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2 years ago

Area and perimeter pls

Mathematics

1 answer:

Alla [95]2 years ago

3 0

Perimeter 97.24

90 + 5 + 2.25

Area 1008

90 * 5 * 2.24 = 1008

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Two boats sail away from a buoy making a 90 degree angle. The first boat is 165 meters away and is traveling at 25 m/s. The seco

NikAS [45]

Answer:

Step-by-step explanation:

lets say in the shown triangle x=165

so speed $\frac{dx}{dt} =25$

and $\frac{dy}{dt} =35$

Also since distance = speed* time

time = pi minutes = pi/60 seconds

y = $\frac{35\pi \pi }{60}$

y = $\frac{7\pi }{12}$

Now using the pythagorean :

$x^2+y^2=z^2\\so \\165^2+(\frac{7\pi }{12} )^2 =z^2$

derivate the equation so we get :

$x\frac{dx}{dt} +y\frac{dy}{dt} =z\frac{dz}{dt} \\$ $165*25+35*\frac{7\pi }{12}=\sqrt{165^2+(\frac{7\pi }{12})^2} *\frac{dz}{dt}$

$\frac{dz}{dt} =25.387$ m/s

So Rate of change = 25.387 m/s

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2 years ago

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Area = Length * Width
A = (2x - 4) * (x + 5)
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A = 2x² + 6x - 20

In short, Your Answer would be Option C

Hope this helps!

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