Answer:
3.67 units
Step-by-step explanation:
The central angle is at the point (0,0).
Then it's at the point (1,0)
Then it moved 210 degrees.
Let's bear in mind that we start moving the degree from it's current position.
So moving 210 degrees is moving 180 degrees plus 30 degrees.
Moving 180 degrees I like transforming linearly.
Now the location is at (-1,0)
But the distance covered will be
= 2πr*210/360
r = 1
= 2*3.142*1*(210/360)
= 6.144*0.5833333
= 3.67 units
The sum of gains is
... (14 yd) + (-32 yd) + (3 yd) + (-19 yd)
... = (14 +3 -19 -32) yd . . . . . . it is often convenient to rearrange the numbers to facilitate mental arithmetic
... = (-2 -32) yd
... = -34 yd
The net change of position was -34 yards.
The number or (x) is 4.I hopes this helps you with your work <3
Triangles ABC and XYZ are similar, so the corresponding angle to A in XYZ triangle is angle X. We can actually find sin(X) very easily.
Because we know all sides and the right angle, we can use certain formula to find sin(X), like this:
sin(X) = opposite side / hypotenuse = 6/10 = 3/5
sin(X) = sin(A)
The correct answer is sin(A) = 3/5.