Your answer is negative 9 and negative 4.
Answer:
36 movies.
Step-by-step explanation:
45
+
2.50
x
=
3.75
x
Here
x
=
NUMBER OF MOVIES
45
=
Annual rate
2.50
=
price of movie with annual fee
3.75
=
price of movie with no fee
Now we solve for
x
. Move
x
to one side by subtracting
2.50
x
on each side
45
=
1.25
x
We want
x
by itself, so divide
45
by each side.
45
1.25
=
x
x
=
36
Recall that
and
Then the given sequence could be written as
answer:
52
explanation:
52 is the highest shared factor of the two numbers.
52*5=260
52*7=364
--
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Answer:
1. 0, 2 π , π , 2 π/3 , 4 π/3
2. 7 π/6 , 11 π/6
Step-by-step explanation:
1. we want to find the value of theta
Let us represent theta by x for ease of documentation
So we have ;
sin 2x + sin x = 0
Mathematically;
sin 2x = 2sinxcosx
So;
2 sin x cos x + sin x = 0
sin x (2 cos x + 1) = 0
sin x = 0
or
2cos x + 1 = 0
x = arc sin (0)
within the given range;
x = theta = 0 , 2 π , π
For;
2 cos x + 1 = 0
2cos x = -1
cos x = -1/2
cos x = -0.5
x = arc cos (-0.5)
x = 2 π/3 , 4 π/3
2. cos 2 x = 1 + sin x
Mathematically;
cos 2 x = 1-2 sin^2x
let sin x = y
1-2y^2 = 1 + y
y = -2y^2
1 = -2y
y = -1/2
y = -0.5
sin x = y
sin x = -0.5
x = arc sin (-0.5)
x = 7 π/6 , 11 π/6
