Question

Find the measure of the line segment indicated: UW and NM.

Answer 1

Analytical techniques to solve for the magnitude and direction of two vector displacements, as well as understanding how to calculate the wave velocity using the given wavelength and period.

Step-by-step explanation:

To determine the measure of the line segment UW and NM, it seems there are some missing details pertaining to their lengths directly. However, based on the context provided within the problem, we are dealing with vectors and their components. Given the components of the wind velocity Uwx and Uwy, we can find the magnitude and direction of a resultant vector using analytical techniques. This type of problem is found in physics, specifically within the study of kinematics and vectors.

For example, if Uwy is -9.29 m/s, indicating motion to the south, and Uwx is -13 m/s, signifying motion to the west, these components can be used to find the resultant vector's magnitude using Pythagorean theorem and its direction using trigonometry.

We can apply this analytical method to the problem of walking 18.0 m straight west and then 25.0 m straight north by representing these walks as vector displacements A and B, respectively. The sum R = A + B gives us the total displacement from the starting point. The magnitude of R is found by taking the square root of (18.0 m)^2 + (25.0 m)^2, and the direction can be calculated using the arctangent of the ratio of the two legs.

Wave velocity (Uw) can also be determined from the given wavelength (λ) and period (T) through the formula Uw = λ/T.

Answer 2

• The measure of the line segment NM is equal to 16 + x.
• If x is equal to 3, the measure of line segment UW is 23.

Step-by-step explanation:

To find the measure of the line segment UW, we need to use the information provided about the lengths of line segments TV and UW.

From the given hint, we have:

TV = 14 + 2x + 2

UW = 12 + 2x + 5

To find the measure of UW, we can substitute the value of x into the expression for UW.

Let's assume that the value of x is known. Substituting this value into the expression for UW will give us the measure of UW.

For example, if we assume x = 3, we can substitute this value into the expression for UW:

UW = 12 + 2(3) + 5

UW = 12 + 6 + 5

UW = 23

Therefore, when x is equal to 3, the measure of line segment UW is 23.

To find the measure of the line segment NM, we can use the given hint and equations:

1. Given:

- KM = 16 + x - 3

- NM = x + 3

2. Substitute the value of KM from the given equation into the equation for NM:

- NM = (16 + x - 3) + 3

- Simplifying, NM = 16 + x

Therefore, the measure of the line segment NM is equal to 16 + x.