Answer:
1624
Step-by-step explanation:
multiply them
This is rationalising the denominator of an imaginary fraction. We want to remove all i's from the denominator.
To do this, we multiply the fraction by 1. However 1 can be expressed in an infinite number of ways. For example, 1 = 2/2 = 3/3 = 4n^2 / 4n^2 (assuming n is not zero!). Let's express 1 as the complex conjugate of the denominator, divided by the complex conjugate of the denominator.
The complex conjugate of (3 - 2i) is (3 + 2i). Then do what I just said:
4/(3-2i) * (3+2i)/(3+2i) = 4(3+2i)/(3-2i)(3+2i) = (12+8i)/(9-4i^2) = (12+8i)/(9+4) = (12+8i)/13
This is the answer you are looking for. I hope this helps :)
3,4,5 are Pythagorean triplets. then 6,8,10 are, so the answer is 10
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Answer:
Step-by-step explanation:
z-score representing 85% is 1.04 (from table)
Let x be the score representing the lower limit of 85%.
<u>Use the formula to find z-scores:</u>
<u>We have:</u>
<u>Substitute the values and solve for x:</u>
- 1.04 = (x - 78)/7
- x - 78 = 7.28
- x = 85.28
The lower limit of the top 15% is 85.28.
Since your score is greater than 85.28 you earned an A
Answer:
13 sides
Step-by-step explanation:
1980 = (n − 2)×180 Formula for number of sides
n − 2 = 1980/180 Divide both sides by 180
n - 2 = 11
+ 2 + 2 Add 2 to both sides
n = 13
