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fomenos
3 years ago
9

(12, 9, 4) What is the area of the parallelogram shown below?

Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0

area of the parallelogram is: b x h

12 x 4 = 48 (d)

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3 years ago
What are the fourth roots of 6+6√(3i) ?
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Answer:

Step-by-step explanation:

The genral form of a complex number in rectangular plane is expressed as z = x+iy

In polar coordinate, z =rcos ∅+irsin∅ where;

r is the modulus = √x²+y²

∅ is teh argument = arctan y/x

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r = √6²+(6√3)²

r = √36+108

r = √144

r = 12

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∅ = 60°

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z = 12(cosπ/3+isinπ/3)

To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)

z^1/4  = 12^1/4(cosπ/12+isinπ/12)

When n = 1;

z1 =  12^1/4(cosπ/3+isinn/3)

z1 = 12^1/4cis(π/3)

when n = 2;

z2 = 12^1/4(cos2π/3+isin2π/3)

z2 = 12^1/4cis(2π/3)

when n = 3;

z2 = 12^1/4(cosπ+isinπ)

z2 = 12^1/4cis(π)

when n = 4;

z2 = 12^1/4(cos4π/3+isin4π/3)

z2 = 12^1/4cis(4π/3)

8 0
3 years ago
Using two independent samples, two population means are compared to determine if a difference exists. The population standard de
ANTONII [103]

Answer:

Hence the degrees of freedom are associated with the critical value is 25.

Step-by-step explanation:

Using two independent samples, two population means are  

compared to determine if a difference exists, the population standard deviation is equal.  

sample size 1 = n_{1}= 15 and sample size 2 = n_{2} = 12  

since, population standard deviations are equal, required degrees of freedom              

= n_{1}  + n_{2} - 2 \\= 15 + 12 - 2\\ = 25  

8 0
2 years ago
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