There are 20 blue marbles and 10 red marbles in a bag .if a marble is drawn at random once ,what is the probability that it will
2 answers:
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Answer:
r =
Step-by-step explanation:
So we need to complete the square for both parts of the equation
First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6
So first we can complete the square for x² + 2x
To do so we need to use to figure out the number we need to add to both sides
In this case our b is 2, so substituting this in we get
Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1
Now we can follow the same steps to complete the square for y² + 4y
Here our b is 4, so substituting this in we get
Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4
Now condensing everything we have (x + 1)² + (y + 2)² = 11
The formula for a circle is (x - h)² + (y - k)² = r²
In our equation we have r² = 11
To find the radius we need to take the square root of both sides to get r =
Answer:
B) 3.44 feet
<em>The Radius of the circle 'r' = 3.439 ≅3.44 feet</em>
Step-by-step explanation
<u><em>Step(i)</em></u>:-
<em>Given data the length of arc = 3.6 feet long</em>
l = 3.6 feet
Given central angle 'θ' =
<u><em>Step(ii)</em></u>:-
The arc length 'l' of a circle of radius 'r' with central angle 'θ' radians is given by
Arc length l = r θ
<em> </em>3.6 = r ()
put π = 3.14
now simplification, we get
<u><em>Conclusion</em></u>:-
<em>The Radius of the circle 'r' = 3.439 ≅3.44 feet</em>
