Answer:
(At least) 10 centimeters.
Step-by-step explanation:
The radius of the ice cream scoop is 2.5 cm and the radius of the cone is also 2.5 cm.
We want to determine the height of the cone such that it will fit all of the ice cream when it melts without any spilling.
First, we will find the volume of the ice cream scoop. The volume for a sphere is given by:
Since the radius is 2.5 cm, the volume of the full ice cream scoop is:
The volume of a cone is given by:
The radius of the cone is 2.5 cm. Therefore:
The volume of the cone should be equal to the volume of the scoop. So.
The height of the cone should be (at least) 10 cm.
ANSWER
B. Domain is (-∞,∞) and Range is (-∞,∞).
The given function is
![f(x) = \sqrt[3]{x - 6} + 5](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20-%206%7D%20%20%2B%205)
This is function is obtained by shifting the base cubic root function 6 units to the right and 5 units up.
This function is defined for all real values of x.
Therefore the domain is all real numbers.
The range is all real numbers.
The domain for this function becomes the range for the inverse function and the range becomes the domain.
Hence the domain is (-∞,∞) and the range is (-∞,∞).
So the ratio is at ¼ : 12, namely the drawing has ¼ inch to an actual 12 feet.
so, what would it be for an actual 15 feet on the drawing then?
Answer:
the distance formula is just the pythagorean theorem, A^2+B^2=C^2, or the distance, C=sqrt(A^2+B^2). In order to find any point between 50 and 60 units away, simply choose a set of coordinates that will satisfy the equation using the given point, (7, -2), where abs(7-x) is A and abs(y-2) is B. for example, let x =60 and y=0, then C=sqrt(53^2+(-2)^2) =52.96 ish. which is between 50 and 60.
Step-by-step explanation:
