an angle whose measure is –102° is in standard position. in which quadrant does the terminal side of the angle fall? quadrant i
quadrant ii quadrant iii quadrant iv
2 answers:
Answer: Quadrant iii.
Step-by-step explanation: Given, the measurement of the angle in standard position is -102°. When we are considering negative angles, we will in the clockwise direction. Angles with measurement 0° to -90° will fall in the quadrant iv. Angles measuring -90° to -180° will fall in the quadrant iii. Since -102° lies between -90° and -180°, so, it will be lying in quadrant iii. Please see the attached figure.
Thus, the correct answer is quadrant iii.
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Answer:
The linear velocity of the cable ≅ 327 feet per minute.
Step-by-step explanation:
Given that the diameter of the drum = 8 feet
Radius of the drum =
=
= 4 feet
Radius of the drum = 4 feet
1 revolution = circumference of the drum
circumference of the drum = 2r
where r is the radius.
So that;
circumference of the drum = 2 x x 4
=
= 25.143
circumference of the drum = 25.143 feet
The linear velocity of the cable = (13 x 25.143) feet per minute
= 326.859 feet per minute
The linear velocity of the cable ≅ 327 feet per minute.