Patterns are used to represent sequence of numbers.
The shape at the 50th position is a triangle
The pattern rule is given as: square, triangle, circle, oval.
The number of shapes (n) is given as:
So, the 50th shape is calculated using the following absolute operator
i.e. divide 50 by 4, and take note of the remainder.
When 50 is divided by 4, the remainder is 2
So, we have:
This means that, the shape at the 50th position is the same shape at the 2nd position.
Hence, the shape is triangle
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Answer:
A)
Step-by-step explanation:
The correct value of (3cis(pi/6))³ is 27i.
<h3>What is Complex Number?</h3>
Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.
Given the complex number in polar coordinate expressed as
z = r(cos∅+isin∅)
zⁿ = {r(cos∅+isin∅)}ⁿ
According to DeMoivre’s Theorem;
zⁿ = rⁿ(cosn∅+isinn∅)
Given the complex number;
(3cis(pi/6))³
= {3(cosπ/6 + isinπ/6)}³
Using DeMoivre’s Theorem;
= 3³(cos3π/6 + isin3π/6)
= 3³(cosπ/2 + isinπ/2)
= 3³(0 + i(1))
= 27i
Thus, the correct value of (3cis(pi/6))³ is 27i.
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Answer:
(4, -2)
Step-by-step explanation:
if you do process of elimination you find that 'a' doesn't work out but 'b' will . . . substitute -2 for 'y' and 4 for 'x' and see if the equation is true
-2 = -3/4(4) + 1
-2 = -3 + 1
-2 = -2
