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pickupchik [31]
2 years ago
8

If joe travels 37 miles in 30 minutes, how far can he travel in 4 hours?

Mathematics
2 answers:
r-ruslan [8.4K]2 years ago
7 0

Answer:

Joe travels 296 miles in 4 hours.

Step-by-step explanation:

How many minutes in an hour? 60.

How many minutes in 4 hours then? 60 * 4 = 240 minutes

Now take 240 minutes and divide it by 30. You get 8, this is what you need to multiply 37 by.

37 * 8 = 296.

Therefore, Joe travels 296 miles in 4 hours.

harkovskaia [24]2 years ago
6 0

Answer:

296 miles

Step-by-step explanation:

4 hours=240 minutes

240/30=8

37*8=296

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Answer:

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Step-by-step explanation:

Given that the speed of the airplane = 610 mph.

The airplane leaves an airport at 9:00 P.M. with a heading of 270 degrees and at 10:00 P.M., the pilot changes the heading to 310 degrees.

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As, distance = time x speed, so

The distance covered at 270 degrees, d_1 = 1\times610=610 miles.

The distance covered at 310 degrees, d_2 = 3\times610=1830 miles.

Total distance covered, d, is the magnitude of the sum of vectors \vec{d_1} and \vec{d_2} as shown in the figure.

The angle between the vectors \vec{d_1} and \vec{d_2}, \theta=310-270=40 degree.

Magnitude of sum of the vectors \vec{d_1} and \vec{d_2},

d= \sqrt{|\vec{d_1}|^2+|\vec{d_2}|^2+2|\vec{d_1}|\;|\vec{d_2}|\cos\theta} \\\\\Rightarrow d=\sqrt{610^2+1830^2+2|\vec{d_1}|\;|\vec{d_2}|\cos\(40^{\circ})}

\Rightarrow d=2330.51 miles

Hence, at 1:00 a.m, the airplane is at a distance of 2330.51 miles from the airport.

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