Answer:
1. AC = 5 cm
2. CD = 10.7 cm
Step-by-step explanation:
Looking at the left triangle, we see that AC is the side "opposite" of the angle given and AB is the "hypotenuse".
Which trigonometric ratio relates "opposite" to "hypotenuse"?
<em>Yes, that's SINE.</em>
<em />
So we can write:

We know from 30-60-90 triangle, Sin(30) = 0.5, so we have:

Thus,
AC = 5 cm
Now, looking at right side triangle, we know AC, side "opposite" and we want to find CD, side "adjacent". Which trig ratio relates these 2 sides?
<em>Yes, that's tan!</em>
Thus we can write:

Now using calculator, we get our answer to be:
CD = 
So
CD = 10.7 cm
The point is at an x value of -2 and it goes up the imaginary axis 3 units, so the imaginary part of the complex number is 3i.
First triangle:
2x+2x+x=180
x=36
second triangle:
7x+3x+90=180
x=9
third triangle:
2x+x+x=180
x=45
good luck!!
Answer:
A
Step-by-step explanation:
brackets first according to bodmas
Answer:994
Step-by-step explanation: (8+t) -6, t=2
(8+2)^3 -6
10^3-6
1000-6
994