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:
10 oranges
Step-by-step explanation:
4 oranges are needed to make one cup. 2 cups is 8 oranges and 1/2 cup is 2 oranges
Answer: A
Step-by-step explanation:
Answer:
213.52 cubic ft
Step-by-step explanation:
Diameter of pipe = 4ft
radius for circle is half of diameter
thus radius of pipe = 1/2 of 4ft = 2 ft
length of pipe = 17 feet
volume of cylinder is given by 
where r is the radius and l is the length of cylinder
.
thus volume of pipe is calculated below using above values

volume of pipe is 213.52 cubic ft.