Answer:
Step-by-step explanation:
The answer is 173. Just use the calculator
Answer:
6
Step-by-step explanation:
9 ^3 =3^m
(3^2) ^3 =3^m
3 ^(2×3)=3^m
3 ^6 =3 ^m
m =6
Answer:
9 : 1
Step-by-step explanation:
given a linear ratio = a : b, then the corresponding area ratio is
a² : b²
Here the linear ratio of their edges = 3 : 1, hence
ratio of surface areas = 3² : 1² = 9 : 1
We'll use the following properties of sine and cosine to prove this:



Then it's just a matter of filling it in...
sin20sin40 * sin60sin80 = 1/2(cos20 - cos60) * 1/2 (cos20 - cos140) =
1/8( cos40 + 1 - cos160 - cos120 - cos40 - cos80 + cos80 + cos200) =
1/8(1 - cos160 - cos120 + cos200) =
1/8(1 - cos160 - cos120 + cos160) =
1/8(1 - cos120 ) = 1/8( 1 + 1/2 ) = 3/16