5) In a maths class the ratio of pupils that had done their homework to those that had not is 5:4. 15 pupils had done their homework. The teacher said they would collect the
homework the next day. The next day, the ratio of those who had done it to those that
had not was 2:1.
The teacher said that only 3 more pupils had done their homework. Could the teacher
be correct?
You must show all of your working.

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?

Ab based on the given diagram, if m_1 = 60° then m 2 = 30 60 90 180

Write the expression as a single natural logarithm. 2 in a - 4 in y