The answer for the following points would be
( -2, 11/2 )
*Please let me know if this answer is correct.
*I also showed my work as well.
In order to find out what the value is when x=π, we have to model the function. It says it is a cosine wave, and a amplitude of 1/3 so we start as
1/3(cos(x))
It says a period of π/3. So the period of a cosine function is
2π/n
Where n is cos(nx)
So to find n, we set the period and that equal to each other
Finding n we get 6. So now we have
1/3(cos(6x))
The shift is -2π. When we have a shift of something, we put the opposite sign with the x. So now it's
1/3(cos(6x+2π))
Factor out a 6 and we get
1/3(cos(6(x+π/3))
If we add the period to x, nothing happens so it remains
1/3(cos(6x))
The vertical shift is -3 so we just add that to everything so it becomes
1/3(cos(6x))-3
Plugging in x=π we get
1/3(cos(6π))-3
Cos(6π) is 1 so it is 1/3 - 3, or -8/3
Answer:
98 teaspoons
Step-by-step explanation:
Aashvi is making garlic naan. The recipe calls for 2 cups of flour, but Aashvi only has teaspoons. If 24 teaspoons are equal to 1/2 cup, how many teaspoons will Aashvi use to measure 2 cups of flour? *
From the above question, we understand that:
1/2 cup of flour = 24 teaspoons
2 cups of flour = x teaspoons
Cross Multiply
1/2x = 24 × 2
x = 48 ÷ 1/2
x = 48 × 2
x = 98 tea spoons
Therefore, Aashvi will use 98 teaspoons to measure 2 cups of flour.
Answer:
for the first one x=4 and y=2
C = 2πr
c/2π = 2πr/2π <--divide both sides by 2π
c/2π = r
r = c/2π <-- answer :)