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:
The five friends had 10 fingers to start with; one had two each
Step-by-step explanation:
The statement says each gave one of not all of his ginger in the toasting session.
Scale factor is given by:
(length of larger figure)/(length of smaller figure)=(width of larger figure)/(width of the smaller figure)=3.4
The length of the larger figure will be given by:
length=(scale factor)*(length of smaller figure)
=3.4*6=20.4 cm
width of the larger figure will be given by:
width=(scale factor)*(width of smaller figure)
=3.4*4.5
=15.3 cm
Therefore the dimension of the new parallelogram will be 20.4 cm by 15.3 cm
Step-by-step explanation:
Given equaiton is in the form of ax^2 +bx+c=0
we apply quadratic formula to solve for x
a= 1 b = -12 and c= 59
Divide the 12 and square root terms by 2
so 
and 
