A solid consists of a conical part ,a clyindrical part and a hemispherical part. All the parts have the same diameter of 12cm .The height of the cylindrical part is 15cm and the slanting height of the conical part is 10cm .( take pie as 3.143). calculate the height of the solid? calculate the surface of the solid to one decimal place?​

Express the following as a function of a single angle. cos(60) cos(-20) - sin(60) sin(-20)

(c) the diagram shows the first three shapes of a matchsticks arrangement. first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.

If t8 = 4 and t12 = −2, find the first three terms of the arithmetic sequence.