1. Divide wire b in parts x and b-x.
2. Bend the b-x piece to form a triangle with side (b-x)/3
There are many ways to find the area of the equilateral triangle. One is by the formula A=

A=

Another way is apply the formula A=1/2*base*altitude,
where the altitude can be found by applying the pythagorean theorem on the triangle with hypothenuse (b-x)/3 and side (b-x)/6
3. Let x be the circumference of the circle.

so

Area of circle =

4. Let f(x)=

be the function of the sum of the areas of the triangle and circle.
5. f(x) is a minimum means f'(x)=0
f'(x)=

=0



6. So one part is

and the other part is b-
Answer:
7.24pm
Step-by-step explanation:
196+50=3.9h
0.9h=0.9x60mnt=54mnt
3.9h=3h 54mnt
3:30pm+3h 54mnt
3:30pm+3h 54mnt=7.2pm
9514 1404 393
Answer:
a = 9 meters
Step-by-step explanation:
The perimeter is the sum of the side lengths:
28 m = a + 2m + a + 8m
18 m = 2a . . . . . . . . . . . . . . . . subtract 10m, collect terms
9 m = a . . . . . . . . . . . . . . . divide by 2
The value of a is 9 meters.
Answer:
SSS
Step-by-step explanation:
For this case we must find an expression equivalent to:

So:
We expanded
by moving 2 out of the logarithm:

By definition of logarithm properties we have to:
The logarithm of a product is equal to the sum of the logarithms of each factor:

The logarithm of a division is equal to the difference of logarithms of the numerator and denominator.

Then, rewriting the expression:

We apply distributive property:

Answer:
An equivalent expression is:
