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Harrizon [31]
2 years ago
6

Find the missing value when given the modulus.

Mathematics
1 answer:
kolbaska11 [484]2 years ago
3 0

Solving the complex number, we get the value of the missing value that is ‘a’ = -6

We  have been given the expression as

          |a – i| = √37          (1)

Which is an expression of complex number. The general expression of complex number is given as

    z = x + iy

 where x is the real part and iy is the imaginary part

To find the modulus value, the formula is given by,

  |z| = |x + iy|

   |z| = √[(real part)2 + (imaginary part)2]

 |z| = √(x2 + y2)

According to the question, |z| = √37         (2)

Equating equation (1) and (2), we get

√(a2 + 1) = √37

(a2 + 1) = 37

a2 = 37 – 1

a2 = 36

a = √36

a = ±6

Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.

Hence the value will be negative. Therefore, the missing value will be -6.

Learn more about complex number here : brainly.com/question/5564133

#SPJ9

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In an ice cream shop there is some money in a drawer. After 6 ice creams were sold, there were 70 euros left in the drawer. Afte
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Answer: There were 40 euros in the drawer at the beginning.

Step-by-step explanation:

When we subtract 6 from 16, we get 10 more ice-creams were sold.

Similarly, we subtract 70 from 120, we get 50 euros was the total selling price of 10 ice-creams.

i.e. Selling price of 1 ice-cream = (50)÷10 =5 euros

Selling price of 6 ice-creams = 6 x 5 = 30 euros

Money in the drawer at the beginning = 70-30 = 40 euros

Hence, there were 40 euros in the drawer at the beginning.

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3 years ago
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8th grader here, what do you need help with?

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The plus minus of a player for the first forty games of the season is listed below. A plus when is your team scored more
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Step-by-step explanation:

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If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
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b

Step-by-step explanation:

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Read 2 more answers
81 is 37.5% of what number?
laila [671]

Hi,

81 is 37.5% of 216.

"1. We assume, that the number 37.5 is 100% - because it's the output value of the task.  

2. We assume, that x is the value we are looking for.  

3. If 100% equals 37.5, so we can write it down as 100%=37.5.  

4. We know, that x% equals 81 of the output value, so we can write it down as x%=81.  

5. Now we have two simple equations:

1) 100%=37.5

2) x%=81

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=37.5/81

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 81 is what percent of 37.5

100%/x%=37.5/81

(100/x)*x=(37.5/81)*x       - we multiply both sides of the equation by x

100=0.46296296296296*x       - we divide both sides of the equation by (0.46296296296296) to get x

100/0.46296296296296=x  

216=x  

x=216                          "

Have a great day!

3 0
3 years ago
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