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:
The number lines are shown below.
Step-by-step explanation:
In the given problem the sign of inequality is missing.
We know, that there are 4 signs of inequality ">", "<", "≥" and "≤".
The possible inequalityes are
In , all points on the right side of 23 are included in the solution set.
In , all points on the left side of 23 are included in the solution set.
In , 23 and all points on the right side of 23 are included in the solution set.
In , 23 all points on the left side of 23 are included in the solution set.
Answer:
In this case, the 30% represents the proportion of the sample. It is a statistic that can be used to estimate a parameter of the population.
Step-by-step explanation:
In this case, the 30% represents the proportion of this specific sample (survey taken by the magazine).
It is a statistic that can be used to estimate a parameter of the population. In this case, it may be used to estimate the true proportion of "people in New York who believe that the Yankees will miss the playoffs this year".
If a new sample is taken, a new statistic will be calculated that may or may not be equal to 30%.
Answer:
u-shaped; y-intercept (0,6); symmetrical with respect to the y-axis
Step-by-step explanation:
Given that y = 2x² + 6
The graph would be the shape of that of a parabola. It can be u shaped or n shaped depending on the value of the coefficient of a comparing with the standard equation y = ax² + bx + c. If a > 0, it is u shape and if a < 0, it is n shape.
For this question, since a > 0 it would be u shaped and the intercept can be gotten by putting x = 0.
Therefore y = 0² + 6 = 0
The intercept is at (0,6) and is symmetrical with respect to the y-axis
A person drives 500 miles in 5 hours.
