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sladkih [1.3K]
3 years ago
10

Select the correct answer

Mathematics
2 answers:
inna [77]3 years ago
6 0

Answer:

hey mate.

Step-by-step explanation:

Select the correct answer

What is the 10th term of the geometric sequence 3,6, 12, 24,48 ...?

A. 512

B. 3,072

C. 768

D. 1,536

is ... 768

FromTheMoon [43]3 years ago
5 0

Answer:

D

Step-by-step explanation:

The n th term of a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r is the common ratio

r = 6 ÷ 3 = 12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 2

Using a₁ = 3 and r = 2, then

a_{10} = 3 × 2^{9} = 3 × 512 = 1536 → D

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By how many degrees did the direction of the boat change
gulaghasi [49]

Answer:

The boat turned <u>39°</u> degrees when it made its first turn.

Step-by-step explanation:

The question is as following:

A boat traveled north for 28 miles, then tuned x° south west and traveled for 25 miles before stopping. When it stopped, the boat was 18 miles from its starting point.

By how many degrees did the direction of the boat change when it made its first turn? Round to the nearest degree.

===================================================

See the attached figure which represent explanation of the problem.

The boat start from point A to point B then stopped at point C

AB = 28 miles, BC = 25 miles and AC = 18 miles.

It is required to find the angle x

By applying the cosine Rule:

AC² = AB² + BC² - 2 * AB * BC * cos x

18² = 28² + 25² - 2 * 28 * 25 * cos x

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x = Cos⁻¹ 0.775 = 39.2° = 39° to the nearest degree.

So, the boat turned <u>39°</u> degrees when it made its first turn.

8 0
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Step-by-step explanation:

Let x represent the cost of one cheeseburgers.

Let y represent the cost of one Soda.

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Subtracting, it becomes.

- y = - 3

y = 3

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Jason accidentally locked himself out of his apartment, but remembered that he left a window open. The window is 8 feet above th
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