Look at the picture:)

Answer:

[tex]Z_{1} Z_{2} = 3 i[/tex]

Step-by-step explanation:

Step(i):-

Given z 1 = 3(cos 37° + i sin 37°)

          z 2 = (cos 53° + i sin 53°)

by using complex numbers

      [tex]Z_{1} = r_{1} ( cos\alpha_{1} + isin\alpha_{1} ) = r_{1} cis\alpha _{1}[/tex]

      [tex]Z_{2} = r_{2} ( cos\alpha_{2} + isin\alpha_{2} ) = r_{2} cis\alpha _{2}[/tex]

step(ii):-

now

   [tex]Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})[/tex]

       z ₁ = 3(cos 37° + i sin 37°) = 3 c i s 37°

       z ₂ = (cos 53° + i sin 53°) = c i s 53°

we will use formula

     [tex]Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})[/tex]

     [tex]Z_{1} Z_{2} = 3 X 1 cis (37 + 53) = 3cis (90) = 3 cis(\frac{\pi }{2} )[/tex]

    [tex]Z_{1} Z_{2} = 3(cos(\frac{\pi }{2} ) + isin(\frac{\pi }{2}))[/tex]

    [tex]Z_{1} Z_{2} = 3(0 + i (1)) = 3 i[/tex]

Conclusion:-

       [tex]Z_{1} Z_{2} = 3 i[/tex]

Answer:

2i

Step-by-step explanation:

z 2 = 2/3(cos53° + isin53°

I got it right on odyssey ware

Answer:

A - 29%

Step-by-step explanation:

Bianca's 1/5 would be converted to 20%

Chelsea's .26 would be 26%

Darnell's is 25%

Adding these together you get 71. To find the remaining votes that Francisco received you would..

Subtract

100 - 71 = 29%

Therefor, your answer is A.

If Darell earned 25% of the vote and Francisco received the remaining votes, Chelsea would have garnered 0.26 percent of the vote. 29% of the votes were cast in favor of Francisco. Option A is correct.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Given that there were four candidates running for office in the school election, Bianca won 1/5 of the vote, Chelsea got 0.26, Darell got 25%, and Francisco got the remaining votes.

Bianca's 1/5 would be converted to 20% and Chelsea's .26 would be 26%, Darnell's is 25%

Adding these together you get 71. To find the remaining votes that Francisco received you would be applying the subtraction operations,

100 - 71 = 29%

Thus, if Darell earned 25% of the vote and Francisco received the remaining votes, Chelsea would have garnered 0.26 percent of the vote. 29% of the votes were cast in favor of Francisco. Option A is correct.

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Answer:

Answer:

She could use coupon deals, she could research what stores have it cheapest, see what deals online has

Answer:ones

Step-by-step explanation:

Answer:

12 because if you add 6 and 12

Step-by-step explanation:

hope it helps uou !!

Answer:

It's 12

Step-by-step explanation:

hope it helps you !!

Answer:

B) The sum of x and 5 subtracted by 4 times y.

Step-by-step explanation:

(x + 5) = the sum of x and 5

- = subtracted by

4y = 4 times y

"The sum of x and 5 subtracted by 4 times y).

B) is your answer.

~

Answer:

B/the second one

Step-by-step explanation:

Answer:

A) Dilation  C)Reflections or B) Rotations

Step-by-step explanation:

Answer: A triangle is normally the base of a triangular prism. A rectangle is a lateral face of the prism.

Step-by-step explanation:

(D, G and c in the question are unclear.)

Answer:

polygon face - DFG ;; lateral face - DFBA

Step-by-step explanation:

got it right on edge

Answer:

x=5

y=25

Step-by-step explanation:

You can start by finding the value of x. Since opposite angles in a parallelogram are equal, 11x=55 and x=5. Since adjacent angles are supplementary, 5y+55=180, 5y=125 and y=25. Hope this helps!

Answer:

B. 93%

Step-by-step explanation:

Find the z-score:

z = (x − μ) / σ

z = (122 − 100) / 15

z = 1.47

Find the probability using a calculator or z-score table.

P(Z < 1.47) = 0.93

Answer:

The answer is B) G

Step-by-step explanation:

G is at the center of the triangle. It is a centroid because it is where all the medians meet.

Answer:

the answer is 7 7/8

Step-by-step explanation:

1.  you will need to change the fractions into an improper fraction.

2. you need to then multiply the numerator and denominator to get a 63/8

3. change 63/8 into a mixed fraction leaving you with 7 7/8

Answer:

theoretical is first then experimental

Step-by-step explanation:

Answer:

Experimental , Theoretical

The line graph is bettee.

The better display for the survey of 18 students about the number of movies they watched this past summer is a circle graph.

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given that, Mrs. Harless surveyed 18 students about the number of movies they watched this past summer, she used a circle graph and a line graph.

Since, a line graph used to track changes over short and long periods of time, It represents the change in a quantity with respect to another quantity. It shows how the value of something changes over time, or compare how several things change.

Whereas, a circle graph helps organize and show data as a percentage of a whole, it is divided into slices to illustrate numerical proportion.

Therefore, if Mrs Harless used a circle graph, it would be better to understand the data of the students.

Hence, the better display for the survey of 18 students about the number of movies they watched this past summer is a circle graph.

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Answer:

So the first step is to do times the l that is 18 then times the width that is 6 after that times the height that is 12. The other number is from the other side so you have to times the other number too. So the answer will be c.

Step-by-step explanation:

As we the the formula for a rectangular prism is l*w*h

Answer:

2,160cm³

Step-by-step explanation:

Good luck kiddos :)

Answer:

6a   +13

Step-by-step explanation:

(2a + 8) + (4a + 5)

Combine like terms

2a+4a   +8+5

6a   +13

Answer:

6a + 13

Step-by-step explanation:

1. simplify

(2a + 8) + (4a + 5)

2. Reorder the terms

(8 + 2a) + (4a + 5)

3. Remove parentheses

8 + 2a + 4a + 5

4. Combine like terms

8 + 5 = 13

2a + 4a = 6a

So, 6a + 13 is your answer.

Answer:

b) 8/40 = 1/5

The probability of the relative frequency for females in the age group 60-69 is 0.625.

We know that the probability of a function is the ratio of favorable cases to the total number of cases possible.

here we have to find the probability that a resident is female.

[tex]Probability=\frac{Total \ numbers \ of \females}{Total \ number \of people}[/tex]

here the total number of females are=19+2+4

                                                              =25

and the total number of males=1+9+5

                                                   =15

Hence, the total number of people=25+15=40

So Probability=25/40

                      =0.625

Hence option D is correct.

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Answer:

two minus one times .........

The solution to the equation is x = 7, -1.

The equation of the form ax² + bx +c is known as a quadratic equation.

The given equation is 2.1/x + 1 (4/5) =(3/10)x.

Simplify the equation as follows:

2.1/x + 1 (4/5) =(3/10)x

2.1/x + 9/5 = (3/10)x

2.1 + (9/5)x = (3/10)x²

21 + 18x = 3x²

3x² - 18x -21 =0

3x² - 21x + 3x -21 =0

3x(x - 7) + 3(x - 7) =0

(x - 7)(3x + 3) =0

x - 7 =0 or 3x + 3 =0

x = 7 or x = -1

Hence, the solution to the equation is x = 7, -1.

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Answer:

14168

Step-by-step explanation:

15400 / 100 x 8 = 1232

1232 = 8%

15400 - 1232 = 14168

Answer:

Y-8

Step-by-step explanation:

Answer:

Answer is option b)

[tex] {(x - 3)}^{2} + {(y - 4)}^{2} = 400[/tex]

Your guess was right.

Step-by-step explanation:

[tex]the \: question \: states \: that \: \\ distance \: between \: two \: points \: is \: 20 \: units \: \\ and \: the \: two \: points \: are \: (x,y) \: \: and \: \: (3 ,- 4) \\ distance \: formula \\ = \sqrt{ {(x1 - x2) }^{2} + {(y1 - y2)}^{2} } \\ on \: substituting \: the \: values \: in \: formula \\ 20 = \sqrt{ {(x - 3)}^{2} + {(y - ( - 4))}^{2} } \\ 20 = \sqrt{ {(x - 3)}^{2} + {(y + 4)}^{2} } \\ now \: squaring \: on \: both \: sides \\ 400 = {(x - 3)}^{2} + {(y + 4)}^{2} \\ hence \: the \: answer \: is \: option \: b)[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

question 7: 280 and question 8: 86

Step-by-step explanation:

Answer:

1) 70

2) 82

Step-by-step explanation:

First off, notice that this is a right triangle.

You can use this to help write equation.

Equation : x+ (4x-85)=90. The correct answer is "c"

Answer:

Step-by-step explanation:

I believe is D because you actually change the measure of two angles as long as the sum of them are 90.

Answer:

17.3

Step-by-step explanation:

(2+18)=(20mph*2miles)=6 minute

(18-2)=16mph*3miles=11.25

17.25

Find the area of the circle:

Area = PI x r^2

Area = 3.14 x 9^2

Area = 3.14 x 81

Area = 254.34 square cm

Now multiply the area of the circle by the shaded portion which is the fraction of the degree over 360 degrees:

254.34 x 80/360 = 20,347.2/360 = 56.52

The shaded area is 56.52 square cm.

Area of circle formula: A = πr²

A = π(9)²

A = 81π

A = 254.34cm²

The ratio of degrees in the shaded region to total degrees in a circle:

80/360 = 40/180 = 20/90 = 10/45 = 2/9

Multiply:

254.34/1 * 2/9

508.68/9

56.52

Therefore, the area of the shaded region is 56.52cm²

Best of Luck!

Answer:

f(x) = -1

Step-by-step explanation:

2/x when x = -2

2/-2 = -1

Answer:

f(x) = -1

Step-by-step explanation:

If you plug in -2 for x then it is 2/-2

Answer:

Sampling of convenience

Step-by-step explanation:

A sampling of convenience is being employed by the newspaper reporter that wants to know what the people of Georgia think about the latest trades.

This refers to the non-probability sampling method that relies on data collection from population members who are conveniently available to participate in study.

Hence, the sampling of convenience is being employed by the newspaper reporter that wants to know what the people of Georgia think about the latest trades.

Therefore, the Option B is correct.

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