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Marizza181 [45]
3 years ago
13

Algebra 2 questions

Mathematics
1 answer:
Debora [2.8K]3 years ago
3 0
Answer is y/y+x for dis problem
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23.6 i hope it helps I'm not sure if its right
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Find the length of AB. Leave
vovikov84 [41]

Answer:

<em>AB = 3π</em>

Step-by-step explanation:

<em>See attachment for correct format of question.</em>

Given

From the attachment, we have that

θ = 20°

Radius, r = 27

Required

Find length of AB

AB is an arc and it's length can be calculated using arc length formula.

Length = \frac{\theta}{360} * 2\pi r

<em>Substitute 20 for θ and 27 for r</em>

Length = \frac{20}{360} * 2\pi *27

Length = \frac{20 * 2\pi * 27}{360}

Length = \frac{1080 \pi}{360}

Length = 3\pi

Hence, the length of arc AB is terms of π is 3π

3 0
3 years ago
Find the oth term of the geometric sequence 7, 14, 28, ...
yaroslaw [1]

Answer:

The nth term of the geometric sequence 7, 14, 28, ... is:

a_n=7\cdot \:2^{n-1}

Step-by-step explanation:

Given the geometric sequence

7, 14, 28, ...

We know that a geometric sequence has a constant ratio 'r' and is defined by

a_n=a_1\cdot r^{n-1}

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

Computing the ratios of all the adjacent terms

\frac{14}{7}=2,\:\quad \frac{28}{14}=2

The ratio of all the adjacent terms is the same and equal to

r=2

now substituting r = 2 and a₁ = 7 in the nth term

a_n=a_1\cdot r^{n-1}

a_n=7\cdot \:2^{n-1}

Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

a_n=7\cdot \:2^{n-1}

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3 years ago
Solve the compound inequality. graph the solution
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-2 <= 2x - 4 < 4
-2 + 4 <= 2x < 4 + 4
2 <= 2x < 8
2/2 <= x < 8/2
1 <= x < 4
5 0
3 years ago
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