Answer:
GD = 5/2 sqrt 2 = 2½ sqrt 2
EG = 5/2 sqrt 6 = 2½ sqrt 6
So,
In order to find numbers that are in between 3/8 and 6/7, Lucy must make common denominators first.
LCM of 8 and 7: 56
Multiply each fraction by the appropriate form of 1:


We can immediately see that any fraction with a numerator between 21 and 48 and a denominator of 56 will fit into the criteria Lucy needs.
The correct option is B.
Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.
Step-by-step explanation:
The volume of a cone can be calculated with this formula:

Where "r" is the radius and "h" is the height.
We know that the radius is half the diameter. Then:

We know the volume and the radius of the conical container, then we can find "h":

The diameter and height doubled are:

Now the radius is:
And the container capacity is

Then, to compare the capacities, we can divide this new capacity by the original:
Therefore, the container's capacity would be 8 times its original capacity.
Answer:
The equations have the same mathematical form:
S = A + V0 t - 1/2 g t^2
They are both quadratic equations in one variable (t here)
This equation expresses the distance traveled by an object in time t in the vertical direction - it does not necessarily refer to a graph
In the other equation, y can be considered a vertical coordinate equation on a graph and x would be the horizontal coordinate
Note that in one equation 3 terms are necessary to describe the displacement of an object in one direction
In the other 2 terms in the x-direction describe the displacement in the other or y-direction