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REY [17]
3 years ago
13

Help pleasee!! this is due tomrw I need answers asap!!

Mathematics
1 answer:
Mashutka [201]3 years ago
4 0

Answer:

Step-by-step explanation:

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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
What number increased by two is equal to two less than twice the number?
Romashka-Z-Leto [24]

The required number is 4

Step-by-step explanation:

We need to find the number from the given statement:

What number increased by two is equal to two less than twice the number?

Converting statement into mathematical form.

Let number=x

number increased by two: x+2

is equal: =

two less than twice the number: 2x-2

So, equation is:

x+2=2x-2

Solving the equation to find value of x:

x+2=2x-2

x-2x=-2-2

-x=-4

x=4

So, the required number is 4.

Keywords: Word Problems

Learn more about word problems at:

  • brainly.com/question/4034547
  • brainly.com/question/5510873
  • brainly.com/question/4282963

#learnwithBrainly

3 0
3 years ago
Which of the following does NOT represent a function?
Marizza181 [45]
The last one because it touches the x axis twice to turn
6 0
3 years ago
Read 2 more answers
Malik asked his teacher if there was a way to check his answer after writing equivalent expressions. What should be his teacher’
ValentinkaMS [17]

Answer:

Multiply each expression by the same number.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
If you have a body temperature of 99.00 degrees F, what is your percentile score?
ad-work [718]

Answer: z(99) = (99-98.2)/0.62 = 1.2903

P(x < 99) = P(z < 1.2903) = 0.9015 = 90.15%ile

7 0
3 years ago
Read 2 more answers
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