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
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Answer:
Step-by-step explanation:
The formula for the volume of a cone is:
Given:
- Radius = 2cm
- Height = 9cm
Let's plug these into the equation:
Now solve:
Therefore, the volume of the cone is 37.7cm^3.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
Answer:
I don't know if you're asking for the product of prime using index notation but I got :
2 × 2 × 2 × 5 × 5
Answer:
x=8.06
Step-by-step explanation:
find you half base and use PYTHAGORAS THEOREM to find the opposite side (x)
Answer:
120°
Step-by-step explanation:
To find angle BCD, we need to spot that the angle is on a straight line (ACD); angles on a straight line add up to 180°. This means we can find the missing angle by doing 180 - 60 which is 120°.
Hope this helps!