3 years ago

When the car moves forward by 180cm , each wheel does one full turn . What is the diameter of the wheels to the nearest cm?

Mathematics

1 answer:

Sav [38]3 years ago

3 0

Since 180cm is one full turn you divide it by pie which is 3.14

=180/3.14

=180/3 (Rounded down)

=60

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What is the image point of (1,-2) after a translation right 4 units and down 4units

zepelin [54]

Answer:

(-4, -1)

Step-by-step explanation:

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3 years ago

An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each oth

muminat

So.... notice the picture below

we know when y = 140 and x = 240, r = 250

so let's use the pythagorean theorem

$\bf r^2=x^2+y^2\implies 2r\cfrac{dr}{dt}=2x\cfrac{dx}{dt}+2y\cfrac{dy}{dt}\implies \cfrac{dr}{dt}=\cfrac{x\frac{dx}{dt}+y\frac{dy}{dt}}{r}
\\\\\\
\cfrac{dr}{dt}=\cfrac{240\cdot 480+70\cdot 140}{250}\implies \cfrac{dr}{dt}=500$

now... how much time does the controller have? well, say, plane "y" is going at dy/dt of 140mph, and is 70 miles away, 140 is 2*70, so it can cover those 70 miles in 1/2 hr, and when it does, it'll collide with the other,

so, the controller has that much, less than 1/2 hr