, how far away is the car from the highway?

Mathematics
2 answers:
mrs_skeptik [129]3 years ago
6 0
Check the picture below.

notice that the car exits the northbound highway, and whilst going at 50mph for 1.5 hours, that simply means going for 75 miles.

make sure your calculator is in Degree mode.

dexar [7]3 years ago
5 0

Answer:

37.5 miles is the answer.

Step-by-step explanation:

Since car is travelling with a speed = 50 mph

Angle between the highway and the track on which the car is travelling = 30°

Now we know sin∅ = distance between highway and the car/Distance traveled by the car on the new track

Distance traveled by the car in 1.5 hours = speed × time

                                                                   = 50 × 1.5 = 75 mi.

Therefore sin 30° = x/75

x = 75×sin30° = 75 × 1/2 = 37.5 mi.

Therefore the answer is 37.5 mi away.

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Answer:

Step-by-step explanation:

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andrezito [222]

Answer: the BEST approximation of the amount of water her fish tank can hold is 21ft^3

Step-by-step explanation:

The shape of Samantha's fish tank is rectangular. The volume of the rectangular fish tank would be expressed as LWH

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W represents the width of the tank.

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3 years ago
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Answer:

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The simple way for us to solve is to write down the factors of both numbers, find the factors that match for both numbers, and see which is the largest out of those that match.

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