Answer:
circumference:
2 × 3.14 × 5.8m = the circumference ** (use your calculator here, ill die if I in do this)
Answer: 99cm^2
Step-by-step explanation:
The area of a parallelogram is the base*the height.
The base is 4+5 = 9 cm.
Therefore, the area of a parallelogram is 9*11 = 99cm^2
Answer:

Step-by-step explanation:
<u>Function Modeling</u>
Since the air in the lungs goes periodically from a minimum value to a maximum value, we can simulate its behavior as a sinusoid. Selecting a sine or a cosine will depend on the initial condition we'll assume since the question doesn't provide one. We'll set the initial state when the lungs are at maximum air content. The sinusoid that starts from maximum is the cosine, so our model is

Where Ao is the amplitude of the oscillation, w is the angular frequency and M is the midline or y-displacement of the wave.
The values of A run from a min of 3.5 to a max of 4.5. That gives us twice the amplitude, thus

The vertical displacement or midline can be found as the shift from the center value:

We also know the cycle repeats 6 times per minute. If the time is expressed in minutes, then the frequency is f=6
Knowing that

Then

The model is

where t is expressed in minutes
Answer:
C.
Step-by-step explanation:
Answer:
<em>y = -2/3 x + 1</em>
Step-by-step explanation:
The line y = -2/3 x + 5 is in y = mx + b form, where m is the slope, so the slope of the given line is -2/3. Parallel lines have equal slopes, so the equation you are looking for also has slope -2/3.
The parallel line has equation
y = -2/3 x + b
We need to find b.
Since we are given a point, we substitute x and y with the x- and y-coordinates of the given point and solve for b. x = 6, and y = -3.
y = -2/3 x + b
-3 = (-2/3)(6) + b
-3 = -4 + b
1 = b
Now that we know b = 1, we can write the equation.
y = -2/3 x + b
y = -2/3 x + 1