Step-by-step explanation:
2sin(x)cos(x) - sin(x) + 2cos(x)-1= 0
<=> sinx( 2cosx -1) + ( 2cosx -1) =0
<=> (sinx +1) + ( 2cosx-1)=0
<=> sinx=-1 or cosx= 1/2
+) sinx=1 => x= pi/2 + k×2pi
+)cosx=1/2 => x= pi/3+ k×2pi or x=-pi/3 + k×2pi
x€ [0,2pi] => x= pi/2, pi/3.
Answer:
16 3 goes into 48 16 times.
Step-by-step explanation:
48÷3 = 16 3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3=48
Volume is a three-dimensional scalar quantity. The volume of the cube with side length of 4 inches is 64 inches³.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the volume of a cube is the cube of the length of a side. If a side is S, the volume is S^3. Therefore, the volume of cube with side 4 inches will be,
Volume of the cube = (4 in)³ = 64 in³
Hence, the volume of the cube with side length of 4 inches is 64 inches³.
Learn more about Volume:
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Answer:
D.
Step-by-step explanation:
Two events A and B are independent when
where 
is the probability that event A occurs given that event B has occured.
A = randomly selected person is from California
B = randomly selected person preferred brand A
A|B = being a person from California and preferring brand A.
Hence,
Since 
events are independent.
