Answer: D.
Step-by-step explanation:
In the given figure, we have an obtuse triangle which has sides a, b, and c, and the angle opposite the side of length b is obtuse.
∵ In a triangle, the side opposite to the largest angle is largest.
Thus, the largest side in then given obtuse triangle= c
The Pythagorean inequalities theorem says that If a triangle is obtuse than the square of the largest side is greater than the sum of square of other two sides.
Therefore, we have
Answer: Hence, our required probability is 
Step-by-step explanation:
Since we have given that
Numbers in a lottery = 60
Numbers to win the jackpot = 7 numbers
We need to find the probability to hit the jackpot:
So, our required probability is given by
This is a combination problem as we need to select 7 numbers irrespective of any arrangements.
Hence, our required probability is [tex]\dfrac{1}{386206920}[/tex
Answer:
six raised to the one twelfth power
Step-by-step explanation:
The cubed root of 6/the fourth root of 6 equals (6^1/3)/(6^1/4)
6^((1/3)-(1/4))
6^((4-3)/12)
6^1/12
Answer:
Given the domain, the range for 3x-y = 3 is {-9, 6, 9}
Step-by-step explanation:
First you have to put the relation in terms of y ⇒ 3x - y = 3⇒ 3x -3 = y
⇒ y = 3x - 3.
Then you replace the values indicated by the domain to find their "y" values (the ones that constitute the range).
f(-2) = -9
f(2) = 6
f(4) = 9.
Finally, the range for the given domain is {-9, 6, 9}
Answer:
If the dimension increased by doubled, tripled or quadrupled, then it will be 2x, 3x, or 4x for each dimension.
