The areas of two similar solids are 48 and 147 square metres The smaller one

# The areas of two similar solids are 48 and 147 square

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8. The areas of two similar solids are 48 and 147 square metres. The smaller one has a volume of 16m 3 and one of its sides is 4.8m long. Find the volume of the larger one. (4marks) 9. Solve for x, given that log x 16=4. (4marks) 4

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10. The first term of an increasing arithmetic progression is 3. the third, sixth and tenth terms form a geometric progression. Find the common difference of the arithmetic progression. (3marks) 11. Two baskets x and y have lemons and oranges. Baskets x contains 3 lemons and 5 oranges, while basket y contains 3 lemons and 4 oranges. A basket is selected at random and two fruits are picked from it one at a time without replacement. What is the probability that the fruits so picked are of the same type. (3marks) 5
12. If points A (1,3), B(5,-2) and c (-11,y) are collinear, calculate the value of y. (3marks) 13. If the area of an object is 10 square units, find the area of the image after a transformation whose matrix is 3 -1 5 2 (2marks) 14. A regular hexagon of side 10cm is inscribed in a circle. Calculate the area of the hexagon. (4marks) 15. Find the value of x if cos 3x-sin2x=0. (3marks) 6

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SECTION II (50MARKS) Answer ALL questions in this section.
• Fall '18
• ANYANZWA

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