Answer:
60°
Step-by-step explanation:
Am equilateral triangle is a triangle that has all its sides and angles equal. Note that an equilateral triangle has 3 sides and angles.
Let the angles be a, b and c
The sum of angle in a triangle is 180°, hence;
a+b+c = 180°
Since a = b = c
The equation becomes;
a+a+a = 180°
3a = 180
a = 180/3
a = 60°
Hence the measure of the angles of an equilateral triangle is 60° for the three angles.
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.
Learn more about Complex number from:
brainly.com/question/10251853
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This equation is written in <em>standard form</em>, so we need to change it into <em>slope-intercept form.</em>
<em />
3x = -y - 5
3x + y = -y + y - 5
3x + y = -5
3x - 3x + y = -5 - 3x
y = -5 - 3x
y = -3x - 5
The slope is classified as "m" in this type of equation, so, the slope is -3.
Best of Luck!
52 ft
The missing side is 5ft because 11-6 is the remaining side length.
11+5+6+8+7+15=52
