Given: △dmn, dm=10√3 m∠m=75°, m∠n=45° find: perimeter of △dmn

Correct Answer is: Perimeter of ΔDMN is 54.873 units.

Solution:-

Given that DM=10√3,m∠M=75°,m∠N=45°

So,m∠D= 180-(75+45) = 60°

So to find perimeter we need other 2 sides also.

Let us use sine rule to find them.

Hence perimeter = DM+MN+DN

                             = 10+21.213+23.66

                             =54.873 units

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1  

b is the answer that makes most sense

step-by-step explanation: