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Sveta_85 [38]
3 years ago
8

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 <u>25920</u> cubic inches and <u>0.56</u> 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 <u>25920</u> cubic inches and <u>0.56</u> cubic yards in the box.

8 0
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}



7 0
3 years ago
Read 2 more answers
Your neighbor burns 150 Calories in 15 minutes cross-country skiing.
Nuetrik [128]
The unit rate is 10 cal per minute.

150/15 = 10
8 0
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.

<u>To find the value of x</u>

1/2(x + 3) - (3*(-1)) = 7

x/2 + 3/2 +3 = 7

x/2 +3/2 = 7 - 3 = 4

x + 3 = 8

x = 8 - 3 = 5

x = 5

<u>To find the value of y</u>

8/2  -3 (y +1) = -5

4 - 3(y +1)/ = -5

3(y +1)  = 4 + 5  = 9

y + 1 = 9 / 3 = 3

y = 3 - 1 = 2

Therefore the value of x = 5 and y = 2

The correct answer is last option

4 0
3 years ago
I will give Brainliest
Pachacha [2.7K]
69 points hahahahaha
4 0
3 years ago
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