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3 years ago

5

There are 40 teams competing in a soccer tournament.If 45% of the teams are from Essex county,how many teams are from Essex coun

ty?

1 answer:

REY [17]3 years ago

6 0

50%= 20
5%=2
45%=20-2
18 teams are from Essex county

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4 years ago

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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.

$Distance = Speed \times Time$

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

We can use Pythagorean Theorem to find the distance AB.

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

According to Pythagorean theorem:

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

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3 years ago