When
the perimeters of both figures will be equal.
Step-by-step explanation:
Step 1:
The triangle has side lengths of
and
.
The perimeter of the triangle is the sum of the lengths of the sides.
The perimeter of the triangle 
Step 2:
The perimeter of the hexagon is 6 times its side length. The side length 
The perimeter of the hexagon
Step 3:
To determine the value at which both the perimeters are equal, we equate both the equations to each other.

So when
the perimeters of both figures will be equal.
Answer:
100•(0.7)3•(1-0.7)5-3
100•0.7•3•0.3•5-3
315-3
312
Answer:
A
Step-by-step explanation:
9 items at $50 each would be 9 × $50 = $450, which is more money than he has.
Answer:
(At least) 10 centimeters.
Step-by-step explanation:
The radius of the ice cream scoop is 2.5 cm and the radius of the cone is also 2.5 cm.
We want to determine the height of the cone such that it will fit all of the ice cream when it melts without any spilling.
First, we will find the volume of the ice cream scoop. The volume for a sphere is given by:
Since the radius is 2.5 cm, the volume of the full ice cream scoop is:
The volume of a cone is given by:
The radius of the cone is 2.5 cm. Therefore:
The volume of the cone should be equal to the volume of the scoop. So.
The height of the cone should be (at least) 10 cm.