Answer:
-6
-6i
6i
6
Step-by-step explanation:
1) √4 . √-3 . √-3
-6
2) √-4 . √-3 . √-3
.
Therefore, 
- 6i
3) √4 . √3 . √-3
6i
4) √4 . √3 . √3
Therefore, √4 . √3 . √3 = 2 . 3 = 6
400/2 = 200
200 + 20 = 220
200 - 20 = 180
Answer: He had gone 220 miles.
He was 180 miles from the finish and 220 from the start, so he was 40 miles closer to the finish than to the start.
Answer:
13.
Step-by-step explanation:
If each of the first 12 guests happens to be born in a different month, the 13th person will have to be born in the same month as one of the first 12.
Answer:
24
Step-by-step explanation:
8 x 6 = 48 and 48/2 = 24
The angle of depression is the angle that is created from a horizontal line drawn from the upper angle of the right triangle that is created in this situation. The angle of depression is an angle exterior to the triangle. It is complementary to the interior angle. So if the angle of depression is 30 and lie outside the triangle, the interior angle has to measure 60. The pole creates a 90 angle with the ground, so what we have here is a 30-60-90 triangle. The one base angle is the right angle (the one the pole makes with the ground) and the other base angle measures 30. We are given the length of the base leg as 75 and we are looking for the height of the pole (the other leg). You would use the tangent ratio to solve for the height of the pole.
Tan(30)=x/75, and 75 tan(30)=x. Doing that on your calculator in degree mode gives you a pole height of 43.3 feet, or 43 feet (which is the height to the nearest foot)
