(x-12)(x-1) is the answer.
This is a 3 step problem. First you ignore the hole in the middle and find the volume anyways. Then you find the volume of the empty middle part. Then you can find the volume of the actual shape by subtracting them.
area of a circle is= pi r^2
Volume with hole: 5*5*pi*8=200pi
Volume of hole= 1.5*1.5*pi*8= 18pi
Volume of doughnut = 200pi-18pi=182pi=571.769863u^3
r is the radius which is half of the diameter.
pi is a big number but you can use 3.14
the formula for finding the volume is area of base times height. That's why i multiplied it by 8.]
I hope this helps
Complementary events are the events which are opposite of the given event.
For example, for a "rainy day", its complimentary event is "not a rainy day".
We can also say, If A is a given event, then " not A" is its complimentary event.
In the given question we have been given the event of choosing a girl's name when drawing names from a cup in class.
Now in class as there can be boys or girls, the complimentary even of choosing a girl's name is choosing a boy's name.
Option C) is the right answer.
Angle 2 and angle 11 are alternate exterior angles. Line G and line L are parallel lines. Think of them as train tracks. On the outside or exterior of the train tracks is angle 2 and angle 11.
Angle 2 is on the right side of the transversal line, while angle 11 is on the left side of the transversal line.
So this is why they are alternate exterior angles. Because line G and line L are parallel lines, this means the alternate exterior angles are congruent (by the alternate exterior angle theorem).
Since angle 2 is 115 degrees, angle 11 must also be 115 degrees
Answer: C) 115
