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.
Answer:
$27.79 - $8.32 = $19.47 Divided by $6.49 = 3
Step-by-step explanation:
Kelly bought 3 stuffed animals.
5*3 + 5*4
The 5 must multiply through the parenthesis.
Answer:
C. None of the above
Step-by-step explanation:
<u><em>Which expressions are equivalent to -f-5(2f-3)−f−5(2f−3) ?
</em></u>
<u><em>A. -11f - 3
</em></u>
<u><em>B. -11f + 15
</em></u>
<u><em>C. None of the above</em></u>
To find the expressions that are equivalent to -f-5(2f-3)−f−5(2f−3), we will follow the steps below:
-f-5(2f-3)−f−5(2f−3)
lets start by opening the parentheses
-f -10f+ 15-f-10f + 15
add the like terms together
-f -10f-f-10f + 15+ 15
-22f + 30
The expression -f-5(2f-3)−f−5(2f−3) is equivalent to -22f + 30
Therefore non of the first to option is equivalent to the given expression, hence the correct option is c. none of the above
The answer is D
Hope that was fast enough
