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Ivenika [448]
3 years ago
10

a right triangle has side lengths of 4 centimeters and 5 centimeters. what is the length of the hypotenuse?​

Mathematics
1 answer:
Fiesta28 [93]3 years ago
5 0

Answer: D

Step-by-step explanation:

a^{2} +b^{2} =c^{2} \\4^{2} +5^{2} =c^{2} \\16+25= c^{2} \\\sqrt{41}

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What is the value of i^n in if the remainder of n/4 is 2?
LekaFEV [45]

The value of {i^n} is \boxed{ - 1} if the remainder of \dfrac{n}{4} is 2.

Further Explanation:

Given:

The remainder of \dfrac{n}{4} is 2.

Explanation:

The sum of imaginary numbers and real numbers is known as the complex number.

The complex number can be expressed as follows,

\boxed{z = a + ib}

Here, a is the real part of the complex number and \text{ib} is the imaginary part of the complex number.

\sqrt{ - 1} can be denoted by i.

The value of {i^2} is -1.

{i^2} =  - 1

The value {i^3} can be obtained as follows,

\begin{aligned}{i^3}&= {i^2} \times i\\&= - 1 \times i \\&= - i\\\end{aligned}

The value {i^4} can be obtained as follows,

\begin{aligned}{i^4} &= {i^2} \times {i^2}\\&= - 1 \times - 1 \\&= 1\\\end{aligned}

The value of {i^n} is \boxed{ - 1} if the remainder of \dfrac{n}{4} is 2.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Complex numbers

Keywords: value, i^ n, remainder, n/4, 2 quotient, divisor, complex number, imaginary number, real number, exponents, dividend, powers, -1, imaginary roots.

5 0
3 years ago
Read 2 more answers
A bungee jumper is jumping off the New River Gorge Bridge in West Virginia, which has a height of 876 feet. The cord stretches 8
Alex Ar [27]

I say B. That is what I think at least.

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The elevation at sea level is 0 feet. Which of these cities have an elevation that is more than 75 feet away from sea level ?
Jet001 [13]
You need a picture to answer
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3 years ago
If B is the midpoint of AC, and AB=5/2x+12 and AC=12x-4, what is the length of BC?
Setler [38]

Answer:

22

Step-by-step explanation:

We know that AC = 2 * AB so we can write:

12x - 4 = 2(5/2 x + 12)

12x - 4 = 5x + 24

7x = 28

x = 4

Since AB = BC the answer is 5/2 * 4 + 12 = 22.

8 0
3 years ago
Write the equation of the line using slope-intercept form
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Answer:

its 1290 ans there is the awer

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