Answer: 40 students.
Step-by-step explanation:
To solve this problem you mmust apply the steps shown below:
1. You know that there is a total of 100 students, then you can say that the 100% is 100 students.
2. Then, to calculate how much would 40% be, you must multiply 100 students by 40% which you rewrite as a decimal by dividing it by 100, as following:
40%/100=0.4
Then 40% of the students would be
100 studens*0.4=40 students
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-