Given:
a.) Suppose that Juan found a crop circle with a 1350 ft radius.
b.) He follows a 2000 ft arc on the circle.
To find the central angle, we will be using the following formula:
Where,
S = Arc Length = 2000 ft.
r = radius = 1350 ft.
Θ = Central angle (in radians)
We get,
Therefore, the answer is 40/27 radians.
Answer:
Vertex = (12,64)
The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.
X-intercepts: 4 and 20
The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.
Step-by-step explanation:
To find the vertex we can use the formula for the x-coordinate of the vertex:
x_v = -b/2a
Where a and b are coefficients of the quadratic equation (in this case, a = -1 and b = 24)
So we have that:
x_v = -24 / (-2) = 12
The vertex is 12 cups of coffee. Now we apply this value to find the y-coordinate of the vertex:
f(x) = -12^2 + 24*12 - 80 = 64
So the vertex is (12,64). The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.
To find the x-intercepts, we need to make f(x) = 0 and find the values of x:
-x2 + 24x - 80 = 0
Delta = 24^2 - 80*4 = 256
sqrt(Delta) = 16
x1 = (-24 + 16)/(-2) = 4
x2 = (-24 - 16)/(-2) = 20
The x-intercepts are 4 and 20. The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.
It is an rational number. A rational number is a number that can be written as a ratio or fraction.
Answer:
$92.43
Step-by-step explanation:
Original value of money paid is $79
Tip is 17% of $79 = $13.43
Total is the original value + the tip
79 x 0.17(this is because 17% is the same as 17/100 If you turn this to a decimal you get 0.17) = $13.43
Total = $13.43 + $79
$92.43 the 43 cents are whole so there is no need to round off.
Answer:
24 more chocolotae chip cookies are sold
Step-by-step explanation:
CCC 7(15)+6 105+6=111
SC 6(15)-3 90-3 = 87
111-87 = 24
