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denpristay [2]
3 years ago
12

How long does it take a car travelling at 60 m..p.h to go 5 miles?

Mathematics
2 answers:
Snowcat [4.5K]3 years ago
6 0

Answer:

We are traveling at a speed S = 60 m/h

The distance we are traveling is D = 5m

We know that:

Speed (S) = distance (D)/ Time (T)

60 = 5 / T

==> T = 5/60 = 1/12 hour

==> T = 1/12 * 60 minutes = 5 minutes.

Then, the time needed to travel 5 miles at a 60m/h speed is 5 minutes.

Fynjy0 [20]3 years ago
4 0

Answer:5 minutes

Step-by-step explanation:

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Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
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Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

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Step-by-step explanation:

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Step-by-step explanation:

in pic

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