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Step-by-step explanation:
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The x coordinate of S will be 1/2 * 2a = a.
and since the half triangle is 30-60-90 the y coordinate will be sqrt3 a
so S is (a , sqrt3a)
First you have to figure out how much a video game costs and how much a used one costs
Then you plug in the costs of the video games into Janets equation 120=3x+y
(x= video games and y=used video games)
Then you subtract the cost of video games from 120 and then divide that answer by the cost of used video games and that should give you how many used video games she can get
very simple, we use the formula sin(a+b)=sinacosb +
sinbcosa and sin(20)=2sinacosa
5pi = 2pi/3+3pi/3,
First, we use sin(a+b)=sinacosb + sinbcosa
sin(5pi/3)=sin(2pi/3+3pi/3)=
sin(2pi/3+pi)=
sin(2pi/3)cos(pi) +sin(pi)cos(2pi/3)
but we know that sin(pi)=
0, and cos (pi) = -1, so sin(5pi/3)=
- sin(2pi/3)
now, use sin(2a)=2sinacosa,
sin(5pi/3)= - sin(2pi/3)= -2sin(pi/3)cos(pi/3)
sin<span>(5pi/3)=
-2sin(pi/3)cos(pi/3)</span>
<span>sin(pi/3)= 0.86,
cos(pi/3)=0.5, finally we have </span>sin<span>(5pi/3)= -0.86 x 0.5= -0.43</span>
WE need to complete the square on the x and y terms:-
25x^2 - 100x - 9y^2 - 90y = 350
25(x^2 - 4x + ) - 9(y^2 + 10x ) = 350 + 25( ) - 9( )
25(x^2 - 4x + 4 ) - 9(y^2 + 10x + 25) = 350 + 25(4) - 9(25)
25(x - 2)^2 - 9(y + 5)^2 =
25(x - 2)^2 - 9(y + 5)^2 = 225
---------------- -------------- --------
225 225 225
( x - 2)^2 (y + 5)^2
------------- - -------------- = 1 Answer
9 25
