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3 years ago

Given w = 1 + i, what is arg (w) and |w|? Explain how you got your answer.

Mathematics

1 answer:

kirill [66]3 years ago

8 0

Answer:

arg (w)=π/4 and |w|=√2

Step-by-step explanation:

If z= x+iy is a complex number, then |z| is given by √ ( x²+y² ).

And the argument (z) is given by Ф = tan⁻¹ ( y/x ) where -π < x < π.

Now, in our case w= 1+i i.e. x=1 and y=1.

Therefore, arg (w) = tan⁻¹ (1/1) = π/4 and |w|=√ ( 1²+1² ) = √2 (Answer)

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Use the law of cosines to find the value of 2*4*5 cos theta

sweet-ann [11.9K]

We can proceed in solving the problem since all information are given such as 2*4*5costheta.
we have a=4, b=5, and C=theta
let us solve for "c" using Pythagorean
c²=a²+b²
c²=4²+5²
c=6.4
Solving for theta or C
c²=a²+b²-2abcosC
6.4²=4²+5²-2*4*5*cosC
C=90

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4 years ago

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If it takes 68 seconds for you to walk up a flight of stairs from the first floor to the third-floor how long would it take you

Rudiy27

Answer:

204 Seconds

Step-by-step explanation:

Step 1 - 68/2 this is to find the unit cost in seconds that it takes to walk up the stairs to get 34.

The 2 is from the amount of flights of stairs you have to walk up to get from floor 1 to floor 3.

Step 2 - 34*6 this is because the unit price is 34seconds/flight of stairs to get 204.

Answer 204 Seconds.

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2 years ago

Lola says these two expressions have the same value.

zhuklara [117]

Answer:

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Step-by-step explanation:

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3 years ago

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A case a 24 pairs of same king of sports shoes cost a little more than $800. Explain whether $28 per pair is a good estimate of

bixtya [17]

Total number of pairs = 24 pairs.

Total cost of 24 pairs = $800 approximately.

Cost of each pair = $\frac{Total \ cost \ of\ 24 \ pairs }{Number \ of \ pairs }$

Plugging values in the above formula, we get

Cost of each pair = $\frac{800}{24}$

If we divide 800 by 24, we get 33.33 approximately.

But in the given problem, estimated cost is given $28 per pair.

If we subtract 33.33-28, we get $5.33.

So, the estimated cost is $5.33 each pair less than the actual cost of each pair.

Therefore, $28 per pair is not a good estimate of the price.

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4 years ago

Can u guys PLEASE answer question 26 and 27. THIS IS URGENT

Nadya [2.5K]

Step-by-step explanation:

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3 years ago