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3 years ago

Evaluate the geometric series below. Please show your work.

Mathematics

1 answer:

lesya692 [45]3 years ago

4 0

Answer:

-1310715

Step-by-step explanation:

By the formula of a geometric sequence, we work out:

$\sum_{k=1}^{18} -5 \cdot 2^{k-1}\\= -5 \cdot \sum_{k=0}^{17} 2^{k}\\= -5 \cdot \frac{2^{18}-1}{2-1}\\= -1310715$

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Answer:

1.56%

Step-by-step explanation:

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3 years ago

Water is being drained at a constant rate from a tank.

saw5 [17]

Answer:

Step-by-step explanation:

1000 gallons - 940 = 60 then divide by the time which gets us 60/10=6

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3 years ago

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Dmitry [639]

Answer:

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Step-by-step explanation:

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2 years ago

Two angles whose sides are opposite rays are called ____ angles. Two coplanar angles with a common side, a common vertex, and no

Dimas [21]

Two angles whose sides are opposite rays are called vertical angles. Two coplanar angles with a common side, a common vertex, and no common interior points are called adjacent angles.

<h3>Further explanation </h3>

Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. They share a vertex and side, but do not overlap. The example is shown in the picture below.

Where ∠1 and ∠2 are adjacent angles, ∠ABC and ∠1 are NOT adjacent angles because ∠ABC overlaps ∠1.

Vertical Angles are two angles whose sides form two pairs of opposite rays (straight lines). Vertical angles are located across from one another in the corners of the "X" formed by the two straight lines. The example is shown in the picture below.

Where ∠1 and ∠2 are vertical angles, ∠3 and ∠4 are vertical angles, Vertical angles are not adjacent. ∠1 and ∠3 are not vertical angles (they are a linear pair) and Vertical angles are always equal in measure.

<h3>Learn more</h3>

Learn more about vertical angles brainly.com/question/2448393
Learn more about pair of angles brainly.com/question/1358595
Learn more about adjacent angles brainly.com/question/10557061

<h3>Answer details</h3>

Grade: 9

Subject: mathematics

Chapter: pair of angles

Keywords: vertical angles, adjacent angles, pair of angles, complementary angles, horizontal angles

7 0

3 years ago

Read 2 more answers