Ethan's monthly salary is $1850. In a particular month, he spent 20.5% of his salary on room rental, $690 on food and $940 on other expenses. Express the amount that he overspent as a percentage of his monthly salary, giving your answer correct to 2 decimal places.

He overspent 8.61% as a percentage of his monthly salary.

Step-by-step explanation:

8.61% (2 dp)

Step-by-step explanation:

Salary = 1850

Food = 690

Other = 940

Rent = 20.5% = 20.5/100 = 0.205

Therefore, 20.5% of the salary = 0.205 x 1850 = 379.25

Total spent = 690 + 940 + 379.25 = 2009.25

Percent change = [ (difference between initial and final value) ÷ initial value] x 100

=[(2009.25 - 1850) ÷ 1850] x 100 = 8.61% (2 dp)

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.