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3 years ago

Write and expression to find the perimeter of the rectangle. (5 points)

Mathematics

1 answer:

postnew [5]3 years ago

3 0

Answer:

im confused

Step-by-step explanation:

im confused whats your question tho

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Consider w=sqrrt2/2(cos(225°) + isin(225°)) and z = 1(cos(60°) + isin(60°)). What is w+ z expressed in rectangular form?

SVETLANKA909090 [29]

Answer:

Option (3)

Step-by-step explanation:

w = $\frac{\sqrt{2}}{2}[\text{cos}(225) + i\text{sin}(225)]$

Since, cos(225) = cos(180 + 45)

= -cos(45) [Since, cos(180 + θ) = -cosθ]

= - $\frac{\sqrt{2}}{2}$

sin(225) = sin(180 + 45)

= -sin(45)

= - $\frac{\sqrt{2}}{2}$

Therefore, w = $\frac{\sqrt{2}}{2}[-\frac{\sqrt{2}}{2}+i(-\frac{\sqrt{2}}{2})]$

= $-\frac{2}{4}(1+i)$

= $-\frac{1}{2}(1+i)$

z = 1[cos(60) + i(sin(60)]

= $[\frac{1}{2}+i(\frac{\sqrt{3}}{2})$

= $\frac{1}{2}(1+i\sqrt{3})$

Now (w + z) = $-\frac{1}{2}(1+i)+\frac{1}{2}(1+i\sqrt{3})$

= $-\frac{1}{2}-\frac{i}{2}+\frac{1}{2}+i\frac{\sqrt{3}}{2}$

= $\frac{(i\sqrt{3}-i)}{2}$

= $\frac{(\sqrt{3}-1)i}{2}$

Therefore, Option (3) will be the correct option.

3 0

3 years ago

Read 2 more answers

Help ASAP ! Number 2 please

dusya [7]

Answer:

sry bud not good at mash in english only

Step-by-step explanation:

7 0

3 years ago

How do you solve y=1/2x-4

UkoKoshka [18]

Answer: x = 2y + 4

Step-by-step explanation:

y=1/2x-4

multiply both sides by 2

2y=x-4

substract from both sides 2y

0=x+–2y-4

substract from both sides x

-x=-2y-4

multiply both sides by -1 to get positive x

x=2y+4

3 0

4 years ago

Solve 5x(x-4) using distributive property

vodomira [7]

Answer:

5x² - 20x

Step-by-step explanation:

multiply each term in the parenthesis by the 5x outside

5x(x - 4)

= (5x × x ) + (5x × - 4 )

= 5x² + (- 20x) = 5x² - 20x

4 0

3 years ago

Read 2 more answers

8. Here is a graph of the equation 3x - 2y = 12.

Readme [11.4K]

Answer:

A,B,D

Step-by-step explanation:

By replacing the points in the current equation you can get true statements which are correspondent to answer A,B,D

7 0

1 year ago