DIM Trial Test

Calculate the percentage of the shaded region of the given figure  

A line segment of 40 cm forms an angle of 30 ° with the plane. Find the projection of this segment on that straight line.

Find the sum of the integer solutions of the inequality  $$\frac{3\left(x-7\right)}{x+8}\le0$$  

Find:

Solve the inequality: $$\left(\frac{1}{5}\right)^{2x+1\ }<\frac{1}{25}$$  

Find the smallest positive integer root of the equation $$\cos\left(\pi\left(x+2\right)\right)=1$$  

Find the LCM(a;b) if the product of numbers  a and b is equal to 72000 and the product of their non-common prime factors is equal to 20.

Point M is the midpoint of side BC of a triangle ABC.  

 Find  Area(ABC) : Area(AMB).

Find: