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ozzi
3 years ago
5

PLEASE HELP ME, ILL BRAINLIEST YOU ill give u 30 points if you help

Mathematics
2 answers:
lisov135 [29]3 years ago
7 0

Answer:

x = 58

y = 90

Step-by-step explanation:

  • This is a rhombus becuase it a quadralterial and it has four right triangles, and it diagonals bisect each others so it cant be a trapezoid, and paralleolgram. and it doesnt have four right corner angles so it cant be a square or rectangle or kite.

A rhombus inner angle measure is 90 degrees.

So

y = 90

This means the upper left angle of the top triangle measure is 58 becuase triangle interior theorem.

Since a rhombus bisects angles, angle x measure 58.

blondinia [14]3 years ago
3 0

PLEASEEEEE CAN SOMEONE HELP MEEE??? (iI have TWO questions PLSPLSPLSPSLPLSPLSPLSP)

3.) What happened to Patroclus at the end of yesterday's reading?

He won the battle.

He went to Mt. Olympus to talk to Zeus.

He died.

-------------------------------------------------------------------------------------------------------

4.Who was Agamemnon trying to persuade to come fight with him again?

Patroclus

Achilles

Odysseus

Hector

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If the ratio of boys to girls is 3 : 11 and there are 66 girls in the play, how many students are boys?
iragen [17]

Answer:

18 boys

Step-by-step explanation:

boys/girls = 3/11 = b/66

3/11 = b/66

11b = 3 × 66

b = 3 × 6

b = 18

There are 18 boys.

8 0
2 years ago
WILL GIVE BRAINLIEST
tester [92]
The answer would be
D) 40
8 0
3 years ago
What is (2-2i√3)4 equivalent to?
maxonik [38]

a. (2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

b. (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

To answer the question, we need to know what complex numbers are

<h3>What are complex numbers?</h3>

Complex numbers are numbers of the form z = x + iy

<h3>a. Complex numbers in polar form</h3>

Complex numbers in polar form z = r(cosθ + isinθ) where

  • r = √(x² + y²) and
  • θ = tan⁻¹(y/x)

Given that z = (2 - 2i√3)⁴ =

So,

  • x = 2 and
  • y = -2√3

So, converting to polar form

r = √(x² + y²)

= √[2² + (-2√3)²]

= √[4 + 4(3)]

= √[4 + 12]

= √16

= 4

θ = tan⁻¹(y/x)

θ = tan⁻¹(-2√3/2)

θ = tan⁻¹(-√3)

θ = -π/3

So, z = r(cosθ + isinθ)

= 4(cos(-π/3) + isin(-π/3))

<h3>Powers of complex numbers</h3>

A complex number z raised to power n is zⁿ = rⁿ(cosnθ + isin(nθ)]

z⁴ = (2 - 2i√3)⁴

= r⁴(cos4θ + isin4θ)

= 4⁴(cos(4 × -π/3) + isin(4 × -π/3))

= 256(cos(-4π/3) + isin(-4π/3))

= 256cis(-4π/3)

(2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

<h3>b. Complex numbers in rectangular form</h3>

The complex number z =  r(cosθ + isinθ) in rectangular form is z = x + iy where

  • x =  rcosθ and
  • y =  rsinθ

Given that z⁴ = 256(cos(-4π/3) + isin(-4π/3)) in rectangular form,

x = rcosθ

= 256(cos(-4π/3)

= 256cos(-4 × 60°)

= 256cos(-240)

= 256cos(240)

= 256 × -1/2

= -128

y =  rsinθ

= 256sin(-4π/3)

= 256sin(-4 × 60°)

= 256sin(-240)

= -256sin240

= -256 × -√3/2

= 128√3

So, z⁴ = x + iy

= -128 + 128√3

So, (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

Learn more about complex numbers in polar form here:

brainly.com/question/9678010

#SPJ1

7 0
1 year ago
Deleted no question to ask.
soldi70 [24.7K]

thanks so much for the points

8 0
3 years ago
Determine algebraically whether the function is even, odd, or neither even nor odd.
sdas [7]
It is an even function
3 0
3 years ago
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