Answer:
a = 
b= 4
Step-by-step explanation:
It's a 30-60-90 triangle based on the given picture. A right triangle too
Use sine, cosine, and tangent to solve for the side.
To find b, you can use sin(30) = b/8 because sin(angle) = opposite/hypotenuse.
OR you can use the rule for 30-60-90 triangle, which is x for short leg, 2x for hypotenuse, and 
for long leg
So either way, b = 4
To find a, you can use cos(30) = a/8 because cos(angle) = adjacent/hypotenuse.
OR you can use the same rule, 30-60-90 triangle to save time
a will end up =
9514 1404 393
Answer:
0.28 -0.95i
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator.
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<em>Additional comment</em>
If the original number is A∠β, the ratio is 1∠(2β), the square of the unit vector in the same direction as the original.
Answer is provided in the image attached.
Answer:
C. P'(-4,-7), Q'(-8,-7), R'(-3,3).
Step-by-step explanation:
When a shape is reflected over a line y=x, the values in the coordinates are just swapped.
P(-7,-4) becomes P'(-4,-7)
Q(-7,-8) becomes Q'(-8,-7)
R(3,-3) becomes R'(-3,3)
The answer is P'(-4,-7), Q'(-8,-7), R'(-3,3).
