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:
it depends on the size of the cubes
Step-by-step explanation:
and the volume of the containers
Answer:
C. 18
Step-by-step explanation:
We can find the numbers of payments using following formula
PV = PMT(1- (1+r)^-n)/r
PVr / PMT = 1 - (1+r)^-n
Where
PV = present value = $1,100
PMT = monthly payments = $71.50
r = interest rate = 19.2% / 12 = 1.6%
n = numbers of month = ?
Placing values in the formula
(1+r)^-n = 1 - PVr /PMT
1.016^-n = 1-1100 x 0.016/71.50
1.016^-n = 0.753846154
-n x log 1.016 = log 0.753846154
n = - log 0.753846154 /log 1.016
n = 17.8
n = 18 payments
Answer:
Yes, La Tasha is correct, because the correlation coefficient is r=0
Step-by-step explanation:
Please, see the attached file.
Thanks.
Answer:
Both are located on railroad lines
the question asks for similarities between Denver and Cheyenne. If you look at the map, both have the dotted line along them. In the key, the dotted lines represent railroads.