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2 years ago

Which inequality represents this statement?

Mathematics

1 answer:

iren [92.7K]2 years ago

8 0

Answer: the last one!! $n\leq 5$

Step-by-step explanation:

When there is a line under it means no more than!

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Write each complex number in rectangular form. a. 2(cos(135)+i sin(135)) b. 3(cos(120))+i sin(120)) c. 5(cos(5pi/4)+i sin(5pi/4)

bagirrra123 [75]

$\bf r\left[ cos\left( \theta \right)+i\ sin\left( \theta \right) \right]\quad 
\begin{cases}
x=rcos(\theta )\\
y=rsin(\theta )
\end{cases}\implies 
\begin{array}{llll}
x&,&y\\
a&&b
\end{array}\implies a+bi\\\\
-------------------------------\\\\
2\left[ cos\left( 135^o\right)+i\ sin\left( 135^o\right) \right]\impliedby r=2\qquad \theta =135^o
\\\\\\
2\left( -\frac{\sqrt{2}}{2} \right)+i\ 2\left( \frac{\sqrt{2}}{2}\right)\implies -\sqrt{2}+\sqrt{2}\ i$

$\bf -------------------------------\\\\
3\left[ cos\left( 120^o\right)+i\ sin\left( 120^o\right) \right]\impliedby r=3\qquad \theta =120^o
\\\\\\
3\left( -\frac{1}{2} \right)+i\ 3\left( \frac{\sqrt{3}}{2}\right)\implies -\frac{3}{2}+\frac{3\sqrt{3}}{2}\ i$

$\bf \\\\
-------------------------------\\\\
5\left[ cos\left( \frac{5\pi }{4}\right)+i\ sin\left( \frac{5\pi }{4}\right) \right]\impliedby r=5\qquad \theta =\frac{5\pi }{4}
\\\\\\
5\left( -\frac{\sqrt{2}}{2} \right)+i\ 5\left( -\frac{\sqrt{2}}{2}\right)\implies -\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}\ i$

$\bf -------------------------------\\\\
4\left[ cos\left( \frac{5\pi }{3}\right)+i\ sin\left( \frac{5\pi }{3}\right) \right]\impliedby r=4\qquad \theta =\frac{5\pi }{3}
\\\\\\
4\left( \frac{1}{2} \right)+i\ 4\left( -\frac{\sqrt{3}}{2}\right)\implies \frac{1}{2}-\frac{\sqrt{3}}{2}\ i$

3 0

2 years ago

NEED ALL 4! With the solution and step by step on what to do !! worth 35 points

creativ13 [48]

Answer:

I got you, give me a few minutes

1st one: 6x+12+6y

2nd one: -12a-20b

4th one: 2x times 18

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

If you draw a tree to show the number of ways to spin a spinner with three regions twice, how many possibilitdies would there be

LenaWriter [7]

Answer: There would be 9 possibilities.

Step-by-step explanation:

Given : The number of regions in the spinner = 3

if we spin the spinner twice, then by using fundamental principal of counting , the number of possibilities is given by :-

$3\times3=9$

Therefore, there would be 9 possibilities.

The Fundamental Counting Principle is a method to calculate the number of possibilities by multiplying the events together to get the total number of possibilities.

7 0

3 years ago

mrs Singh bought 9 folders 9 notebooks. The cost of each folder is $2.50 and the cost of each notebook is $4 write two equivalen

lana66690 [7]

First you add250+250 then you add 9+9 or you could do250×9 2 times then add them together . never mind just do 250×9 2times and that will eqaul 2,250 then add 2250+ 2250and you got the answer and the answer is 4500

5 0

2 years ago

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HELPPPPPPP MEEEEEEEE !

ololo11 [35]

Answer:

the line is curved

Step-by-step explanation:

so it wont work

7 0

2 years ago