The angles of a triangle are in the ratio 2:3 and the third angle is 2/3 of a right angle. Find all angles in degrees.​

Angles are 60 , 48 , 72

Step-by-step explanation:

Third angle = of right angle

Ratio of two angles = 2 : 3

The two angles are 2x , 3x

2x + 3x + 60 = 180  {Angle sum property of triangle}

       5x + 60 = 180    {Subtract 60 from both sides}

             5x = 180 - 60

              5x = 120

                x = 120/5

x = 24

2x = 2* 24 = 48

3x = 3*24 = 72

the expected value of the random variable : 0, 1 and 2

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204