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antoniya [11.8K]
2 years ago
7

Which two shapes make up the first split of quadrilaterals on the quadrilateral hierarchy?

Mathematics
1 answer:
s2008m [1.1K]2 years ago
7 0

Trapezoid and kite make up the first split of quadrilaterals on the quadrilateral hierarchy

<h3>What is a quadrilateral?</h3>

A quadrilateral is a polygon that has four sides and four angles. Types of quadrilateral are<em> square, kite, trapezoid, rectangle, rhombus </em>and so on.

A quadrilateral hierarchy is a graphical way of representing the different types of quadrilaterals.

Trapezoid and kite make up the first split of quadrilaterals on the quadrilateral hierarchy

Find out more on quadrilateral at: brainly.com/question/23935806

#SPJ1

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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 4C0m430 + 4C1m331 + 4C2m232 + 4C3m133 + 4C4m034? 4x4 + 12x3 + 54x2 + 108x + 81 4x4 + 12x3 + 54
Ymorist [56]

Answer:

its the last one

Step-by-step explanation:

7 0
3 years ago
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the half-life of isotope X is 2.0 years. How many years would it take for a 4.0mg sample of X to decay and have only 0.50 mg of
shepuryov [24]

After 2.0 years, the 4.0 mg sample decays to 2.0 mg.

After another 2.0 years (total 4.0 years), the 2.0 mg sample decays to 1.0 mg.

And after another 2.0 years (total 6.0 years), the 1.0 mg sample decays to 0.50 mg.

So it takes 6.0 years for 4.0 mg to decay to 0.50 mg.

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Answer:

Exact Form:

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Step-by-step explanation:

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Step-by-step explanation:

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