Answer: P = 166 units
Step-by-step explanation: Each point on the triangle has lines that are tangent to the circle in the triangle, meaning that those lines form a 90° angle to the middle point in the circle. There is also a rule that states if there are tangent lines coming from the points and if the points have at least one given side length, the other side will have the same side length. So if one side on point D is 41, then the other side connected to the point is 41. I added up all of the side lengths; 41 + 41 + 30 + 30 + 12 +12 = 166 units.
I hope this helps!
Remember
i²=-1 so
i³=-i
i⁴=1
so
5i⁴+2i³+8i²-4
5(1)+2(-i)+8(-1)-4
5-2i-8-4
-7-2i is the form
Answer: The probability is 0.46%.
The chance of each given event happening is 1/6 because there are 6 different number on the dice and only 1 number is chose.
Therefore to find the combined probability, we have to multiply all the individual probabilities.
(1/6) x (1/6) x (1/6)
Or
(1/6)^3
The answer is about 0.46%,
The number is -30
Exp
2/3=-20
1/3=-10
3/3=-30
The area of a parallelogram is equal to the base times the height.
In terms of algebra
A = b*h
We know the base is b = 8.2,the area is A = 65.6, though we don't know the height h. We can use algebra to solve
A = b*h
65.6 = 8.2*h
8.2*h = 65.6
8.2*h/8.2 = 65.6/8.2 <--- divide both sides by 8.2
h = 8
The height of the parallelogram is 8 inches