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
Let number of caps =x
charge of one cap =$6
charge of x caps =6x
shipping fee =$25
total budget =$1000
let us make an inequality equation here,
Since amount cannot be greater than 1000 , so
25+6x ≤1000
6x≤975
x≤162.5
rounding off ,
x≤163
So she can buy maximum 163 caps
I assume you mean -x^3 + 4x + 3
so what you need is 4x + 3 > x^3
the only whole number it could be is 2 because 2x2x2 +3 > 2x2x2
gg easy
the legs of a triangle are related as 
wehre a, b, and c are the legs and the hypotonuse of a triangle respectively
let's find some stuff
one easy way is to find a rational value for c find values of a and b
lets pick c=5
now split up 25 into 2 things that don't have rational square roots
if we say 
and 
then we get
and 
(which are both irrational)
