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DiKsa [7]
4 years ago
7

Math help please and thank youuu

Mathematics
1 answer:
Stells [14]4 years ago
6 0
Because the inscribed angle is 30 degrees, the corresponding arc would be 30 degrees.
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Which of the following is a solution of z^5 = 1 + √3 i?
nordsb [41]

Answer:

Option 2 is right

Step-by-step explanation:

Given that

z^5=1+\sqrt{3} i

We can write this in polar form with modulus and radius

|z^5|= \sqrt{1+3} =2\\tan of Angle t =\sqrt{3} \\

Hence angle = 60 degrees and

|z^5|= 2(cos60+isin60)

Since we have got 5 roots for z, we can write 60, 420, 780, etc. with periods of 360

Using Demoivre theorem we get 5th root would be

5th root of 2 multiplied by 1/5 th of 60, 420, 780,....

z= \sqrt[5]{2} (cos12+isin12)\\z=\sqrt[5]{2} (cos84+isin84)\\\\z=\sqrt[5]{2} (cos156+isin156)\\\\z=\sqrt[5]{2} (cos228+isin228)\\\\z=\sqrt[5]{2} (cos300+isin300)\\

Out of these only 2nd option suits our answer

Hence answer is Option 2.

8 0
3 years ago
The soccer team bought new uniforms for $ 649.62. if there are 12 kids on the team, how much did each uniform cost? ( round answ
lianna [129]

Answer:

$54.14 per soccer uniform

Step-by-step explanation:

649.62/12

= 54.135

Round to the nearest penny - $54.14

4 0
3 years ago
Read 2 more answers
1. The C major key, starting with the middle C, consists of seven notes (white keys on the piano) with the following frequencies
Lorico [155]
1.) <span>the ratio of the note A to middle C = 440.0 / 261.6 = 1.6820 ≈ 1.6818

2.) </span><span>the ratio of the note D to middle C = 293.7 / 261.6 = 1.1227

3.) </span><span>D# = 293.6 x 1.0595 = 311.1

4.) </span><span>the ratio of the frequency of G to C is 1 : 262/392 = 1 : 0.6683 ≈ 3 : 2

5.) </span><span>the ratio of the frequency of E to C = 1 : 262/330 = 1 : 0.7939 ≈ 5 : 4

6.) The </span><span>component in a musical note is referred to as the pitch of a sound is the frequency.</span>
8 0
3 years ago
Read 2 more answers
*PLEASE ANSWER, DIFFICULT QUESTION ASAP* A particular airline offers three free snack options to it's passengers: cookies, chips
Svet_ta [14]
The answer would be 50% because you have the choice two options
4 0
3 years ago
Can u solve this please? Pythagorean theorem
Pani-rosa [81]

Answer:

12.8 ft or exactly sqrt 164

Step-by-step explanation:

Pythagoreans is a^2+b^2=c^2

10^2+8^2=164

sqrt 164 = 12.8 ft

6 0
3 years ago
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