Answer:
9.5
Step-by-step explanation:
The legs of the triangle are
3 and 9
From the Pythagorean Theorem
c² = a²+ b²
c² = 3² + 9²
c² = = 9 + 81
c² = 90
Take the square root of both sides
c = 9.4868329805
Rounded
9.5
Answer:b
Step-by-step explanation:
Answer: The required probability is 
Step-by-step explanation: Given that an urn contains 6 red marbles and 4 black marbles. Two marbles are randomly drawn one by one from the urn without replacement.
We are to find the probability that both drawn marbles are black.
Let E and F denote the events of two marbles one by one without replacement and let S and S' denote the corresponding sample spaces.
Then, we have
Therefore, the probability that both marbles are red is given by
Thus, the required probability is
Answer:
x=3 and y= -1
Step-by-step explanation:
Step 1: Solve2x+y=5 for y:
2x+y=5
2x+y+−2x=5+−2x(Add -2x to both sides)
y=−2x+5
Step 2: Substitute−2x+5foryin5x+3y=12:
5x+3y=12
5x+3(−2x+5)=12
−x+15=12(Simplify both sides of the equation)
−x+15+−15=12+−15(Add -15 to both sides)
(Divide both sides by -1)
x=3
Step 3: Substitute3forxiny=−2x+5:
y=−2x+5
y=(−2)(3)+5
y=−1(Simplify both sides of the equation)
Answer:
x=3 and y=−1
