Answer:
Step-by-step explanation:
cos (x/2)=cos x+1
cos (x/2)=2cos ²(x/2)
2 cos²(x/2)-cos (x/2)=0
cos (x/2)[2 cos (x/2)-1]=0
cos (x/2)=0=cos π/2,cos (3π/2)=cos (2nπ+π/2),cos(2nπ+3π/2)
x/2=2nπ+π/2,2nπ+3π/2
x=4nπ+π,4nπ+3π
n=0,1,2,...
x=π,3π
or x=180°,540°,...
180°∈[0,360]
so x=180°
or
2cos(x/2)-1=0
cos (x/2)=1/2=cos60,cos (360-60)=cos 60,cos 300=cos (360n+60),cos (360n+300)
x/2=360n+60,360n+300
x=720n+120,720n+300
n=0,1,2,...
x=120,300,840,1020,...
only 120° and 300° ∈[0,360°]
Hence x=120°,180°,300°
D. 10 is your answer.
In order to solve a proportion, you cross multiply.
In this case it will be 40=4x
Solve for x is 10. Therefore D is your answer.
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Answer:
subtracting 5 from both sides
Step-by-step explanation:
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Answer:
a = 64
Step-by-step explanation:
The geometric mean of 2 numbers a and b is 
, then
= 16
( square both sides )
28a = (16 )² = 1792 ( divide both sides by 28 )
a = 64
Table:
4 cups of water, 5 cups of flour.
9 cups of water, 10 cups of flour.
16 cups of water, 17 cups of flour.
29 cups of water, 30 cups of flour.
Equation:
f-1=w
Independent variable:
F
Dependent variable:
W
