On Monday Carlos ran 1/8 of a mile on Wednesday he ran 5/6 of a mile Carlos ran 3/8 of a mile on Friday Which day did Carlos run
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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.
To know more about Trigonometric ratios click the link given below.
I'm assuming you are finding the equation of the line of Line J
Slope-intercept form: y = mx + b
[m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis]
For lines to be perpendicular, the slopes have to be negative reciprocals of each other. (basically changing the sign (+/-) and flipping the fraction/switching the numerator and the denominator)
For example:
slope = 2 or
Perpendicular line's slope = [changed sign from + to -, and flipped the fraction]
slope =
Perpendicular line's slope = [changed sign from - to +, and flipped the fraction]
Since you know the slope is 3, the perpendicular line's slope is . Plug this into the equation
y = mx + b
To find b, plug in the point (3, 8)
8 = -1 + b Add 1 on both sides to get "b" by itself
8 + 1 = -1 + 1 + b
9 = b