Answer:
On the circle
Step-by-step explanation:
Because all of the points on a circle are equidistant from the center, if a circle has a radius of 10 then all of the points are 10 units from the center. Using the Pythagorean Theorem, you know that the distance from (4,0) to (-2,8) is:
, meaning that it is on the circle. Hope this helps!
Answer:
The volume of pyramid B is 81 cubic units
Step-by-step explanation:
Given
<u>Pyramid A</u>
-- base sides
-- Volume
<u>Pyramid B</u>
--- base sides
Required
Determine the volume of pyramid B <em>[Missing from the question]</em>
From the question, we understand that both pyramids are equilateral triangular pyramids.
The volume is calculated as:
Where B represents the area of the base equilateral triangle, and it is calculated as:
Where s represents the side lengths
First, we calculate the height of pyramid A
For Pyramid A, the base area is:
The height is calculated from:
This gives:
Make h the subject
To calculate the volume of pyramid B, we make use of:
Since the heights of both pyramids are the same, we can make use of:
The base area B, is then calculated as:
Where
So:
So:
Where
and