Let x be the number.
Then the equation can be written as
3 -2x = x +8
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Considering the figures, the area that will be painted is of 38.9 square feet.
<h3>What is the area of a rectangle?</h3>
The area of a rectangle of length l and width w is given by:
<h3>What is the area of a triangle?</h3>
The area of a triangle of base b and height h is given by:
<h3>What is the area of a semi-circle?</h3>
The area of a semi-circle of radius r is given by:
In this problem:
- The rectangle with l = 6 ft and w = 8 ft will be painted, along with the triangle of dimensions b = 8 ft and h = 4 ft.
- The semi-circle with r = 4 ft will not be painted.
Hence, the area that will be painted, in square feet, is given by:
More can be learned about the area of a figure at brainly.com/question/10489198
Law of cosine:
c² = a² +b² -2ab*cosC.
Because the triangle is equilateral a=b=c=x,
and we can write,
x²=x² +x² -2xx*cosC
x² =2x² -2x²* cos C
-x² = -2x²*cos C
cos C= 1/2,
so m∠C=60⁰.
Because all sides are equal, and across of the equal sides should be equal angles, all angles will be also equal and = 60⁰.
