Answer:
x = π/4 and 5π/4
Step-by-step explanation:
Given the expression;
2cos²x - 1 = 0
2cos²x = 0+1
2cos²x = 1
cos²x = 1/2
cos x = ±√1/2
cos x = ±0.7071
x = arccos(±0.7071)
x = ±45 degrees
Convert to radians
Sence 180° = π rad
45° = x
x = 45π/180
x = π/4
If x = -45°
Since cos is negative in the 3rd quadrant
x = 180 + 45
x = 225°
x = 225π/180
x = 45π/36
x = 5π/4
Answer:
The answer is D
Step-by-step explanation:
(12 + 6) x ( 11 - 7) = 72
18 x 4 = 72
72 = 72
Theoretical probablity=desiredoutcomes/totalpossibleoutcomes
desired=number of white marbles=20
total possible=red+blue+white=30+50+20=100
so theoretical probablity=20/100=2/10=0.2=20%
Answer:
Yor awnser is C and D.
Step-by-step explanation:
<h2>
Answer:</h2>
There are 1757600 possibilities.
<h2>
Step-by-step explanation:</h2>
In a certain state, fishing licenses are in the form of LLL NN
L stands for a letter of the alphabet (a to z)
N stands for a one-digit number from 0 to 9.
Now, for the series LLL, 3 alphabets are placed that can be any from a to z. This means at each place, 26 letters can be placed.
Similarly, for NN, 2 numbers are placed that can be any, between 0 and 9. At each place 0 to 9 can be placed.
Hence, the total possible outcomes will be :
=1757600
Therefore the answer is 1757600 possibilities.