Answer:
4cm^2
Step-by-step explanation:
First we need to find the length of the height of the triangle using Pythagoras:
a^2+b^2=c^2 (Substitute in what we have)
a^2+3√2(^2)=2√5(^2) = a^2 + 18 = 20 -> 20-18=2 √2=BD
Now we can find the area:
AD+DC= 3√2 + √2 = 4√2 x √2 = 8/2 = 4
The probability is 1/5.
<h3>
How to find the probability?</h3>
There are 3 red marbles and 3 white marbles, for a total of 6.
The probability that the first marble is red is:
P(red) = 3/6
The probability that the second marble is also red is:
P(red') = 2/5 (because now there are 2 red marbles and a total of 5).
The joint probability is:
P = (3/6)*(2/5) = 1/5
If you want to learn more about probability:
brainly.com/question/25870256
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been good, how has yours been?
The solution of the given expression is ![[p^{2}(p-y)^{y-1} (p-y)^{y-2} -2p(p-y)^{y} (p-y)^{y-2} +7(p-y)^{y} (p-y)^{y-1}]/ (p-y)^{y} (p-y)^{y-1}(p-y)^{y-2}](https://tex.z-dn.net/?f=%5Bp%5E%7B2%7D%28p-y%29%5E%7By-1%7D%20%28p-y%29%5E%7By-2%7D%20-2p%28p-y%29%5E%7By%7D%20%28p-y%29%5E%7By-2%7D%20%2B7%28p-y%29%5E%7By%7D%20%28p-y%29%5E%7By-1%7D%5D%2F%20%20%28p-y%29%5E%7By%7D%20%28p-y%29%5E%7By-1%7D%28p-y%29%5E%7By-2%7D)
Given 
We have to solve the above expression.
We know that expression is a combination of numbers, symbols, variables and coefficients, indeterminants. Expression shows relationship between variables. LCM is the smallest number that is divisible by both the numbers whose LCM has been taken. Coefficients are present in the beginning of variables. Symbols are arithmetic signs like addition, subtraction, multiplication and division, etc.
We have to take LCM of the expression and solve accordingly so that the expression can be solved =
= ![[p^{2}(p-y)^{y-1} (p-y)^{y-2} -2p(p-y)^{y} (p-y)^{y-2} +7(p-y)^{y} (p-y)^{y-1}]/ (p-y)^{y} (p-y)^{y-1}(p-y)^{y-2}](https://tex.z-dn.net/?f=%5Bp%5E%7B2%7D%28p-y%29%5E%7By-1%7D%20%28p-y%29%5E%7By-2%7D%20-2p%28p-y%29%5E%7By%7D%20%28p-y%29%5E%7By-2%7D%20%2B7%28p-y%29%5E%7By%7D%20%28p-y%29%5E%7By-1%7D%5D%2F%20%20%28p-y%29%5E%7By%7D%20%28p-y%29%5E%7By-1%7D%28p-y%29%5E%7By-2%7D)
Hence the expression
is equal to = ![[p^{2}(p-y)^{y-1} (p-y)^{y-2} -2p(p-y)^{y} (p-y)^{y-2} +7(p-y)^{y} (p-y)^{y-1}]/ (p-y)^{y} (p-y)^{y-1}(p-y)^{y-2}](https://tex.z-dn.net/?f=%5Bp%5E%7B2%7D%28p-y%29%5E%7By-1%7D%20%28p-y%29%5E%7By-2%7D%20-2p%28p-y%29%5E%7By%7D%20%28p-y%29%5E%7By-2%7D%20%2B7%28p-y%29%5E%7By%7D%20%28p-y%29%5E%7By-1%7D%5D%2F%20%20%28p-y%29%5E%7By%7D%20%28p-y%29%5E%7By-1%7D%28p-y%29%5E%7By-2%7D)
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