Answer: 109.1 degrees
Step-by-step explanation:
To find the angle between the given vectors, we will use the formula below:
Cos(θ) = (U.V)/ |U|.|V|
Where
U = 13i - 8j
V = 2i + 9j
U.V = (2x13) + (-8×9)
U.V = 26 - 72
U.V = - 46
|U| = sqrt ( 13^2 + 8^2)
= sqrt ( 233) = 15.264
|V| = sqrt( 2^2 + 9^2)
= sqrt ( 85 ) = 9.22
Substitute all the value of the parameters into the formula
Cos ø = -46 / (15.3 × 9.2)
Cos ø = - 46 / 140.72
Cos Ø = - 32687
Find the cos inverse of the value
Ø = cos^-1( -32687)
Ø = 109.079 degrees
Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees
Answer:
x=7/6
Step-by-step explanation:
subtract the 4x from both sides of the equation
(2x+6)-4x=4x-3-4x
find common denominator
(2x+6)/5+(5(-4)x)/5=4x-3-4x
then combine fractions
(2x+6+5(-4)x)/5=4x-3-4x
then multiply the 5&4
(2x+6-20x)/5= 4x3-4x
combine terms
(-18x+6)/5= -3
then multiply everything by 5
-18x+6= -15
subtract the 6 from both sides
-18x= -21
divide -21 by -18
(-21)/(-18)=x
find greatest common multiple (3) and solve
x = 7/6
Answer:
630
Step-by-step explanation:
Answer:
the answer is B or D
Step-by-step explanation:
