In the figure below
1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

Where

Thus,

thus, BC = 7.5
2) BX = 9, BA = 15, BY = 15, YC = y
In the above diagram,

Thus, from the theorem of similar triangles,

solving for y, we have

thus, YC = 10.
Answer:
Point A is in the interior of both circles
Step-by-step explanation:
<u><em>Verify each point</em></u>
we know that
Point H is in the interior of greater circle but is outside smaller circle
Point A is the center both circles, then is in the interior of greater circle and is in the interior of smaller circle
Point B is on the smaller circle and is in the interior of greater circle
therefore
Point A is in the interior of both circles
First, find the volume of the whole cube
Volume of cube = 4 x 4 x 4 = 64 cm³
The volume of sand is 25% of the volume of cube so,
Volume of sand = 25/100 x 64 = 16 cm³
Answer:
<h2>
64 units³</h2>
Step-by-step explanation:
2 units × 4 units × 8 units = 64 units³