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LekaFEV [45]
3 years ago
7

Simplify 5(cis7pi/4)^4

Mathematics
1 answer:
solniwko [45]3 years ago
5 0

Answer:

  -625

Step-by-step explanation:

The magnitude gets raised to the power, and the angle gets multiplied by the power:

  5(cis7pi/4)^4 = (5^4)cis(4·7π/4) = 625cis(7π) = 625cis(π) = -625

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Match the reasons with the statements in the proof to prove DF = EF, given that DEF is a triangle by definition and angles 3 and
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Answer with explanation:

Given:

In Δ DEF, ∠3=∠4.

To prove:→ DE=E F

Proof:

1.  ∠3=∠4------[Given]

2. →∠1 and ∠ 3 are Supplementary to each other.

(a)⇒∠1 + ∠ 3=180°

 →∠2 and ∠ 4 are also Supplementary to each other.

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4 years ago
gwen was cutting out some fabric for a friend she cut a piece yhat was 5 centimeters wide and 4 centimeters long what is the per
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Which set of ordered pairs does not describe a function?
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A triangle has side lengths of (10x+7y)(10x+7y) centimeters, (3x+3z)(3x+3z) centimeters, and (8z+10y)(8z+10y) centimeters. Which
lora16 [44]

Answer:

(109x²+140xy+18xz+49y²+160yz+73z²) centimeters

Step-by-step explanation:

perimeter = sum of all sides

side A = (10x+7y)(10x+7y)

= 100x² +70xy +70xy +49y²

= (100x² +140xy +49y²) centimeters

side B = (3x+3z)(3x+3z)

= 9x² +9xz +9xz +9z²

= (9x² +18xz +9z²) centimeters

side C = (8z+10y)(8z+10y)

= 64z² +80yz +80yz +100y²

= (64z² +160yz +100y²) centimeters

Perimeter = 100x²+140xy+49y² + 9x²+18xz+9z² + 64z²+160yz+100y²

collect like terms

= 100x² +9x²+140xy+18xz+49y²+160yz+9z²+64z²

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