Answer:
<em>71.6 degrees </em>
Step-by-step explanation:
The formula for calculating the angle between two vectors is expressed as;
u.v = |u||v|cos theta
u.v = (8, 4).(9, -9)
u.v = 8(9)+4(-9)
u.v = 72-36
u.v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+(-9)²
|v| = √81+81
|v| = √162
36 = √80*√162 cos theta
36 = √12960 cos theta
36 = 113.84 cos theta
cos theta = 36/113.84
cos theta = 36/113.84
cos theta = 0.3162
theta = arccos (0.3162)
<em>theta = 71.6 degrees </em>
<em>Hence the angle between the given vectors is 71.6 degrees </em>
Answer:
No, thanks.
Step-by-step explanation:
Answer:
15 weeks
Step-by-step explanation:
Jon will increase his weigh 2 lbs a week which means he will be 178 lbs in 15 weeks{148+(15*2)} while Matt will decrease his weight from 1 lbs which means he will be 178 lbs in 15 weeks (193-15=178).
Answer:
The first one is 165,000 I think I don't know though
Step-by-step explanation:
16 divided by 14, 1/7 times 8, and 16/14 goes under 8/7. 14/16, 1/16 times 14, 7 divided by 8 go under 7/8