Answer:
- 1364
Step-by-step explanation:
The n th term of a geometric series is
= a
where a is the first term and r the common ratio
4 ← is an n th term
with a = 4 and r = - 2
The sum to n terms of a geometric series is
=
, thus
=
=
=
=
= - 1364
Answer:
D. 647.8 miles per hour; S86.5°E
Step-by-step explanation:
We assume the wind direction is supposed to be S58°E. Then the bearing of the plane measured clockwise from north is 90°, and the direction the wind is blowing toward has a bearing of 122°. The resultant speed and direction is the sum of the two vectors, which is easily found using a suitable calculator:
583∠90° + 75∠122° = 647.8∠93.5°
The bearing of 93.5° translates to the direction S86.5°E.
_____
An angle east of south is subtracted from 180° (south) to find the equivalent bearing.
