8 sides
the exterior angle = 180° - 135° = 45° ( exterior/ interior are supplementary )
the sum of the exterior angles of a polygon = 360°
number of sides =
= 8
Answer:
Step-by-step explanation:
look this solution
Answer:
see explanation
Step-by-step explanation:
Using the double angle identity for sine
sin2x = 2sinxcosx
Consider left side
cos20°cos40°cos80°
=
(2sin20°cos20°)cos40°cos80°
=
(2sin40°cos40°)cos80°
=
(sin80°cos80° )
=
(2sin80°cos80° )
=
. sin160°
=
. sin(180 - 20)°
=
. sin20°
=
= right side , thus proven
Answer:
Step-by-step explanation:
B = {p , q , r}
Number of subsets = 
Her, n is the number of elements in the set.
Number of subsets = 2³ = 8
Answer:
5 ways
Step-by-step explanation:
We have to name the cases.
1. 4 - 0 - 0 - 0
2. 3 - 1 - 0 - 0
3. 2 - 2 - 0 - 0
4. 2 - 1 - 1 - 0
5. 1 - 1 - 1 - 1
We don't name 0 - 0 - 1 - 3 or 0 - 1 - 1 - 2 etc. because it is the same thing.