Answer:
The perimeter of the hexagon is 48.5 feet
Step-by-step explanation:
In this question, we are asked to calculate the perimeter of a regular hexagon, given the length of its apothem and its area value
Recall;
Mathematically the area of a regular hexagon A = 1/2 * P * a
where P is the perimeter of the hexagon which is unknown according to the question, a is the apothem of the hexagon which is 7 feet and A is the area which is 169.74 sq.feet according to the question
Plugging these values into the equation, we have;
169.74 = 0.5 * 7 * P
P = 169.74/3.5
P = 48.50 ft
Answer:
Length of sides of poster = 2 Ft
Length of sides of box = 2.41 Ft
Since the box has a longer side than the poster, the poster will lie flat when placed in the box.
Step-by-step explanation:
In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:
Area of poster = 4 square feet
Area of poster = (Length)²
4 = (Length)²
∴ Length = √(4)
Length of poster = 2 Ft
Volume of box = 14 cubic feet
Volume of box = (Length)³
14 = (Length)³
∴ Length = ∛(14)
Length = 2.41 Ft
∴ Length of sides of poster = 2 Ft
Length of sides of box = 2.41 Ft
Since the box has a longer side than the poster, the poster will lie flat when placed in the box.
30 were adults and 10 were children :) just add it up
Answer:
The solution x=1.25 represents the cost of snacks per day.
Step-by-step explanation:
