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anyanavicka [17]
3 years ago
5

Give complete answers that show all steps! :)

Mathematics
1 answer:
nasty-shy [4]3 years ago
4 0

Answer:

Rise: 200.25

Descent 300.2

Minutes

Step-by-step explanation:

A)        We are using the Pythagorean theorem for the climb and descent. (a^2 + b^2 = c^2)

For climb a = 200, b = 10 c = ?

200^2 + 10^2 = c^2 = 40000 + 100 = c^2 = 40100 = c^2

c = about 200.25

For the descent: a = 300, b = 10

300²+10² = c²

90000 + 100 = c²

90100 = c²

c = about 300.2

B) If a plane is going 600 km/h and it goes about 10 km that means the plane is only going for 10/600 of an hour.

10/600 is 1/60, so only a couple minutes difference.

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Answer:

l=0.1401P\\

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Given that a window is in the form of a rectangle surmounted by a semicircle.

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Or P = 2l+2.57w\\l = \frac{P-2.57w}{2}

To allow maximum light we must have maximum area

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Hence we get maximum area when i derivative is 0

i.e. P-5.14w+1.57 w=0\\3.57w =P\\w = \frac{P}{3.57} =0.2801P

l = \frac{P-2.57w}{2}\\l = 0.1401P

Dimensions can be

l=0.1401P\\w =0.2801P

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