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:
Episodic
Step-by-step explanation:
There are different types of plot ,But the type of plot that was illustrated here is reffered to as episodic.
Episodic plot is the plot that can be described as one that is composed of series or varieties of different events, one of the unique features of the Episodic plot is that they are usually one chapter long, and they are usually related to one another.Each chapter of the plot posses its rising action, and this has relationship with somehow with the next and previous chapters.
The total events are joined together with just a common theme as well as characters.
The angle RAT which is made with AR and AT line and shown in the figure of protector, measures 30 degrees.
<h3>How to measure the angle in protector?</h3>
Protector is the most useful device to measure the angle between two lines. To measure the angle between two lines using the protector following steps is followed:
- Place the protector center point at the vertex of unknown angle.
- One side of angle should be place at 0 mark line of this device.
- Other side of angle will be equal to the angle shown in protector on that line.
In the given figure, The angle Between AR and AT line is 30 degrees shown in protector.
Thus, the angle RAT which is made with AR and AT line and shown in the figure of protector, measures 30 degrees.
Learn more about the protector here:
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Since they are both equal to y, you can set -7x and x+8 equal to each other.
- 7x = x + 8 and solve for x then use what you got for x to solve for y
Answer:
<h3>Area of a circle in terms of radius:</h3>
Area = π·r^2 = 3.14·9.5^2 = 283.5 square meters(*)
Area of a circle in terms of diameter:
Area = π·(d/2)^2 = 3.14·(19/2)^2 = 3.14·(9.5)^2 = 283.5 square meters(*)
Area of a circle in terms of circumference:
Area = C^2/4π = 59.69^2/4π = 3562.9/(4·3.14) = 3562.9/12.56 = 283.5 square meters(*)
(*) 283.52873698648 meters, exactly or limited to the precision of this calculator (13 decimal places).
Note: for simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.
Step-by-step explanation:
Hope it is helpful....
