The area of a regular hexagon is
... A = (3√3)/2×s² . . . . . where s is the side length
Of course, the 6-sided figure will have a side length that is 1/6 of the perimeter.
... s = (48 in)/6 = 8 in
... A = (3√3)/2×(8 in)² = 96√3 in² . . . area of your regular hexagon
Total height of the cake and the candles is 17.1 cm
Step-by-step explanation:
- Step 1: Convert the mixed fractions into decimal expressions.
11 7/10 cm = 117/10 = 11.7 cm
5 4/10 cm = 54/10 = 5.4 cm
- Step 2: Find total height of the cake and the candles
Total height = 11.7 + 5.4 = 17.1 cm
We have that
x²<span> + 7x + c
</span><span>Group
terms that contain the same variable
</span>(x² + 7x )+ c
<span>Complete
the square. Remember to balance the equation
</span>(x² + 7x+3.5² )+ c-3.5²
Rewrite as perfect squares
(x+3.5)²+ c-3.5²
so
c-3.5² must be zero
c-3.5²=0------- c=3.5²------> c=12.25
the answer isthe value of c must be 12.25
