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Yuri [45]
3 years ago
15

"Nathan takes 42 minutes to thread a distance of 4.5 miles on a threadmill. Determine the average distance covered in one minute

". Please help me answer this
Mathematics
2 answers:
Viefleur [7K]3 years ago
5 0

Solution:

we are given that

Nathan takes 42 minutes to thread a distance of 4.5 miles on a threadmill.

we have been asked to find the average distance covered in one minute.

Using the  concept of unity we can write

Since Nathan takes 42 minutes to cover a distance of 4.5 miles.

So in 1 minute Nathan will cover a distance of =\frac{4.5}{42} =1.07142miles

Hence avearge distance covered in one minute is 1.1 miles.

Svet_ta [14]3 years ago
3 0

Answer:

0.107

Step-by-step explanation:

If nathan takes 42 mintues to thread a distance of 4.5 miles we must determine the spead that Nathan travels:

Speed is defined as the distance per time. Let v equal the average distance per minute, d is distance and t is time:

v=d/t

Therefore the average distance cover per one minute is:

v=4.5/42=0.107

Nathan covers 0.107 miles per one minute.

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. Two bicyclists, Sarah and Emily, depart from the same location. Sarah heads N55°E at an average speed of 6 km/hr. Emily heads
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Answer:

The distance between them after 30 minutes is 6.5 km.

Step-by-step explanation:

Speed = \frac{distance}{time}

Sarah's speed = 6 km/hr = 1.6667 m/s

Emily's speed = 10 km/hr = 2.7778 m/s

The measure of angle between their bearings = 105^{o}

After 30 minutes (1800 seconds);

distance = speed x time

Sarah would have covered a distance = 1.6667 x 1800

                               = 3000 m

                               = 3 km

Emily would have covered a distance = 2.7778 x 1800

                               = 5000 m

                               = 5 km

The distance between them, a, can be determined by applying the cosine rule;

a^{2} = b^{2} + c^{2} - 2bcCos A

   = 5000^{2} + 3000^{2} -2(5000 x 3000) Cos 105

   = 5000^{2} + 3000^{2} -2(5000 x 3000) x (-0.2588)

   = 2.5 x 10^{7} + 9 x 10^{6} + 7764000

   = 41764000

a = \sqrt{41764000}

  = 6462.5073

a = 6462.5 m

The distance between them after 30 minutes is 6.5 km.

4 0
2 years ago
A marketing company is designing a new package for a box of cereal. They have determined that the function C(x) = 4.5 x2 models
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\\ \rm\rightarrowtail y=4.5x^2

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hence domain is

\\ \rm\rightarrowtail D_f\in R

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Hence range:-

\\ \rm\rightarrowtail R_f\in [0,\infty)

6 0
2 years ago
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Mrac [35]

Answer:

Solution given:

perpendicular [P]=15m

base[B]=8m

hypotenuse [H]=17m

rate :4 plants per square metre

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Area of triangular garden: ½(P*B)=½(15*8)=60m²

Now

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3 0
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A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while trav
Genrish500 [490]

Answer:

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<u>Required equation:</u>

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7 0
2 years ago
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