Answer:
Options B and D.
Step-by-step explanation:
The general form of sine function
where, |A| is amplitude, is period, is phase shift and D is y-intercept.
The general form of cosine function
where, |A| is amplitude, is period, is phase shift and D is y-intercept.
In function,
Amplitude :
y-intercept : -1
In function,
Amplitude :
y-intercept : -1
In function,
Amplitude :
y-intercept : 0
In function,
Amplitude :
y-intercept : -1
Therefore, the correct options are B and D.
Answer:
2pi/C = 45/360
Step-by-step explanation:
L = arc length
C = circumference
x = central angle
Tying those three variables together leads us to this
L = (x/360)*C
The idea is we effectively take a fraction of the circumference to end up with the arc length.
In the formula above, we can rearrange terms to get
L = (x/360)*C
360L = Cx
L/C = x/360
We know that L = 2pi and x = 45, which means we end up with
L/C = x/360
2pi/C = 45/360
Well, let's take a peek at the graph of that line, hmmm let's pick two points, heck, those tow on the extremes anyway, and those are (-5,2) and (5,-1), alrite.. now, let's do some checking on that.
The correct answer is 5 cm. We can find this by substituting the values we've been given into the formula for the volume of a rectangular prism.
V = lwh Volume of a rectangular prism
100 = 20h Substitute. Keep in mind that the base is length times width, so 20 accounts for both variables.
5 = h Divide both sides by 20
The height of the rectangular prism is 5 cm.
Hope this helps!