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3 years ago

Solve z^3=27 it's a complex number

Mathematics

2 answers:

34kurt3 years ago

8 0

Answer:

-3i^2

Step-by-step explanation:

(-3i^2) ^3=-(3*(-1)) ^3=-(-3)^3=-(-27)=27

MrMuchimi3 years ago

4 0

Answer:

z³=27

³√z³=³√27

z=3

Step-by-step explanation:

z³=27

³√z³=³√27

z=3

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A box is 3 inches by 2 feet by 10 yards. How many cubic inches are in the box? How many cubic yards are in the box? (Show all wo

IceJOKER [234]

Answer:

There are 25920 cubic inches and 0.56 cubic yards in the box.

Step-by-step explanation:

Given:

The dimensions of the box are 3 in by 2 ft by 10 yd.

Convert all in inches.

We know that, 1 ft = 12 in

So, $2\textrm{ ft} = 2\times 12 = 24\textrm{ in}$

Also, 1 yd = 36 in

So, $10\textrm{ yd} = 10\times 36 = 360\textrm{ yd}$

Now, volume of the box in cubic inches is given as:

$V=3\times 24\times 360=25920\textrm{ }in^{3}$

Now, we know that,

$1\textrm{ in} = \frac{1}{36}\textrm{ yd}\\1\textrm{ }in^{3}=\frac{1}{36^{3}}\textrm{ }yd^{3}$

Therefore,

$25920\textrm{ }in^{3}=25920\times \frac{1}{36^{3}}= 0.56\textrm{ }yd^{3}$

So, there are 25920 cubic inches and 0.56 cubic yards in the box.

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3 years ago

What is the measure of angle ACB?

s344n2d4d5 [400]

Answer:

Linear pair is a pair of adjacent angles formed when two lines intersect.

so, $\angle EAB$ and $\angle CAB$ are linear pairs.

Linear pairs are always supplementary.

therefore,

$\angle EAB+\angle CAB=180^{\circ}$ ......[1]

Also, it is given in figure, $\angle EAB = 108^{\circ}$

Substitute in [1], we get;

$108^{\circ}+\angle CAB=180^{\circ}$

Simplify:

$\angle CAB =180^{\circ}-108^{\circ}=72^{\circ}$

Exterior- Angle sum Property states that if the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.

then by Exterior angle sum property ;

$\angle ACB+\angle CAB =\angle CBF$

Substitute the values given in the figure;

$\angle ACB+72^{\circ}=145^{\circ}$

simplify;

$\angle ACB =145-72 = 73^{\circ}$

therefore, the measure of angle ACB is, $73^{\circ}$

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3 years ago

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Nuetrik [128]

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3 years ago

In the matrix equation below, what are the values of x and y?

Karo-lina-s [1.5K]

Answer:

The value of x = 5 and y = 2

The correct answer is last option

Step-by-step explanation:

From the figure we can see that, subtraction of two matrices.

The resultant matrix shows the corresponding terms difference.

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3 years ago

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Pachacha [2.7K]

69 points hahahahaha

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Solve z^3=27 it's a complex number ​

Solve z^3=27 it's a complex number