Answer: OPTION B.
Step-by-step explanation:
Given the following equation:
These are the steps to solve it:
<em>Step 1</em>
Add like terms on the left side of the equation:
<em>Step 2</em>
Apply Addition property of equality, which states that: 
Then, we can add 25 to both sides of the equation:
<em>Step 3</em>
Applying the Subtraction property of equality, we can subtract 
from both sides:
<em>Step 4</em>
Applying the Division property of equality, we can both sides of the equation by 3. Then:
Answer:
Perimeter = 18(1 + √3 ) cm
Step-by-step explanation:
The radius of each ball = 1/2 * 6 = 3 cm.
Lines drawn from the 2 points of contact for one billiard ball to the center of the ball are at right angles to the sides of the triangle ( Tangent/radius theorem).
If we now draw a line from the vertex of the big triangle to the center of the ball we get 2 right triangles, and they are 30-60-90 triangles.
If the adjacent side of a triangle ( which is part of the side of the big triangle) = x:
tan 30 = 3 / x
x = 3 / tan 30
= 3 / 1/√3
= 3√3 cm.
There are 6 of these sides in the big triangle so their total length =
18√3 cm.
The three 'middle' sides joining 2 billiard balls each have a length of 2 radii = 6 cms ( as they form a rectangle with the radii of 2 billiard balls).
So the perimeter of the triangle = 18√3 + 3(6)
= 18(1 + √3 ) cm
I would have liked to transfer a diagram but I can't get to copy it to this site.
As the equation is already given, we can just substitute the corresponding values in it!
Volume = 6 x 2 x 8
= 96 in3
So the answer is C. :)
There would be a vertical dotted line at -1 and a horizontal solid line at -3. Then you could shade the lower right hand corner.
The answer is 50000.
hope this helps :)
