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balu736 [363]
3 years ago
11

HELP!!! will give the brainlyiest!!!!!!! someone please help hurry!

Mathematics
2 answers:
Andru [333]3 years ago
8 0

Answer:

A

Step-by-step explanation:

astraxan [27]3 years ago
6 0

Answer:

0.5

Step-by-step explanation:

As you can see, all of the x-values are being divided by 0.5 to get the y-values, so 0.5 is the constant of proportionality

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Two boats leave the same place at the same time. The first boat heads due north at 10 kilometers per hour. The second boat heads
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Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

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To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

Distance = Speed \times Time

Distance\ OA = 10 \times 2.5 = 25\ km

Distance\ OB = 16 \times 2.5 = 40\ km

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled \triangle AOB.

According to Pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km

The speed at which distance is increasing between the two boats is given as:

\dfrac{47.17}{2.5} \approx 18.87\ km/hr

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