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lutik1710 [3]
3 years ago
9

Multiple to list the next five multiples of 3

Mathematics
1 answer:
brilliants [131]3 years ago
7 0

Answer:

6, 9, 12, 15, 18

Step-by-step explanation:

Finding multiples is simple, count by 3 for as many times as you can and there are your multiples.

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assume that 0&lt;x&lt;pi/2 and 0&lt;y&lt;pi/2. find the exact value of sin(x+y) if cosx=8/17 and siny= 12/37​
max2010maxim [7]

Answer:

621 / 629

Step-by-step explanation:

We are given the following information -

cos x = \frac{8}{17}, and sin y = \frac{12}{37}

Respectively we can use the following information -

sin( x + y ) = sin x ( cos y ) + sin y ( cos x ),

cos^2x  + sin^2x = 1,\\cos^2y  + sin^2y = 1

Knowing that cos^2x  + sin^2x = 1, cos^2y  + sin^2y = 1, we can calculate the value of sin x and cos y, plugging it into the first bit " sin( x + y ) = sin x ( cos y ) + sin y ( cos x ) "

sin^2x = 1 - cos^2x,\\sin^2x = 1 - ( 8 / 17 )^2,\\sin^2x = 15^2 / 17^2\\----------------\\sin ( x ) = 15 / 17

Respectively cos y should be 35 / 37 -

cos^2y = 1 - sin^2y,\\cos^2y = 1 - ( 12 / 37 )^2,\\cos^2y = 35^2 / 37^2\\----------------\\cos ( y ) = 35 / 37

Thus,

sin( x + y ) = ( 15 / 17 ) * ( 35 / 37 ) + ( 12 / 37 ) * ( 8 / 17 ),

sin( x + y ) = 621 / 629

<u><em>Hope that helps!</em></u>

5 0
3 years ago
Graph a line with a slope of -5 that contains the point -3,-4
Svetradugi [14.3K]

Answer:

y = -5x - 19

Step-by-step explanation:

y = mx + b

m = -5    Point: (x , y)      (-3 , -4)

b = y - mx = -4 - ((-5) * (-3)) = -4 - 15 = -19

equation: y = -5x - 19

3 0
3 years ago
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