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faust18 [17]
4 years ago
5

Base systems like binary and hexadecimal seem a bit strange at first. The key is understanding how different systems "tick over"

like an odometer when they are full. Base 10, our decimal system, "ticks over" when it gets 10 items, creating a new digit. We wait 60 seconds before "ticking over" to a new minute. Hex and binary are similar, but tick over every 16 and 2 items, respectively.Try converting numbers to hex and binary here:
Mathematics
1 answer:
JulijaS [17]4 years ago
6 0

Answer:

Explained in detail Below.

Step-by-step explanation:

Let's look at first the decimal (base 10).

0 1 2 3 4 5 6 7 8 9 ...numbers are exhausted. 10 (note we take 1 and repeat the process) 11 12 13 14 15 16 17 18 19.. 20 (note again we take 2 and repeat the process) 21 22 23 24 25 26 27 28 29.... 30 (again the process continues with 3 and goes on)...

No we apply similar process with Binary numbers (Base 2).

0 1 ...(Numbers are exhausted)... 10 11 (We repeat the process) 100 101 110 111 ( and it continues ) 1 000 1001 1010.

And the same process can be applied to the Hexa-decimal numbers (Base 16).

0 1 2 3 4 5 6 7 8 9 (Note! 10 is A Because numbers are not exhausted) A B C D E F.  (0 to F).

after f there are no more numbers, the 10 11 12 13 14 15 16 17 18 19 1A 1B 1C 1D 1E 1F..... and the process continues.

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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
A circle has an area of 314.1592. What is the diameter? (round to the nearest whole number)
ad-work [718]

Answer:

20

Step-by-step explanation:

The area of a circle is equal to pi*radius^2

We can then write this as

314.1592=π*r^2

We then divide pi to get

100=r^2

take the square root and you find that the radius equals around 10

The diameter is always equal to the radius times two which means that the diameter is 20

hope this helps

8 0
3 years ago
What is the missing numerator?
Jet001 [13]
The answer is b)04 I did this on my test and got it correct
4 0
3 years ago
Read 2 more answers
Pls help!!!!!!!!!!!!!!!!!!!!!!
azamat

Answer:

the answer is 35 over 102 or 35/102

Step-by-step explanation:

so first we turn that 1 and 1/5 into 6/5 and then we flip the numbers into 5/6. so now we multiply 7/17 x 5/6 = 35/102. The Number can not be reduced.

Brainliest if you liked the answer.

3 0
3 years ago
Which of the following is a quadratic function?
Gala2k [10]

Answer:

A

Step-by-step explanation:

A

when multiplied out

the highest exponent of x is 2

y = 2x² + x - 6

7 0
3 years ago
Read 2 more answers
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