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icang [17]
3 years ago
12

A certain forest covers an area of 3900 km2 . suppose that each year this area decreases by 8% . what will the area be after 10

years? use the calculator provided and round your answer to the nearest square kilometer.
Mathematics
1 answer:
stiv31 [10]3 years ago
3 0

<span><span>A = P(1-r)^t
</span><span>
A = 3900(1-0.08)^10

A = 3900(0.92)^10 </span></span><span><span>

A = 3900(0.434388454)

A = 1694.11

1694 square km</span></span>


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a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s
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The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman  = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

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The two triangles are similar [As height of woman is parallel to the height of pole]

\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\

To find the speed, we have to differentiate both sides with respect to time 't'

\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

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6 0
1 year ago
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Answer:

Step-by-step explanation:

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Please include work
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Answer:

9.     6k + 5 and 2k - 1.

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Step-by-step explanation:

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