(√3 - <em>i </em>) / (√3 + <em>i</em> ) × (√3 - <em>i</em> ) / (√3 - <em>i</em> ) = (√3 - <em>i</em> )² / ((√3)² - <em>i</em> ²)
… = ((√3)² - 2√3 <em>i</em> + <em>i</em> ²) / (3 - <em>i</em> ²)
… = (3 - 2√3 <em>i</em> - 1) / (3 - (-1))
… = (2 - 2√3 <em>i</em> ) / 4
… = 1/2 - √3/2 <em>i</em>
… = √((1/2)² + (-√3/2)²) exp(<em>i</em> arctan((-√3/2)/(1/2))
… = exp(<em>i</em> arctan(-√3))
… = exp(-<em>i</em> arctan(√3))
… = exp(-<em>iπ</em>/3)
By DeMoivre's theorem,
[(√3 - <em>i </em>) / (√3 + <em>i</em> )]⁶ = exp(-6<em>iπ</em>/3) = exp(-2<em>iπ</em>) = 1
Answer: Rational
Step-by-step explanation: 12 is a rational number because it can be expressed as the quotient of two integers: 12÷ 1
Equation giving the length of this rod at temperature is g = 0.000085t + 84.991075 cm.
What is temperature ?
- A temperature is a unit used to represent voguishness or coolness on any of a number of scales, including Fahrenheit and Celsius.
- According to temperature, heat energy will naturally move from a hotter( body with an advanced temperature) to a colder( body with a lower temperature)( one at a lower temperature).
Given that,
Temperature denoted by T
G - L = aL(t - T)
G = aLt + L(1 - aT)
Slope = aL
Intercept = L(1 - aT)
g = 0.000085t + 84.991075 cm
Learn more about temperature here: brainly.com/question/24746268
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Answer:
the answer is y - 8
Step-by-step explanation:
just makes sense
Answer:
37%
Step-by-step explanation:
total is 49
so the probability of yellow is 18/49 × 100 to get the percentage that's 36.73% to the nearest percentage is 37%
