Calculate area of the white region inside circle.
Area of the two white triangles in top left and bottom right:
Area of the two white quarter circles in the bottom left and top right:
Total area of unshaded white region inside circle:
Area of entire circle including the white and shaded regions
Area of shaded region is area of entire circle - area of unshaded white region
Answer:
10√2
Step-by-step explanation:
This is a 45-45-90 triangle which means that the two non-hyptonouse lenghts are the same which means that the bottom lenght of the triangle is also 10 units
We can then use a^2+b^2=c^2 to solve for the last side
so we have
10^2+10^2=x^2
200=x^2
sqrt200=x
and I see that they want an exact answer so you simplify sqrt200 to
10√2
Answer:
720 different ways.
Step-by-step explanation:
Permutation has to do with arrangement. For example, in order to arrange 'n' objects in any order, this can only be done in n! ways since there is no condition or restriction on how to arrange the objects.
n! = n(n-1)(n-2)... (n-r)!
If there are 3 statistics books, 2 math books, and 1 computer science book on your bookshelf, the total number of books altogether is 3 + 2 + 1 = 6 books.
The number of ways that 6 books can be arranged in any order is 6!.
6! = 6(6-1)(6-2)(6-3)(6-4)(6-5)
6! = 6*5*4*3*2*1
6! = 120*6
6!= 720 different ways.
<em>Hence, the books on your shelf can be arranged in 720 different ways</em>.