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>
The answer is D, 10. 4 years ago she was 6, so William must have been 1 (1/6 of 6). In 6 years time she will be 16 (10+[4+6 years]).
YOU JUST DO 28*7 and you get 196
Answer:
-2, b, a+c
Step-by-step explanation:
Answer:
-3.5
Step-by-step explanation:
We have to find the distance between x and z along the y-axis.
This will be: 5 - -6 = 11 units
1/5 th of 11 = 1/5 × 11
= 11/5
= 2 1/5 = 2.5
Now add 2.5 to -6
2.5 + -6 = -3.5
The value of y = -3.5
