P(taking 2 socks of same cllour) = 1/15
Answer:
R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]
Step-by-step explanation:
Squaring both sides of equation:
I^2 = (ER)^2/(R^2 + (WL)^2)
<=>(ER)^2 = (I^2)*(R^2 + (WL)^2)
<=>(ER)^2 - (IR)^2 = (IWL)^2
<=> R^2(E^2 - I^2) = (IWL)^2
<=> R^2 = (IWL)^2/(E^2 - I^2)
<=> R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]
Hope this helps!
Answer:
x= 21
y= 3
z= 21
Step-by-step explanation:
Let the center be O,
=> Triangle AOD is an Isosceles triangle so AO≅DO, "21 = x"
=> Line AC is divided in two equal parts by the center so if AO= 21 then
7y = 21, and thus "y = 3"
=> BOC is also an Isosceles triangle so CO ≅ BO, if CO = 21 (7y → 7*3) then so will be BO. Therefore "z = 21"
we conclude that the center of the circle is the point (-5, 0).
<h3>How to find the center of the circle equation?</h3>
The equation of a circle with a center (a, b) and a radius R is given by:

Here we are given the equation:

Completing squares, we get:

Now we can add and subtract 25 to get:

Comparing that with the general circle equation, we conclude that the center of the circle is the point (-5, 0).
If you want to learn more about circles:
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The inverse of the statement is 'If it is Wednesday, then it is not sunny'
<h3>What is the inverse of a word?</h3>
The inverse of a word is simply the contrary nature or quality and could be termed opposite or reverse of a proposition or theorem that is formed by'
- contradicting both the subject and predicate
- Contradicting both the hypothesis and conclusion of a given proposition or theorem
For instance, the inverse of "if A then B" is "if not-A then not-B" and 'if not A, then B" is 'If A, not B ' is termed a compare contrapositive
From the information given, we have;
'If it is not Wednesday, then it is sunny'
We can see that the inverse of the proposition is;
'If it is Wednesday, then it is not sunny'
Thus, the inverse of the statement is 'If it is Wednesday, then it is not sunny'
Learn more about inverse here:
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