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True [87]
3 years ago
8

Find the missing measure Show all the work

Mathematics
1 answer:
andreev551 [17]3 years ago
7 0
70 is the answer have a nice day
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Express the complex number in trigonometric form. 5 - 5i
bazaltina [42]

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               Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Lets do this step by step.

This is the trigonometric form of a complex number where |z| is the modulus and 0 is the angle created on the complex plane.

z = a + bi = |z| (cos ( 0 ) + I sin (0))

The modulus of a complex number is the distance from the origin on the complex plane.

|z| = \sqrt{a^2 + b^2} where z = a + bi

Substitute the actual values of a = -5 and b = -5.

|z| = \sqrt{(-5) ^2 + (-5) ^2}

Now Find |z| .

Raise - 5 to the power of 2.

|z| = \sqrt{25 + (-5) ^2}

Raise - 5 to the power of 2.

|z| = \sqrt{25 + 25}

Add 25 and 25.

|z| = \sqrt{50}

Rewrite 50 as 5^2 . 2 .

|z| = 5\sqrt{2}

Pull terms out from under the radical.

|z| = 5\sqrt{2}

The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.

0 = arctan (\frac{-5}{-5} )

Since inverse tangent of  \frac{-5}{-5}  produces an angle in the third quadrant, the value of the angle is \frac{5\pi }{4} .

0 = \frac{5\pi }{4}

Substitute the values of 0 = \frac{5\pi }{4} and |z| = 5\sqrt{2} .

5\sqrt{2} ( cos( \frac{5\pi}{4})  + i sin (\frac{5\pi}{4}))

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

6 0
3 years ago
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Which term can not be combined with the others
Luba_88 [7]
4x^2 because it’s to the second degree unlike the others which are to the first degree.
8 0
3 years ago
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A rectangular yard measuring 36 ft by 55 ft is bordered (and surrounded) by a fence. Inside, a walk that is 4 ft wide goes all t
Y_Kistochka [10]

Answer:

664 ft²

Step-by-step explanation:

The rectangular yard has dimensions 36 ft by 55 ft.

The area of the yard is 36 ft × 55 ft = 1980 ft²

The walkway inside the fence is 4 ft wide. The area inside the walkway has dimensions

36 ft - 2 × 4 ft = 28 ft

55 ft - 2 × 4 ft = 47 ft

The area of the rectangle inside the walkway is 28 ft × 47 ft = 1316 ft²

The area of the walkway is the difference between the total area enclosed by the fence and the rectangle inside the walkway.

area of walkway = 1980 ft² - 1316 ft² = 664 ft²

3 0
2 years ago
Apply the distributive property to factor out the greatest common factor. 24+32p =
lyudmila [28]

Answer: 8(4p + 3)

Step-by-step explanation: Let's first rewrite this as 32p + 24.

If you're asked to factor a polynomial, the first thing you want to look for is the greatest common factor between the terms that are involved.

So what is the greatest common factor between 32p and 24?

Well if you use a factor tree, you'll figure out that the greatest common factor between 32p and 24 is 8.

What that means is that 2 factors out of this polynomial and what you're left with is each of these terms divided by the number that factors out.

In other words 32p divided by 8 or 4p and 24 divided by 8 which is 3.

So your answer is 8(4p + 3) and that is a factored version of 24 + 32p.

8 0
3 years ago
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What is an equation of the line that passes through the points (3,4) and (-4,-3)?
trasher [3.6K]
Y=1x+1?? that’s what u get when u use the omni calculator
6 0
3 years ago
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