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
I can't see the problem so repost it and tag me in it
Answer:
3x+4
Step-by-step explanation:
Root3 would be between 1 and 2 on the number line. This is known because 1 squared is 1, and 2 squared is 4.
As the price per hour worked is $11, then 11 is the coefficient (or multiplier) of the number of hours Rita and Tina had worked. As for Rita, she will receive an extra $32 flat wage for her total overtime hours, so it will not be multiplied any further. Expressing their total wages mathematically:
Rita's total wages = 11r + 32
Tina's total wages = 11t
