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:
76
or 238.76 
Step-by-step explanation:
The volume of a cylinder is V = 
Here the radius is r = 
= 
The height is given as 19 ft
Then plug in all the numbers into the equation
V = 
Answer:
240pi
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer: <u>24 years</u>
Step-by-step explanation:
% • total = Answer
4.25% • $40,000 = Answer
.0425 • $40,000 = Answer
Answer = $1,700 per year
40,000 ÷ 1,700 = 23.5
<u>23.5 rounded to the nearest year is 24</u>
