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2 years ago

If i = StartRoot negative 1 EndRoot, what is the value of i 3? –1 i 1 –i

Mathematics

2 answers:

kirill115 [55]2 years ago

8 0

Answer:

-i

Step-by-step explanation:

i = sqrt(-1)

i² = -1

i³ = i² × i = -1 × i = -i

Annette [7]2 years ago

5 0

Answer:

-i

Step-by-step explanation:

Our number is i = √-1, and we want to find i³, which is essentially just i * i * i, so:

i³ = i * i * i = √-1 * √-1 * √-1 = -1 * √-1 = -1 * i = -i

The answer is -i.

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Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a

sergejj [24]

Answer:

$120\pi$ square units

Step-by-step explanation:

We are given that

Radius of circle=12 units

Angle MLK=60 degree

We have to find the area of sector that is not shaded.

Area of shaded sector MLK= $\frac{\theta}{360}\times \pi r^2$

Area of shaded sector MLK= $\frac{60}{360}\times \pi(12)^2=$ 24 square units

Area of whole circle= $\pi r^2=\pi (12)^2=144\pi$ square units

Area of sector that is not shaded =Area of whole circle-Area of shaded sector MLK= $144\pi-24\pi$

Area of sector that is not shaded= $120\pi$ square units

4 0

2 years ago

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What is a requirement of adjacent angles?

vlada-n [284]

Answer:

Step-by-step explanation:

Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.

7 0

2 years ago

−4(5 − 3x) = 12x + 20

andrezito [222]

−4(5 − 3x) = 12x + 20

Solve for x:

First use the Distributive property:

-20 + 12x = 12x +20

Add 20 to both sides:

12x =12x + 40

Now you can't get X by itself, because both sides of the equation have the same quantity of x ( they both have 12x).

This means there is no solution.

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2 years ago

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The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard devia

Alla [95]

Answer:

$z=5$

Step-by-step explanation:

We have been given that the The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000.

To solve our given problem we will use z-score formula.

$z=\frac{x-\mu}{\sigma}$ where,

$z=\text{z-score}$ ,

$x=\text{Sample score}$ ,

$\mu=\text{Mean}$ ,

$\sigma=\text{Standard deviation}$

Upon substituting our given values in z-score formula we will get,

$z=\frac{54,000-34,000}{4,000}$

$z=\frac{20,000}{4000}$

$z=5$

Therefore, the z-score of a company employee who makes an annual salary of $54,000 is 5.

4 0

2 years ago

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What dose 0.07x1.22 eaqual

iogann1982 [59]

0.07 * 1.22

Is equal to 0.0854

4 0

2 years ago

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