560 ft^2
20ft x 10ft = 200 ft^2
+
12ft x 30ft = 360 ft^2
=
560 ft^2
Answer:
7/25
Step-by-step explanation:
Probability = # of favorable outcomes / # of possible outcomes
Favorable outcomes = # of blue and yellow marbles
There are 3 yellow marbles and 4 blue marbles
There are 7 blue and yellow marbles so the favorable outcome is 7
Possible outcomes = total number of marbles
12 + 3 + 6 + 4 = 25
There are a total of 25 marbles
So possible outcomes = 25
If probability= favorable outcomes / possible outcomes then the probability of pulling a blue or yellow marble is 7/25
Answer:
8
Step-by-step explanation:
If you have some knowledge of complex numbers: This follows pretty much immediately from Euler's formula and DeMoivre's theorem,
(Euler)
(DeMoivre)
so that is the imaginary part of the expanded left hand side.
If that's unfamiliar to you, you can make use of several identities to expand :
(double angle sine)
(double angle sine and cosine)
(Pythagorean)