2cosx=2sin2x. Sin2x is an identity for 2sinxcos. So 2[2sinxcosx] gives you 4sinxcosx. 2cosx=4sinxcosx. Divide 2cosx on both sides and gives you 2sinx=0 and divide again, sinx=0. Sinx is 0 at 0 and 360 degrees, or pi and 2pi. So thats what x would be. 0,360,pi,2pi.
Answer:
Example: There are 7 packs of candy, but only two people can share it equally.
Step-by-step explanation:
7/2= 3.5. If each person gets 3.5 bags, they both have an equal amount.
For this case we have that by definition, the perimeter of the rectangle is given by:
Where:
W: Is the width of the rectangle
L: is the length of the rectangle
According to the data we have:
Substituting:
So, the width of the rectangle is 9 inches
So, the length of the rectangle is 15 inches
Answer:
the width of the rectangle is 9 inches
the length of the rectangle is 15 inches
Let's assume two variables x and y which represent the local and international calls respectively.
x + y = 852 = total number of minutes which were consumed by the company (equation 1)
0.06*x+ 0.15 y =69.84 = total price which was charged for the phone calls (Equation 2)
from equation 1:-
x=852 -y (sub in equation 2)
0.06 (852 - y) + 0.15 y =69.84
51.12 -0.06 y +0.15 y =69.84 (subtracting both sides by 51.12)
0.09 y =18.74
y= 208 minutes = international minutes (sub in 1)
208+x=852 (By subtracting both sides by 208)
x = 852-208 = 644 minutes = local minutes
