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Rama09 [41]
3 years ago
7

Asher is pet sitting for 1/5 dogs. He only has of a bag of dog food left for the day. If each dog gets the same amount, what fra

ction of the bag will each dog get?
Mathematics
1 answer:
k0ka [10]3 years ago
7 0

Answer:

s

Step-by-step explanation:

physical attributesphysical attributesphysical attributesphysical attributesphysical attributesphysical attributesphysical

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Given the complex number z_1=3\big(\cos \frac{14\pi}{15} +i\sin \frac{14\pi}{15}\big)z 1 ​ =3(cos 15 14π ​ +isin 15 14π ​ ) and
mars1129 [50]

The product of <em>z₁ =</em> 3 · (cos 14π/15 + i · sin 14π/15) and <em>z₂ =</em> 3 √3 · (cos 11π/15 + i · sin 11π/15) in <em>rectangular</em> form with fully simplified expressions is <em>z₁ · z₂ =</em> 7.794 - i · 13.5.

<h3>How to determine the product of two complex numbers</h3>

Let be two numbers of the form <em>z = a + i · b</em>, where <em>i =</em> √-1, the product of two of these numbers in <em>rectangular</em> form is described by the following formula:

<em>z₁ · z₂ = (a + i · b) · (c + i · d) = (a · c - b · d) + i · (a · d + b · c)</em>   (1)

If we know that a = 3 · cos 14π/15, b = 3 · sin 14π/15, c = 3√3 · cos 11π/15, d = 3√3 · sin 11π/15, then the result in rectangular form is:

<em>z₁ · z₂ =</em> 7.794 - i · 13.5

The product of <em>z₁ =</em> 3 · (cos 14π/15 + i · sin 14π/15) and <em>z₂ =</em> 3 √3 · (cos 11π/15 + i · sin 11π/15) in <em>rectangular</em> form with fully simplified expressions is <em>z₁ · z₂ =</em> 7.794 - i · 13.5. \blacksquare

<h3>Remark</h3>

The statement presents typing mistakes and is poorly formatted, the correct form is introduced below:

<em>Given the complex number z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15), express the result of z₁ · z₂ in rectangular form with fully simplified fractions and radicals.</em>

<em />

To learn more on complex numbers, we kindly invite to check this verified question: brainly.com/question/10251853

8 0
2 years ago
Which expression is equivalent to 5x +10y-15
diamong [38]

I think it's 5(x+2y-3)

7 0
3 years ago
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Can someone help me to solve this problem pls?! I didn’t really understand how I need to solve this question.
amid [387]

Step-by-step explanation:

so first you graph the triangle

count how many units one point is from the other point

and if it's hard to count the units (maybe bc the line is diagonal) use the distance formula or the Pythagorean theorem

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to the nearest ten thousand, the population of Vermont was estimated to be about 620,000 in 2008.What might have been the exact
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Answer:

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Step-by-step explanation:

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