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slavikrds [6]
3 years ago
15

Please answer!!! Will award brainliest!!!! TY

Mathematics
1 answer:
-Dominant- [34]3 years ago
8 0

Answer:

It said there was 5 green marbles, and it said to draw 5, and you have 5 Green marbles, so green marbles is good to pick.

Step-by-step explanation:

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An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each oth
sattari [20]
They are traveling at right angles to each other so we can say one is traveling north to south and the other west to east.  Then we can say that there positions, y and x are:

y=150-600t  x=200-800t

By using the Pythagorean Theorem we can find the distance between these two planes as a function of time:

d^2=y^2+x^2, using y and x from above

d^2=(150-600t)^2+(200-800t)^2

d^2=22500-180000t+360000t^2+40000-320000t+640000t^2

d^2=1000000t^2-500000t+62500

d=√(1000000t^2-500000t+6250)

So the rate of change is the derivative of d

dd/dt=(1/2)(2000000t-500000)/√(1000000t^2-500000t+6250)

dd/dt=(1000000t-250000)/√(1000000t^2-500000t+6250)

So the rate depends upon t and is not a constant, so for the instantaneous rate you would plug in a specific value of t...

...

To find how much time the controller has to change the airplanes flight path, we only need to solve for when d=0, or even d^2=0...

1000000t^2-500000t+62500=0

6250(16t^2-8t+1)=0

6250(16^2-4t-4t+1)=0

6250(4t(4t-1)-1(4t-1))=0

6250(4t-1)(4t-1)=0

6250(4t-1)^2=0

4t-1=0

4t=1

t=1/4 hr

Well technically, the controller has t<1/4 because at t=1/4 impact will occur :)


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3 years ago
PLEASE HELP WITH GRAPHING QUESTION ASAP!!
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x-int: -0.5; y-int: 1

7 0
3 years ago
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Find the area of the figure.
AURORKA [14]

Answer:

28.5 united squared

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2 years ago
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Sales £18,500.00 staff £3367. what is this as a percentage
Oksi-84 [34.3K]
(3,367/18,500)=0.182 which is <em>18.2%</em>
7 0
3 years ago
Asher pays 156 every 6 weeks for piano lessons what is the price per year for piano lessons
Anna [14]
356 days in a year / 7 days in a week = 50.8 weeks in a year

50.8 weeks in a year / 6 weeks = 8.48 payments

$156 x 8.48 payments = $1322.88 per year
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