Construct a quadrilateral ABCD in which AB = 3.5 cm, BC = 5cm, CD = 4.6 cm
= 125° and 2 C = 60°.
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Answer:
Given that y is directly proportional to x ^ 2 and that y = 2 when x = 3 , find the value of y when x = 6
2) Y is inversely proportional to X ^ 2 Given that y = 2 when x = 3 , i) express Y in terms of X ii) find the value of Y when x = 5 .
3) Given that y is inversely proportional to (x + 3) and that y = 4 when x = 2 , i) express y in terms of x ii) find the value of y when x = 7 . Y
4) When a stone is thrown upwards with an initial speed of s metres per second, it reaches a maximum height, h metres. Given that h varies directly as the square of s and that h = 5 when s = 10 , a) work out a formula connecting h and s b) calculate the value of s when h = 20
5) Two variables, x and y, vary in such a way that y is inversely proportional to the square of x. a) When x = 4 , y = 5 Find the formula giving y in terms of x. b) Find the value of y when x = 5 .
6) The weight of a metal sphere varies directly as the cube of its radius. The weight of a metal sphere of radius 3 cm is 1.02 kg. Calculate the weight of a metal sphere of radius 5 cm.