Answer:
Step-by-step explanation:
Area of unshaded sector
![= \frac{(360 - 167 )\degree}{360 \degree} \times \pi {r}^{2} \\ \\ 17.8= \frac{197\degree}{360 \degree} \times \pi{r}^{2} \\ \\ \pi{r}^{2} = \frac{17.8 \times 360}{197} \\ \\ \pi{r}^{2} = \frac{6408}{197} \\ \\ \pi{r}^{2} = 32.5279188 \\ \implies \\Area\: of \: circle= 32.5279188\: yd^2 \\\\ Area \: of \: shaded \: sector \\ \\ = 32.5279188 - 17.8 \\ \\ = 14.7279188 \\ \\ \approx 14.7 \: {yd}^{2}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%28360%20-%20167%20%29%5Cdegree%7D%7B360%20%5Cdegree%7D%20%20%5Ctimes%20%5Cpi%20%7Br%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%2017.8%3D%20%20%5Cfrac%7B197%5Cdegree%7D%7B360%20%5Cdegree%7D%20%20%5Ctimes%20%5Cpi%7Br%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%5Cpi%7Br%7D%5E%7B2%7D%20%20%3D%20%20%5Cfrac%7B17.8%20%5Ctimes%20360%7D%7B197%7D%20%20%5C%5C%20%20%5C%5C%20%5Cpi%7Br%7D%5E%7B2%7D%20%20%3D%20%20%5Cfrac%7B6408%7D%7B197%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cpi%7Br%7D%5E%7B2%7D%20%20%3D%2032.5279188%20%5C%5C%20%20%5Cimplies%20%5C%5CArea%5C%3A%20of%20%5C%3A%20circle%3D%2032.5279188%5C%3A%20yd%5E2%20%5C%5C%5C%5C%20Area%20%5C%3A%20of%20%5C%3A%20shaded%20%5C%3A%20sector%20%5C%5C%20%20%5C%5C%20%20%3D%2032.5279188%20-%2017.8%20%5C%5C%20%20%5C%5C%20%20%3D%2014.7279188%20%5C%5C%20%20%5C%5C%20%20%5Capprox%2014.7%20%5C%3A%20%20%7Byd%7D%5E%7B2%7D%20)
Answer:
B
Step-by-step explanation:
You're passing to the left first and getting back to your side on the right
Answer:
1/2 at x=pi
Step-by-step explanation:
d/dx sin(x) = cos(x)
Therefore:
d/dx sin(2pi-pi/3) = cos(5pi/3) = 1/2
Answer:
A. the vertical intercept (often called the y-intercept)
B. the slope of the line
C. V(t) = 100t +2000
D. V(10) = 3000, the value in year 10
E. see attached
Step-by-step explanation:
<h3>a. </h3>
You are told that year 0 is the year that you made the investment. Then the value in year 0 represents <em>the value of the investment in the year you made the investment</em>. (It is sometimes called the "initial value.")
When the function is graphed, the value in year 0 will be the value on the graph at t=0. If t=0 is the vertical axis (as it usually is), then 2000 is the vertical intercept--the point where the line meets the vertical axis.
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<h3>b.</h3>
To find the difference between values in consecutive years, subtract one from the other:
2100 -2000 = 100 . . . . the change in value in consecutive years
On the graph, for each increment of 1 in the value of t, the value of the investment will increase by this amount. That means the slope of the graph (rise/run) is 100/1 = 100. The difference in value in consecutive years is the slope of the graph.
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<h3>c.</h3>
The equation of the line is ...
V(t) = (slope) × t + (vertical intercept)
V(t) = 100t +2000
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<h3>d.</h3>
V(10) = 100×10 +2000 = 1000 +2000
V(10) = 3000 . . . . . the value of the investment in year 10
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<h3>e.</h3>
see attached
Yes it does matter which way you subtract