The pentagon below has an area of 8.3 square centimeters and a side of 2.2. what is the approximate length of the apothem? a.0.4 cm b.0.8 cm c.1.5 cm d.1.9 cm

C. 1.5 cm

Step-by-step explanation:

A pentagon is a polygon with 5 sides.  

The formula for the area of a regular polygon is

where a is the apothem and p is the perimeter.  The perimeter is found by multiplying the number of sides of the figure by the length of 1 of those sides:

5(2.2) = 11

Now we have everything we need to solve for the length of the apothem.  

Begin by multiplying both sides by 2 to get rid of the fraction, so

16.6 = 11a  Divide both sides by 11 to get

a = 1.5090909 or

C. 1.5 cm

good for u

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct