5. Given the equation y = (1/4) cos[(2pi/3)*theta]:
5a. For the general equation y = a cos(bx), the period is given by 2pi/b. In this equation, b = 2pi/3, so this means that 2pi/b = 2pi/(2pi/3) = 3. Therefore, the period of this equation is 3, and the cosine wave repeats itself every 3 x-units.
5b. For the general equation y = a cos(bx), the amplitude is given by a. Therefore the amplitude is a = 1/4, and this means that the cosine wave's range is from -1/4 to 1/4 for all values of x.
5c. The equation of the midline is y = 0. This represents the average value over the wave. This is determined by adding the highest and lowest values of the range and taking the average, in this case, 1/4 + (-1/4) = 0, and 0 / 2 = 0. Another way to do this is using the general equation y = a cos(bx) + c, where the midline's equation is y = c. In this case, there is no value of c in the given, implying that c = 0, and the midline is y = 0.
6. Let the horizontal distance be x. Then tan42 = h/x, and h = x tan42. Then using the Pythagorean theorem: 3280^2 = h^2 + x^2
3280^2 = x^2 (tan42)^2 + x^2
3280^2 = x^2 [(tan42)^2 + 1]
x = 2437.52
Therefore, h = x tan42 = 2,194.75 ft.
I do not know ur language I think it is spanish sorry I couldn't help
The error that Loren made is C. She should have solved 149 = StartFraction 19 Over 9 EndFraction (10) + b for b.
<h3>What is an equation?</h3>
It should be noted that an equation is a statement that shows that two mathematical expressions are equal.
In this case, for Loren to find the slope, this will be:
m = y2 - y1/x2 - x1
= (149 - 130)/(10 - 1)
= 19/9
In this case, the error that Loren made is that she should have solved 149 = StartFraction 19 Over 9 EndFraction (10) + b for b.
Learn more about equations on:
brainly.com/question/13763238
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Your number is 8 I believe
