Answer:
x=21 interior angle =150 exterior angle=210
Step-by-step explanation:
to find the angle rule=(n-2)×180
n is the number of sides in the polygon
(12-2)×180=1800
1800/12=150 (this is the interior angle)
7x+3=150
x=21
exterior angle = 360-150=210
Theres information missing in the question. There should be one more pair of coordinates
Answer:
1320 ways
Step-by-step explanation:
To solve we need to use permutations and factorials. If we wanted to find where they would all place 1-12, we would do 12!
12! is the same as 12x11x10x9x8... etc
But in this problem, we are only looking for the top 3.
We can set up a formula
N is the number of options that are available and r represents the amount we are choosing
In this case, we have 12 teams so n=12
We are looking for the top 3 so r=3
We expand the equation and cancel out
Notice how both sides can cancel out every number 9 and below
That leaves us with 12x11x10
1320 ways
Answer with explanation:
The equation of two curves are
y=8 sin x
y=8 cos x
The point of intersection of two curves are
→8 sin x=8 cos x
sinx = cos x
When you will look between points , 0 and ,the curve obtained is right angled triangle.
Now, rotate the curve that is right angled triangle along the line , y= -1, to obtain a shape similar or resembling with Right triangular prism.
Draw a circular disc in the right triangular prism , having radius =x,and small part on the triangle having length dx.dx varies from 0 to .
Required volume of solid obtained
=8-4√2 cubic units
Answer:
25% is the same as 1/4. So to find 25% of a quantity, divide it by 4. First find 10% of it. Then find 1% of it, and use that 1% to find 2% of it.
Step-by-step explanation: