What is the value of x ?

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:

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:I believe it would be answer choice, 235 meters

Step-by-step explanation:

I’m not super good at explain but, the height and incline both go at the right slope when they interact. Have a good day, hope it helps.

The length of the pyramid's base would be:

C). 235 meters

Given that,

Height of the pyramid [tex]= 221[/tex]

Elevation/angle of the base [tex]= 62[/tex]°

Employing the trigonometric function,

Tan 62 [tex]= 221/[1/2 base][/tex]

⇒ Base [tex]= (2[/tex] × [tex]221)[/tex][tex]/Tan[/tex][tex]62[/tex]

[tex]= 2[/tex] × 221/[tex]1.88[/tex]

[tex]= 235.10[/tex]

Thus, option C is the correct answer.

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Answer:

a) 5c-3d

b) 2x+7y

c) 7g+3h

d) 1t-6r

hope this helps ;)

Answer:

a) 6c + 4d - c - 7d =  5c -3d

b) 3x + 5y - x + 2y =  2x + 7y

c) 3g + 5h + 4g - 2h =  7g + 3h

d) 8t + 3r - 7t - 9r = t - 6r

Step-by-step explanation:

combine like terms:

a) 6c + 4d - c - 7d =  5c -3d

b) 3x + 5y - x + 2y =  2x + 7y

c) 3g + 5h + 4g - 2h =  7g + 3h

d) 8t + 3r - 7t - 9r = t - 6r

Answer:

Answer:

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

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:

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:

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:

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:

x = 0.3, y = 5.3, z = 17.3

Step-by-step explanation:

Since given question is incomplete, so here is the complete table for the distance from the mean.

Temp (°F)                              29      38       45    31      50     58     62    

Distance from the mean    15.7    6.7       x    13.7      y     13.3       z

It's given that the mean of the data is 44.7

Since distance from the mean of a data is the absolute value of the difference of data and mean,

Therefore, distance from the mean of the data will be,

x = |44.7 - 45| = 0.3 (absolute value of the difference)

y = |44.7 - 50| = 5.3

z = |44.7 - 62| = 17.3

Answer:

x =   0.3

y =   5.3

z =   17.3

Step-by-step explanation:

Answer:ones

Step-by-step explanation:

Answer:

A) Dilation  C)Reflections or B) Rotations

Step-by-step explanation:

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: 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:

question 7: 280 and question 8: 86

Step-by-step explanation:

Answer:

1) 70

2) 82

Step-by-step explanation:

Answer:

17.3

Step-by-step explanation:

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

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

17.25

Answer:

Negative skew; skewed right.

Step-by-step explanation:

It is a negative skew, because the peak of the graph is located towards the left (5- 9, respectively). The skewed is on the right, for the tail stretches out to the right of the graph (10-14 all the way to 25 - 29, respectively).

~

Answer:

14168

Step-by-step explanation:

15400 / 100 x 8 = 1232

1232 = 8%

15400 - 1232 = 14168

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:

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:

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:

= 5x - 4y

Step-by-step explanation:

125x³- 64y³

= 5x - 4y

Answer:

Hello,

(5x)^3 - (4y)^3

Step-by-step explanation:

125 = 5^3

64 = 4^3

125 x^3 - 64 y^3 = (5x)^3 - (4y)^3

Answer:

theoretical is first then experimental

Step-by-step explanation:

Answer:

Experimental , Theoretical

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:

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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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:

9(6)

Step-by-step explanation:

i just took the test and yea!!!!!!!!

Answer:

D. 7(6)+4

Step-by-step explanation:

I tried the answer above me but it was wrong that's why I got 90/100

but here is the REAL ANSWER