Area of semi circle = π r²/2
= π 20 × 20 / 2
= 200 π
= 628 cm² (approx)
Answer:
9x
Step-by-step explanation:
Since you are subtracting a negative from a positive you would get 9
Here are the original equations:
2x + 2y = 14
x + 2y = 11
We immediately note that these two equations form a system. So, we can use substitution to solve the second equation for x. To do this, all that needs to be done is to subtract 2y from both sides, to get x = 11 - 2y. Next, we substitute the derived expression for x into the first equation to get 2(11-2y) + 2y = 14. We can use the distribute property to get 22 - 4y + 2y = 14. Then, we can combine like terms to get 22 - 2y = 14. After that, we subtract 22 from both sides to get -2y = -8. Finally, we divide -2 from both sides to get y = 4.
Now that we have the value for y, we can substitute our derived value into the second equation, since it will be much faster. After doing this, we get x + 2(4) = 11. We can simplify the left side of the equation and subtract the product from both sides, which gives us x = 4. Therefore, the answer to your query is x = 4, y = 4. Hope this helps and happy Halloween!
Answer:
1/2
Step-by-step explanation:
Problem 3
Disjoint events are two (or more) events that cannot happen at the same time. An example would be flipping heads and tails at the same time with the same coin. Another example is selecting an ace of spades and selecting an ace of diamonds, when you only select one card.
In general notation, P(A and B) = 0 if and only if A and B are disjoint.
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.3 + 0.1 - 0
<h3>P(A or B) = 0.4</h3>
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Problem 5
Same idea, but different numbers
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 1/3 + 1/4 - 0
P(A or B) = 4/12 + 3/12 - 0
<h3>P(A or B) = 7/12</h3>
