Answer:
Acute angle
Step-by-step explanation:
Given that m<C = , to find out the type of angle angle C is, evaluate the expression given by substituting x = 13, in the expression.
m<C =
m<C =
m<C =
m<C = 76°
Acute angles are less than 90°.
m<C is less than 90°, therefore it is an acute angle.
Answer:
Explanation:
Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.
Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.
The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:
Then, the work consists in finding pairs (a,b) for which:
You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:
I will use b =0.5, b = 1, b = 1.5, b = 2
Then, four distinct complex numbers that have an absolute value of 3 are: