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Find the area of each polygon

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1 answer:

sveticcg [70]3 years ago

6 0

#1. 5 square inches
#2. 12 square feet
#3. 24 square yards

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An airplane is flying at a speed of 500 mi/h at an altitude of one mile. The plane passes directly above a radar station at time

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Answer:

a) $s=\sqrt{1+d^2}$

b)d(t)=500t

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Step-by-step explanation:

d = Horizontal distance

s = the distance between the plane and the radar station

The horizontal distance (d), the one mile altitude, and s form a right triangle.

So, use Pythagoras theorem

$Hypotenuse^2=Perpendicular^2+Base^2$

$s^2=1^2+d^2$

a) $s=\sqrt{1+d^2}$

(b) Express d as a function of the time t (in hours) that the plane has flown.

$distance = speed \times time$

d(t)=500t

$s(t) =\sqrt{1+d^2}$

using b

$s(t) =\sqrt{1+(500t)^2}\\s(t) =\sqrt{1+250000t^2}$

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