If  $$ {x^{\sqrt{x}}}={({x{\sqrt{x}}})^{x}}$$, then the find the value of x

What is the simplification value of $${cotA+tanB}\over{cotB+tanA}$$?

In ΔPQR , ∠R=54° the perpendicular bisector of PQ at S meets QR at T. If ∠TPR =46°, then what value of (in degree) ∠PQR?

A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm²) in the total surface area?

A dealer marks his goods at such a price that after allowing a discount of 12.5% for cash payment, he makes a profit of 20%. What is the marked price (in rupees) of the article which costs him Rs. 210?

Ramesh scored 73 marks in subject A . He scored 56% marks in subject B and X marks in subject C. maximum marks in each subject were 150. The overall percentage marks obtained by Ramesh in all the three subject together was 54%. How many marks did he score in Subject C?

A man starts going for morning walk every day. The distance walked by him on the first day was 2 km. Everyday he walks half of the distance walked on the previous days. What can be the maximum total distance walked by him in his life-time?

In an isosceles triangles ABC, AB=AC the median drawn on the same arms are perpendicular to each other find AB/BC?