Answer:
= 3√3 + 3i
Step-by-step explanation:
Cos 30° = √3/2
Sin 30° = 1/2
Therefore;
z = 6 (cos 30° + i6 sin 30°)
= 6 (√3/2) + i 6 (1/2)
= 3√3 + 3i
Answer:
see below
Step-by-step explanation:
14. We can represent 1 as √1 and 2 as √4 and because 1 < 3 < 4, we know that √3 is in between 1 and 2. However, 3 is closer to 4 than it is to 1 so √3 is about 2.
15. Again, 3 is √9 and 4 is √16. 9 < 10 < 16 so √10 is in between 3 and 4, however, since 10 is closer to 9 as it is to 16, we know that √10 is about 3.
16. -4 = -√16 and -5 = -√25, since 16 < 22 < 25, we know that -√22 is in between -4 and -5 but 22 is closer to 25 so the answer is -5.
17. -10 = -√100 and -11 = -√121 so -√120 is in between -10 and -11. Since 120 is closer to 121, the answer is -11.
1 inch =25.4 millimeters
therefore to calculate the number of millimeters that are in 57 inches we proceed as follows;
(25.4)/1*57
=1447.8/1
=1447.8 millimeters
The answer is 1447.8 mm
Therefore we conclude that there are 1,447.8 millimeters in 57 inches.
Answer:
She did not consider the multiplicative inverse property of a real number
Step-by-step explanation:
Jacinta in her conclusion did not consider the Multiplicative Inverse property of real numbers.
Let x be an irrational number.
So, 
If x is an irrational number, then its reverse is also an irrational number. So by the Multiplicative Inverse property their product is 1 and 1 is a rational number. Thus, Jacinta was incorrect.
Answer:
Please mark be brainliest and I hoped this helped!
x = 45°
Step-by-step explanation:
Since this is an isosceles triangle, that means that x, and the angle opposite from x, are the same. We take 135° and subtract that from 180°. That gives us 45°. Since the angle opposing x is 45°, then x is 45° as well.
