Answer:
or 
Step-by-step explanation:
The given equation is
Let us treat this as a quadratic equation in 
.
where 
The solution is given by the quadratic formula;
We substitute these values into the formula to obtain;
or 
or 
or 
or
First list all the factors of 12;
1, 2, 3, 4, 6, 12
now let's see which ones are multiples of 3;
3, 6, 12
so all we have left are numbers 1, 2 and 4.
hope that helps, God bless!
81,85,89 are the missing numbers
9514 1404 393
Answer:
779.4 square units
Step-by-step explanation:
You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.
One central triangle will have a central angle of α = 360°/n. For example, a hexagon has a central angle of α = 360°/6 = 60°. The area of that central triangle is given by the formula ...
A = (1/2)r²sin(α)
Since there are n such triangles, the area of the n-gon is ...
A = (n/2)r²sin(360°/n)
__
For a hexagon (n=6) with radius 10√3, the area is ...
A = (6/2)(10√3)²sin(360°/6) = 450√3 ≈ 779.4 . . . . square units
Answer:
$600.29.
Step-by-step explanation:
At the end of each month the value is multiplied by 107% = 1.07.
So after 6 months the value is 400(1.07)^6
= $600.29.
