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3 years ago

HELP 20 POINTS!!! Does the infinite geometric series diverge or converge? Explain.

Mathematics

2 answers:

Nitella [24]3 years ago

8 0

Answer:

c. it converges, it has a sum

Thepotemich [5.8K]3 years ago

4 0

Answer:

It converges; it has a sum, I did the test and got 100%

Step-by-step explanation:

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Answer:

62.5 minutes

Step-by-step explanation:

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3 years ago

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Anika is hiking on a rectengular trail at the nation park there are four resting spots along the corners of the trail on the map

Drupady [299]

Answer:

The perimeter is 14 units

Step-by-step explanation:

Given

$A = (-2,2)$

$B = (1,2)$

$C = (1,-2)$

$D = (-2,-2)$

Required

Determine the perimeter

To do this, we simply calculate the distance between the sides of the rectangle i.e. AB, BC, CD and DA.

Distance (d) is calculated using:

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

For AB

$A = (-2,2)$ --- $(x_1,y_1)$

$B = (1,2)$ --- $(x_2,y_2)$

$AB = \sqrt{(-2 - 1)^2 + (2 - 2)^2} = \sqrt{9} = 3$

For BC

$B = (1,2)$ --- $(x_1,y_1)$

$C = (1,-2)$ --- $(x_2,y_2)$

$BC = \sqrt{(1-1)^2 + (2--2)^2} = \sqrt{16} = 4$

For CD

$C = (1,-2)$ --- $(x_1,y_1)$

$D = (-2,-2)$ --- $(x_2,y_2)$

$CD = \sqrt{(1 - -2)^2 + (-2 -- 2)^2} = \sqrt{9} = 3$

For DA

$D = (-2,-2)$ --- $(x_1,y_1)$

$A = (-2,2)$ --- $(x_2,y_2)$

$DA = \sqrt{(-2--2)^2 + (-2-2)^2} = \sqrt{16} = 4$

So, the perimeter (P) is:

$P = AB + BC + CD + DA$

$P = 3 +4 + 3 + 4$

$P = 14$

<em>The perimeter is 14 units</em>

5 0

3 years ago