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>
7 is the most common in this expression.
therefore to factorise, you will choose the most common factor.
the answer will be -7(r+5x)
write the balance of the bank statement in his checkbook
hope this helps :)
Answer:
The simplified form of the compound fractional expression is 
.
Step-by-step explanation:
Simplify the fraction as shown:
Take the LCM.
Simplify,
Hence, the simplified form of the compound fractional expression is .
