The value of
is 
<h3>
Sine ratio </h3>
The sine ratio is given as:

<h3>
Trigonometry</h3>
In trigonometry, we have the following ratio

Substitute
in the above equation

Collect like terms

Evaluate

Take square roots

Rationalize

From the question,
is in the second quadrant, and cosine is negative.
So, we have:

In trigonometry, we have:

So, we have:


Hence, the value of
is 
Read more about trigonometry ratios at:
brainly.com/question/10417664
This are also referred to as exponential sequence. The common ratio if r > 0 is 2
<h3>Geometric sequence</h3>
This are also referred to as exponential sequence. Given the following sequence
(7-2x),9,(5x+17)
If they are in geometric progression, hence;
9/7-2x = 5x+17/9
Cross multiply
7-2x(5x+17) = 9(9)
Expand
35x+119-10x²-34x = 81
-10x²+x+119-81=0
10x²-x-38 = 0
Factorize
10x²-20x +19x-38 = 0
10x(x-2)+19(x-2)= 0
x - 2 = 0
x = 2
Hence the common ratio if r > 0 is 2
Learn more on geometric sequence here: brainly.com/question/1509142
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3/4and7/9 use the greatest common factor
Answer:
672
Step-by-step explanation:
6x7x2