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murzikaleks [220]
3 years ago
6

In 1994, the moose population in a park was measured to be 3000. By 1998, the population was measured

Mathematics
1 answer:
dem82 [27]3 years ago
6 0

Answer:

  P(t) = 100t +2600

  4100 in 2005

Step-by-step explanation:

You are given two points for (year, population) = (t, p):

  (4, 3000), (8, 3400)

It is useful to use the two-point form of the equation for a line.

  p = (p2 -p1)/(t2 -t1)(t -t1) +p1

  p = (3400 -3000)/(8 -4)(t -4) +3000

  p = 400/4(t -4) +3000

  p = 100t +2600

  P(t) = 100t +2600 . . . . written in functional form

In 2005, the population is predicted to be ...

  P(15) = 100×15 +2600 = 4100

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He needs to move the ladder 0.1 ft closer to the base of the building.

The situation forms a right angle triangle.

<h3>Right angle triangle</h3>

Right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.

The length of the ladder is the hypotenuse of the triangle formed. Therefore, the distance, In feet, from the base of the ladder to the base of the wall can be calculated as follows;

cos 65° = adjacent / hypotenuse

cos 65° = d / 10

d = 10 × 0.42261826174

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She needs to move the ladder so it reached a window 9.6 feet above the ground. Therefore, the distance from the base of the ladder and the wall is as follows;

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Therefore, he needs to move the ladder 0.1 ft closer to the building.

learn more on right angle triangle here: brainly.com/question/14988069

8 0
2 years ago
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Answer:

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