Find the value of x in the triangle shown below.

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:

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:

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:

Area is 200

Step-by-step explanation:

First off since it said that the width is 10, We add another 10 to the length, making it 20.

Next, you multiply 20 and 10 together,

Giving you 200.

I hope I was helpful!

Answer:

200

Step-by-step explanation:

the formula for area is length * width you would 10 * 200

Answer:

17.3

Step-by-step explanation:

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

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

17.25

Answer:

102 sqaure feet                                                      

Step-by-step explanation:

Answer:

A) Dilation  C)Reflections or B) Rotations

Step-by-step explanation:

Answer:

I believe 1 7/9 will give you 4

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:ones

Step-by-step explanation:

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:

14168

Step-by-step explanation:

15400 / 100 x 8 = 1232

1232 = 8%

15400 - 1232 = 14168

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:

3a<38

Step-by-step explanation:

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.

Learn more about the quadratic equations:

https://brainly.com/question/17177510

#SPJ2

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:

Answer:

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

Answer:

Y-8

Step-by-step explanation:

Answer:

D) 35

Step-by-step explanation:

angles that are opposite are equal, so the 45 degree angles is in th triangle too. angles on a straight lines are equal to 180, so 180 - 80 = 100.

So far we have two of the angles, 100+45=145

Angles in a triangle are equal to 180, so 180-145 =35

vertically opposite angles are the same, so the ? is 35 degrees

Hope that helps

Answer:

172 inches squared

Step-by-step explanation:

(8 x 7)2= 112

(7 x 2)2= 28

(8 x 2)2= 32

32 + 28+ 112

172 inches squared

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:

I would say B

Step-by-step explanation:

I think

So the right answer is 78.57 in^2.

Look at the attached picture

Hope it will help you

Good luck on your assignment

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:

Let the number be x, then (x - 9)^2 = x - 3

x^2 - 18x + 81 = x - 3

x^2 - 19x + 84 = 0

(x - 12)(x - 7) = 0

x = 12 or 7

Step-by-step explanation:

Cylinder volume formula:

V=πr^2h

Substitute given values into the formula

Note: use 3.14 for pi

Diameter is twice the radius, so if diameter is 8 then radius is 4

371.776 = (3.14)(4^2)h

Use h for height because we don't know the height

Okay, so let's try to get the h by itself on the left side of the equation

So begin by getting rid of 3.14 by dividing it by both sides

371.776/3.14 = 118.4

3.14/3.14 = 1 (don't put 1, just remove the 3.14 from the right side)

So now we have:

118.4 = 4^2(h)

Now we can get rid of 4^2

Start by actually squaring it and then divide it from both sides

118.4 = 16(h) (4^2 = 16)

118.4/16 = 7.4

16/16 = 1 (dont put 1, just drop it)

So now we have

7.4 = h

Now we have h by itself! So h = 7.4

let's  test it by putting it in the cylinder volume formula

V = πr^2h

371.776 = (3.14)(4^2)(7.4)

371.776 = (3.14)(16)(7.4)

371.776 = 50.24(7.4)

371.776 = 371.776

7.4 is your answer, if you have any questions, feel free to ask

Answer:

Area is a size measurement of a two-dimensional surface. Those dimensions (x and y) are perpendicular to each other, and thats why it is squared.