Answer:
The modulus of the complex number 6-2i is:

Step-by-step explanation:
Given the number

We know that
where x and y are real and 
The modulus or absolute value of z is:

Therefore, the modulus of
will be:










Therefore, the modulus of the complex number 6-2i is:

Answer: 
Step-by-step explanation:
Here the total numbers are 1, 4, 3, 7, 6
Since the total number of possible arrangement =
The total number of the odd numbers in the given numbers = 3
Thus the possible arrangement that the first three digits will be odd numbers = 
Thus, the probability that the first three digits of Irvings ID number will be odd numbers = the possible arrangement that the first three digits will be odd numbers / total possible arrangement =
= 
The image of the given scenario is attached below.
A right angled triangle is formed, with one angle equal to 27 degrees. The perpendicular side is 155 and we are to find the length of guy wire which makes the hypotenuse of the right angled triangle.
Using the formula of sine, we can write:
Rounding to nearest whole number, the length of the guy wire that must be attached is 341 feet.
330 miles / 5.5 hours
= 54.54 miles/hour.
Glad I could help!