AREA OF SQUARE = SIDE * SIDE
==> (X-3)*(X-3) = (X-3)² = X²-6X+9 UNITS²
The initial value is 4 and the rate of change is -3/4
<h3>The distance between two landmarks is 123 meters</h3>
<em><u>Solution:</u></em>
We have to find the distance between two landmarks
<em><u>Use the law of cosines</u></em>
The third side of a triangle can be found when we know two sides and the angle between them
![c^2 = a^2 + b^2 - 2ab\ cos c](https://tex.z-dn.net/?f=c%5E2%20%3D%20a%5E2%20%2B%20b%5E2%20-%202ab%5C%20cos%20c)
Here, angle between 90 meters and 130 meters is 65 degrees
From figure,
a = 90
b = 130
c = d
Therefore,
![d^2 = 90^2 + 130^2 - 2(90)(130)\ cos 65\\\\d^2 = 8100 + 16900 - 23400\ cos\ 65\\\\d^2 = 25000 - 23400 \times 0.4226\\\\d^2 = 25000 - 9889.267\\\\d^2 = 15110.73\\\\d = 122.92\\\\d \approx 123](https://tex.z-dn.net/?f=d%5E2%20%3D%2090%5E2%20%2B%20130%5E2%20-%202%2890%29%28130%29%5C%20cos%2065%5C%5C%5C%5Cd%5E2%20%3D%208100%20%2B%2016900%20-%2023400%5C%20cos%5C%2065%5C%5C%5C%5Cd%5E2%20%3D%2025000%20-%2023400%20%5Ctimes%200.4226%5C%5C%5C%5Cd%5E2%20%3D%2025000%20-%209889.267%5C%5C%5C%5Cd%5E2%20%3D%2015110.73%5C%5C%5C%5Cd%20%3D%20122.92%5C%5C%5C%5Cd%20%5Capprox%20123)
Thus, the distance between two landmarks is 123 meters
Answer:
The number of hours worked per week
Step-by-step explanation:
To study this issue, one administrator was assigned to examine the relationship between the number of hours worked per week in a semester and that semester's GPA for a random sample of students.
Here the explanatory variable is - the number of hours worked per week.
An explanatory variable or also called an independent variable, is the variable that is manipulated by the researcher based on the variations in the response variable of an experimental study.