The measured value of Theta is 53.1 degrees.
Given
The radius of the circle below intersects the unit circle at (3/5, 4/5).
<h3>What is tan theta?</h3>
The measure of the tan angle is defined as the ratio of perpendicular by the base.
The measure of the tan theta is;
Where the value of x is 3/5 and y is 4/5.
Substitute all the values in the formula
Hence, the measured value of Theta is 53.1 degrees.
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Answer:
x(x-2)
Step-by-step explanation:
X^2-2x
x(x-2)
The rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The distance traveled by passenger train = 245 miles
The distance traveled by freight train = 245 miles
The time takes for both trains is the same.
Let's suppose the rate of the passenger train is x and the rate of the freight train is y;
As we know,
Distance = speed×time
245/x = 200/y
200x = 245y
200x - 245y = 0 ..(1)
x = 15 + y ..(2)
Equations (1) and (2) represent the situation.
After solving equations (1) and (2):
Thus, the rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.
Learn more about the linear equation here:
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