we have
Let's Isolate the variable y in each of the cases and then compare with Fiona's equation to determine the solution of the problem
case A) 
Multiply by 
both sides
Divide by 
both sides
therefore
the case A) is not equal to Fiona's equation
case B) 
Multiply by both sides
Divide by 
both sides
therefore
the case B) is not equal to Fiona's equation
case C) 
Multiply by both sides
Divide by both sides
therefore
the case C) is not equal to Fiona's equation
case D) 
Multiply by 
both sides
Divide by both sides
therefore
the case D) is equal to Fiona's equation
<u>the answer is</u>
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.
Answer:
x ≥ 15
Step-by-step explanation:
200 + 20x ≥ 500
To solve this inequality, you must first subtract 200 from 500.
500 - 200 = 300.
Lastly, divide 300 by 20.
20x = 300
300 ÷ 20 = 15
Therefore, the value of x is 15.
Answer:
17 miles I hope this helps have a good day/night
