Can someone help me out please.

The trigonometric form of the complex number z = -1 - i is z = √2cis(3π/4) and the roots of √z are √2/2cis(3π/8) and √2/2cis(11π/8).

a) Trigonometric form of the complex number z = -1 - i is given by:

r = |z| = √(1²+1²) = √2θ = arctan(-1/-1) + π = 3π/4

Therefore, z = √2cis(3π/4)b)

Since, √z = (√2cis(3π/4))/2

= (√2/2)(cis(3π/4)/2), the roots of √z are given by:

√2/2cis(3π/4 + 2nπ)/2, where n = 0, 1.

Therefore, the roots are √2/2cis(3π/8) and √2/2cis(11π/8) and they are plotted as shown below:

 In summary, the trigonometric form of the complex number z = -1 - i is z = √2cis(3π/4) and the roots of √z are √2/2cis(3π/8) and √2/2cis(11π/8).

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Answer:

24/5: 48/10

22/3: 44/6

plz mark me as brainliest.

Answer:

Step-by-step explanation:

there is 1,000 total students... so divide 360 / 1000

so you have 0.36 for each student... then multiply by the freshmen,  

.36 * 300 = 108  :)

Answer:

C = 112.098yds

Step-by-step explanation:

Where finding the circumference so do pi times diameter.

C = 3.14×d

C = 3.14×35.7

C = 112.098yds

Answer:

The value of the prism is 56.3

Answer:

oh no homework not done

Step-by-step explanation:

mom:

Answer:

x = 6.9168 or x = 7

Step-by-step explanation:

Hope that helps :)

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula to approach this shall be:

( Final price - Initial price )/ Final price × 100/1 ............. 1

Hence for the snow shovels

Initial price = $241.50 for 7

Each will cost = $241.50/7

= $34.5

Final price for snow shovels

= $105.57 for 3 shovels

Each will cost = $105.57/3

= $35.19

Now considering the bags of salt

Initial price = $6.20 each

Final price = $39.06 for 6 bags

Each bag cost = $39.06/6

= $6.51

Now apply the formula in equation (1)

For snow shovels

($35.19- $34.5)/$34.5 × 100/1

= 0.69/34.5 × 100/1

= 0.02×100/1

= 2%

For bags of salt

($6.51-$6.20)/$6.20 ×100/1

0.31/6.20×100/1

0.05×100/1

= 5%

Hence from the above solution, we can now deduce that shovel increased by 2% while bags of salt went up by 5%.

Answer:

if two Angles have equal measure then the slide opposite to them equal in the length is 6 units

Answer:

first multiples of 2 and second multiples of 1

Answer:

(1,3) is the answer.

Step-by-step explanation:

hope you get it right!!

After considering all the given data we conclude that approximate percentage of area under the curve is 10.6%, which is approximately 0.106 as a decimal or 53/500 as a fraction

In  case of standard normal distribution, the area under the curve less than 1.25 is 0.894.
Then the standard normal distribution is symmetric about the mean, the area under the curve less than -1.25 is the same as the area under the curve greater than 1.25.
Hence, the approximate percentage of the area under the curve less than -1.25 is approximately
(1 - 0.894) * 100% = 10.6%,
which is approximately 0.106 as a decimal or 53/500 as a fraction
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Answer:

hello the information in part A is missing below is the missing information

How many 2/3 foot pieces can Wendy cut from the 5 and 1/3 feet of ribbon? Show your work

answer :  8

Step-by-step explanation:

The quotient in terms of the two fractions

Determine 2/3 foot that can be gotten from 5 1/3

Divide  5 1/3  by 2/3  ( how to get quotient )

= 5 1/3 / 2/3

= (16 / 3 ) / ( 2/3 )  ( meaning of the quotient )

= 8

Answer:

8x+5005073

Step-by-step explanation:

Answer:

− 3 = − 14

Step-by-step explanation:

Hope this helps !

Answer:

The deepest that Amy dove below the ocean's surface is 5 feet.

Step-by-step explanation:

Let the deepest that Amy dove below the ocean's surface be x.

7x = 35

x = 5 ft

The predicted value of y when x = 15 is given as follows:

15.8.

To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.

The points in this problem are given as follows:

(12, 18), (9, 35), (14, 12), (8, 40), (10, 31), (4, 33), (18,10).

Inserting these points into the calculator, the line of best fit is given as follows:

y = -2.28x + 50.

When the value of y when x = 15 is given as follows:

y = -2.28(15) + 50

y = 15.8.

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Answer: This is what I have tried --

5 gallons : 3 weeks = x gallons : 52 weeks

5/3 = x/52 (cross multiply)

3x = 260 (divide by 3)

x = 86.6 or 87 gallons

Step-by-step explanation: hope this is right

Answer:

10 gallons of milk

Step-by-step explanation:

This question is a ration every three days the family drinks 2 gallons of milk (3:2) to find how much they would drink in 15 days all you would have to do is multiple both numbers by 5 to get 15:10. This represents how much milk they drink in 15 days.

Answer:

[tex]x=-12[/tex]

Step-by-step explanation:

[tex]3x+5=2x-7[/tex]

Subtract 2x from each side,

[tex]x+5=-7[/tex]

Subtract 5 from each side to find x,

[tex]x=-12[/tex]

Answer:

(2x+3)(3x+2)

Step-by-step explanation:

.....

......

..............

Answer:

(2x + 3)(3x + 2)

Step-by-step explanation:

[tex]6x^2+13x+6 \\ \\ = 6x^2+9x + 4x+6 \\ \\ = 3x(2x + 3) + 2(2x + 3) \\ \\ = (2x + 3)(3x + 2)[/tex]

Step-by-step explanation:

As the required line is perpendicular to y = (1/2)x + 5, product of slope of y = (1/2)x + 5 and required line should be - 1.

=> (1/2)m = - 1

=> m = - 2

Thus, required line is

=> y - (-8) = (-2)(x - 3)

=> y + 8 = -2(x - 3)

Answer:

$20.4

Step-by-step explanation:

20% of 17= 3.4

Add it to the initial $17 and you get $20.4

Answer: $20.40

Step-by-step explanation:

Since you're giving a 20% tip, your total will be 120% the price of the shampoo and cut.

17 * 120%

= 17 * 1.2

= 20.4

The total amount of money you spent at the salon and barbershop is $20.40

Your answer is correct :)

Answer:

either of the 2 is read so the answer is 2/9

Answer:

∠ W = 51°

Step-by-step explanation:

Since WX is the diameter , then

∠ WYX = 90° ( angle in a semicircle )

The sum of the 3 angles in a triangle = 180° , then

x + x + 12 + 90 = 180

2x + 102 = 180 ( subtract 102 from both sides )

2x = 78 ( divide both sides by 2 )

x = 39

Then

∠ W = x + 12 = 39 + 12 = 51°