Step-by-step explanation:
the area of the square is (x+2)^2 and the factored form of it is x^2+4x+4
since we know the area is = 7 therefore
x^2 + 4x +4 = 7 and x^2 + 4x = 3
if you want to find the value of x :
x^2+4x+4 = 7
x^2+4x -3 = 0
(x-3)(x-1)=0
x = 3 or
x = 1
Answer:
99/14
Step-by-step explanation:
(3.25 + 2/7) / ( 3/5 * 5/6)=(3.25+2/7) / (1/2)=(3.25+2/7)*2=(99/28)*2=99/14
4•(-24)-3 You don't need any parenthesis because it's order of operations
Answer: 0.51
Step-by-step explanation:
This is a conditional probability. The first event is the airplane accident being caused by structural failure. The probability of it being due to structural failure is 0.3 and the probability of it not being due to structural failure is 0.7. The second event involves the diagnosis of the event. If a plane fails due to structural failure, the probability that it will be diagnosed and the results will say it was due to structural failure is 0.85, and the probability that the diagnosis is unable to identify that it was because of a structural failure is 0.15. If the plane were to fail as a result of some other reason aside structural failure, the probability that the diagnosis will show that it was as a result of structural failure is 0.35 and the probability of the diagnosis showing that is is not as a result of structural failure is 0.65. To find the probability that an airplane failed due to structural failure given that it was diagnosed that it failed due to some malfunction, this is the equation;
p = (probability of plane failing and diagnosis reporting that the failure was due to structural failure)/ (probability of diagnosis reporting that failure was due to structural failure)
p = (0.3*0.85)/((0.3*0.85) + (0.7*0.35))
p = 0.51
The length of the smaller leg is 3.79
<h3>How to determine the length of the smaller leg?</h3>
Represent the smaller leg with x.
So, we have:
-- Pythagoras theorem
This gives
2x^2 = 144/5
Divide by 2
x^2 = 72/5
This gives
x^2 = 14.4
Take the square root
x = 3.79
Hence, the length of the smaller leg is 3.79
Read more about right triangles at
brainly.com/question/6322314
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