Answer:
D
Step-by-step explanation:
We need the formula for arc length (in radians) to solve this problem. The formula is:
Where
s is the arc length
r is the radius of the circle
is the intercepted angle
In this diagram, we can see that is beign intercepted by the big arc with measure 20 cm. So arc length, s, is 20
Also, if we look, we see that the radius is 5 cm, so r = 5
Now, we substitute into formula and find :
This is given in radians, so is 4 radians
D is the correct answer choice.
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Answer:
6
Step-by-step explanation:
8(1/4) is 2 bc 1/4 of 8 is 2
2-1=.5(10)
.5 works like 1/2 so 1/2 is 10 is 5
then you get 2-1+5 then after that you get 6
b) Find the y-coordinate of the vertex. Show all work leading to your answer and write the answer in simplest form.
c) What does the vertex represent for this situation? Write 1 - 2 sentences to explain your answer.
Answer:
Step-by-step explanation:
We can find the vertex either by completing the square or taking advantage of the simple formula x = -b / (2a), which provides the x-coordinate of the vertex.
Here a = 2, b = -20 and c = 100. Then the x-coordinate of the vertex is at
x = -(-20) / (2*2), or x = 5.
Next, evaluate y = 2x^2 - 20x + 100 to find the y-coordinate of the vertex. It is y(5) = 2(5^2) - 20(5) + 100, or y(5) = 50 - 100 + 100, or 50. y = 50.
The vertex is at (5, 50). This states that the stock reaches its minimum value, $50 per share), after 5 months. From that time on, the stock appreciates (increases) in value.