Show what you know: Finding sin, cos, and tan AC20 BC16 AB12

Step-by-step explanation:

12²+16²=144+256=400=20²

so it is a right angled triangle.

let BC bebase and AB=height or perpendicular

AC=hypotenuse

sinC=12/20=3/5=0.6

cosC=16/20=4/5=0.8

tan C=12/16=3/4=0.75

similarly sin A=16/20=4/5=0.8

cos A=12/20=3/5=0.6

tan A=16/12=4/3≈1.33

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

i am not sure :

step-by-step explanation: