Answer: B. -27+452i
Step-by-step explanation: Simplify the real and imaginary parts of the expression.
Hope this helps you out.
Answer:
1. In triangle ABC,
AC = a = 10, BC =b= 7 and ∠ C = 90°
By cosine law,




Now, by the law of sine,



2. In triangle ABC,
∠B = 30°, AB=c=10 and ∠C = 90°
∠A = 180°-(30+90)°=60°

⇒ 
By Pythagoras,

⇒ 
Answer:
The line intercepts the y-axis and 
Step-by-step explanation:
The intersection on the y-axis of a line is found to be
.
That is, the intercept with the y-axis is the value of the function when x is equal to zero.
In this case we know the following points of the function:
x : -2 -1 0 1 2 3
y : 16 12 8 4 0 -4
Note that when
then
.
Therefore the line intercepts the y-axis and 
The area of the square is calculated through the equation,
Area = e²
where e is the measure of sides.
From the given,
64 = e²
e = sqrt 64 = 8 inches
The length of the side of the square rotated to form the cylinder is the diameter of the base of the cylinder. To get the radius, we divide the diameter by 2.
radius = 8 inches / 2 = 4 inches
Thus, the radius of the cylinder is equal to <em>4 inches</em>.
Answer: x=90
Step-by-step explanation:
because the range is 8, and the highest value in the data set is 98, x must equal 96