Answer:
D
Step-by-step explanation:
C=2PI R
Radius is 24
pi is 3.14
Then you just solve it which turns out to be 150.8
First question , Third option
Second question, 1st option
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
<h3>How to derive a sinusoidal expression</h3>
In this problem we need to find a <em>sinusoidal</em> expression that models the curve seen in the picture. The most typical <em>sinusoidal</em> model is described below:
f(x) = a · sin (b · x + c) + d (1)
Where:
- a - Amplitude
- b - Angular frequency
- c - Angular phase
- d - Vertical midpoint
Now we proceed to find the value of each variable:
Amplitude
a = - 2 - (-6.5)
a = 4.5
Angular frequency
b = 2π / T, where T is the period.
0.25 · T = 4 - 3
T = 4
b = 2π / 4
b = π / 2
Midpoint
d = - 6.5
Angular phase
- 2 = 4.5 · sin (π · 4/2 + c) - 6.5
4.5 = 4.5 · sin (π · 4/2 + c)
1 = sin (2π + c)
π = 2π + c
c = - π
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
To learn more on trigonometric functions: brainly.com/question/15706158
#SPJ1
Answer:
1) convert these words into 2 equations:
x+y=6
y=x+4
1) for the first equation graph by intercepts:
x intercept: x+0=6
x=6
y intercept: 0+y=6
y=6
hence put point (0,6) and (6,0) on the graph
2nd equation:
graph by slope intercept: go to (0,4) on the graph. go up one and over one to the right. You should end up at (1,5)
so graph (0,4) and (1,5)
hope this helps
