Answer:
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Step-by-step explanation:
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We have been given that a right △ABC is inscribed in circle k(O, r).
m∠C = 90°, AC = 18 cm, m∠B = 30°. We are asked to find the radius of the circle.
First of all, we will draw a diagram that represent the given scenario.
We can see from the attached file that AB is diameter of circle O and it a hypotenuse of triangle ABC.
We will use sine to find side AB.






Wee know that radius is half the diameter, so radius of given circle would be half of the 36 that is
.
Therefore, the radius of given circle would be 18 cm.
Answer:
1/2
Step-by-step explanation:
(-9,6), (-3,9)
y2 - y1 = 9 - 6 = 3
x2 - x1 = -3 - -9 = 6
= 3/6 = 1/2
Answer:
-3 < x < 3
x is some number between -3 and 3; x cannot equal -3, x cannot equal 3
graph shown below
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Work Shown:
5|x| + 3 < 18
5|x| + 3 - 3 < 18-3 ... see note 1
5|x| < 15
(5|x|)/5 < 15/5 .... note 2
|x| < 3
-3 < x < 3 .... note 3
graph shown below
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note 1: Subtract 3 fom both sides to undo the "+3"
note 2: Divide both sides by 5 to undo the multiplication
note 3: If |x| < k, for some positive number k, then -k < x < k
The number that produces an irrational number when multiplied by 0.4 is 3π. The correct option is A. 
To determine which number produces an irrational number when multiplied by 0.4
First and foremost, 0.4 is a rational number.
A rational number is a number that is of the form
where p and q are integers and q is not equal to 0.
0.4 can be written as
or
, hence, it is a rational number.
Now,
Any irrational number when multiplied by a rational number other than zero will also be irrational.
Therefore, we are to determine which of the given options is an irrational number.
π is an irrational number, therefore 3π is also an irrational number
0.444... can be expressed as 4/9, therefore it is a rational number
- For option C.

= 3, which can be expressed as 3/1, therefore it is a rational number
- For option D.

is a rational number
The only irrational number among the given options is 3π
Hence, the number that produces an irrational number when multiplied by 0.4 is 3π. The correct option is A. 
Learn more here: brainly.com/question/11763957