There are 4 possibilities out of the 36 ways the dice can land:
... (3, 3), (3, 6), (6, 3), (6, 6)
Hence, the probability of an outcome in this set is 4/36 = 1/9.
Answer:
It's all about the brackets.
Step-by-step explanation:
If we do (-4)^2, the brackets make it -4 x -4 and the two negatives make a positive of 16.
If we do -4^2, that means that the 4 is squared before putting the minus sign there so you have 4x4 = 16 then put the minus to get -16.
Hope this helps!
treviglaslibrary
Step-by-step explanation:
Case 1 : |x| > a, => x > a or x < -a
Case 2 : |x| < a, => -a < x < a
Since this question follows Case 1, we will have an "or" inequality.
The first one is 9/16 you have to make 54 and 96 a fraction such as 54/96 then simplify
the second one is 1/5 you have to make 4 and 20 a fraction like this 4/20 then simplify
hope this helps!!
Answer:
7. 49
8. 10.4
Step-by-step explanation:
7) our hypotenuse is 8, and the side opposite the base of ladder and ground angle is 6, therefore we can use Sin
sin = opposite/hypotenuse
sin(x) = 6/8 = 3/4
sin-1(3/4) = 49
8) using the theorem that alternate exterior angles are congruent
the angle opposite side x is 30
tan = opposite/adjacent
tan(30) = x/18
x = 18tan(30) = 6√(3) = 10.4
you can also use 30-60-90 special right triangles.
the side opposite 30 is x
side opposite 60 is x√(3)
and side opposite 90 is 2x
