Area of circle = pi r^2 = 78.54
r^2 = 78.54 / pi = 25
r = 5 inches
Each line from centre of the circle to a point on the hexagon = 5 ins
so consider one of the 6 congruent triangles formed from these lines:-
Vertex angle = 60 degrees
sin 30 = 0.5s / 5 (where s = one side of the hexagon).
0.5s = 5*0.5 = 2.5
s = 2.5 / 0.5 = 5
So the perimeter of the hexagon is 6*5 = 30 inches
Answer:
5
Step-by-step explanation:
Add 6 to both sides. The answer is 5.
Answer:
Given: 
.
Assuming that 
, 
while 
.
Step-by-step explanation:
By the Pythagorean identity 
.
Assuming that , 
.
Rearrange the Pythagorean identity to find an expression for 
.
.
Given that :
.
Hence, 
would be:
.
Use the formula i=prt, where i is the interest earned, p is the principal, r is the rate (as a decimal fraction) and t is the elapsed time, in years.
Here i = $72 = $1200 r (9/12) (9 months is 9/12, or 3/4, of 1 year)
Reducing,
$72 = $900r
Solving for r, r=0.08, or 8 percent per year.
Answer:
137.51
Step-by-step explanation:
