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3 years ago

Chad likes to play Bingo at the nearby American Legion Hall. One day he goes into the hall with $14 in his

Mathematics

1 answer:

BigorU [14]3 years ago

4 0

Answer:

Step-by-step explanation:

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Find the fourth roots of 256(cos 240° + i sin 240°).

Mashcka [7]

Answer with Step-by-step explanation:

We are given that

We have to find the fourth roots of given complex number.

$(256)^{\frac{1}{4}}=(4^4)^{\frac{1}{4}}=4^^{\frac{1}{4}\times 4}=4$

By using the formula

$(a^b)^x=a^{bx}$

$\theta=240^{\circ}$

$\theta=\frac{240}{4}=60^{\circ}$

Angle of rotation= $\frac{360}{4}=90^{\circ}$

Therefore, the four roots of given complex number are

$4(cos 60^{\circ}+i sin60^{\circ})$

$4(cos150^{\circ}+i sin150^{\circ})$

$4(cos240^{\circ}+isin 240^{\circ})$

$4(cos330^{\circ}+i sin330^{\circ})$

8 0

3 years ago

Danielle earns $36.80 for 4 hours of yardwork. MacKenzie earns $50.40 for 6 hours of yardwork.Who earns more money per hour? How

Fantom [35]

Answer:

Danielle earns $1.20 more than Mackenzie (per hour)

Step-by-step explanation:

To find out how much money per hour each person earns, you would divide the earinings by the number of hours;

Danielle: $36.80/4 = $9.20 per hour

MackKenzie: $50.40/6 = $8.40 per hour

To find out how much extra Danielle earns, you would subtract 8.40 from 9.20;

9.40 - 8.20 = $1.20

Thus, Danielle earns $1.20 more than Mackenzie per hour.

6 0

3 years ago

Which of the following points is a solution of y ≤ -|x| - 1? (-1, -3) (0, 0) (1, -1)

alexdok [17]

Y + 1 $\leq$ -|x|
-y - 1 $\geq$ |x|
-(-y - 1) $\leq$ x $\leq$ -y - 1
(0, 0)

Answer: B).

3 0

3 years ago

Read 2 more answers

What is the domain of the function represented by this graph?

Fantom [35]

Domain is all the x values represented
domain here is infinitely because it can go on forever to the left and to the right

8 0

3 years ago

Mai cguvbhjggyh Bhubyhbh

Volgvan

Understandable- have a good day

7 0

3 years ago