We know that
if cos x is positive
and
sin x is negative
so
the angle x belong to the IV quadrant
cos x=5/13
we know that
sin²x+cos²x=1-------> sin²x=1-cos²x------> 1-(5/13)²---> 144/169
sin x=√(144/169)-------> sin x=12/13
but remember that x is on the IV quadrant
so
sin x=-12/13
Part A) <span>cos (x/2)
cos (x/2)=(+/-)</span>√[(1+cos x)/2]
cos (x/2)=(+/-)√[(1+5/13)/2]
cos (x/2)=(+/-)√[(18/13)/2]
cos (x/2)=(+/-)√[36/13]
cos (x/2)=(+/-)6/√13-------> cos (x/2)=(+/-)6√13/13
the angle (x/2) belong to the II quadrant
so
cos (x/2)=-6√√13/13
the answer Part A) is
cos (x/2)=-6√√13/13
Part B) sin (2x)
sin (2x)=2*sin x* cos x------> 2*[-12/13]*[5/13]----> -120/169
the answer Part B) is
sin(2x)=-120/169
Answer:
B. an Oligopoly
Step-by-step explanation:
A. monopolistically competitive
This options is not correct because the number os competitors is too small to talk about monopolistic competition.
B: an Oligopoly
This options is correct since market is controlled by just a few competitors.
C. purely competitive
this is wrong because the babysitters are not competing between them.
D. a monopoly
This option is wrong because there is more than one competitor.
Answer:
1 --> 26
5 --> 130
11 --> 286
24 --> 624
40 --> 1040
Step-by-step explanation:
to find unit rate divide 78 by 3 and you get 26 gallons, which means you can drive 26 miles with one gallon.
To find the amount of gallon for a certian number of miles, simply divide the number of miles by 26. Ex. 130/26 = 5 gallons
Answer:
A.2sinxcosx
Step-by-step explanation:
We know the trig identity
Sin (2a) = 2 sin a cos a
sin (2x) = 2 sin x cos x
