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anygoal [31]
3 years ago
5

A police car is located 40 feet on a small straight road perpendicular to main highway. A red car is driving along a highway in

the direction of an intersection with that small road and is 180 feet away from the intersection. The police radar reads that the distance between the police car and the red car (this distance is straight between them - not on either road) is decreasing at a rate of 100 feet per second. How fast is the red car actually traveling along the road
Mathematics
1 answer:
xeze [42]3 years ago
4 0

Answer:

the red car is traveling at 102.44 ft/s along the road

Step-by-step explanation:

From the given information:

Let consider p be how far the car is up the road and  q be how far the police is off the road.

Also, suppose that r is the distance between the police and the car.

Then, we can have a right triangle in which  we can use the Pythagorean Theorem to calculate the r (distance between the cop and the car)

NOW,

p² + q² = r²

r² = 40² + 180²

r² = 1600 + 32400

r² = 34000

r = \sqrt{34000}

r = 184.39

If we consider q'  to be how fast the car is traveling down the road.

And, p' be how fast the police is traveling toward the road.

r' be how fast the distance between the police and the car is changing.

then , the derivative of our equation, p² + q² = r² with respect to time can now be:

2p(p') +2q(q') = 2r(r')

p(p') +q(q') = r(r')

By replacing our values; we have:

40(0) +180(y') = \sqrt{34000} \times 100    (given that the police is not moving p' =0)

180(y') = \sqrt{34000} \times 100

(y') = \dfrac{\sqrt{34000} \times 100}{180}

(y') = \dfrac{184.39 \times 100}{180}

\mathbf{(y') = 102.44 \ ft/s}

the red car is traveling at 102.44 ft/s along the road

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Mean=(198+199+200+201+202)÷5
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For question be were gonna say for now that the height of our new player is represented by x. So we know that together there is 6 players and we know our answer so it should look something like this

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Answer:

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Step-by-step explanation:

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For example, if we had sets of 2 elements

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Combinations formula:

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C_{n,x} = \frac{n!}{x!(n-x)!}

In how many different ways can a jury of 12 people be randomly selected from a group of 40 people?

Here we have n = 40, x = 12.

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There are 5,586,853,480 different ways to select the jury.

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