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julsineya [31]
3 years ago
14

of the 50 fish that jim caught from the lake 14 were trout. the estimated population of the lake is 7,500 fish.about how many tr

out would you expect to be in the lake?
Mathematics
1 answer:
Mariulka [41]3 years ago
6 0
It would be estimated about 2,100 trouts I would say, since 7,500 divided by 50 is 150 so 150 x 14 = 2,100 trouts :)
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The point P(21,35) is on the terminal side of an angle in standard position. What is the distance from P to the origin?
Ira Lisetskai [31]

Answer:

The distance from P to origin is approximately 40.82 units.                                  

Step-by-step explanation:

We are given the following in the data:

The point P(21,35)

We have to find the distance of point P from the origin.

Coordinates of origin: (0,0)

Distance formula:

(x_1,y_1),(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}

Putting the values, we get,

(21,35), (0,0)\\\\d = \sqrt{(0-21)^2 + (0-35)^2} = \sqrt{1666} = 7\sqrt{34} \approx 40.82\text{ units}

The distance from P to origin is approximately 40.82 units.

7 0
3 years ago
Directed line segment AB has endpoints A(2,3) and B(8,15). Point P has coordinated P(6,11). What ratio does P partition AB into?
Vladimir79 [104]
Refer to the graph shown below. It confirms that points A, B and P are
 collinear.

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a = √[(6 - 2)² + (11 - 3)²]
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Calculate the length of BP (as b).
b = √[(8 - 6)² + (15 - 11)²]
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Calculate ratio a/b.
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Answer:  2:1 ratio.

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3 years ago
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Mrrafil [7]
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or
you could manually subtract two from 6 each days as in 12-2=10 (1 day), 10-2=8 (2 days), and so on...
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If a is the number of events, then a = 1. Plugging in 1 for a in the equation C=a+8, you get C=1+8=9.

Total cost is $9.
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3 years ago
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Substitute -3 to x

(-3)^2 + 4(-3) + 1

9 - 12 + 1

= -2
3 0
2 years ago
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