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If (x + 3) varies directly as y and x = 3 when y = 12, what is the value of x when y = 8?
The ratio of the number of men to the number of women in a 20 member committee is 3:1. How many women must be added to the 20-member committee so as to make the ratio of men to women 3:2?
Points X, Y and Z are located in the same horizontal plane such that Y is 12 km north of X and Z is on a bearing of 270° from X. If |XZ| = 6km, calculate, correct to one decimal place, lYZl
If log 2 = 0.3010 and log 2\(^y\) = 1.8062, find; correct to the nearest whole number, the value of y.
The length, in cm, of the sides of a right angled triangle are x, (x+2) and (x+1) where x > 0. Find , in cm, the length of its hypotenuse
The diagram is the graph of \(y = 6 + x - x^2\). The graph intercepts the x-axis at P and R and the y-axis at Q.
When \(y = 3\frac{1}{3}\), what is the positive value of x?
The diagram is the graph of \(y = 6 + x - x^2\). The graph intercepts the x- axis at P and R and the y- axis at Q.
What is the value of y at Q?
Simplify \(5\frac{1}{4}\div \left(1\frac{2}{3}- \frac{1}{2}\right)\)
In the diagram above, ∠PQU=36°, ∠QRT = 29°, PQ||RT. Find ∠PQR
The height of a right circular cone is 4cm. The radius of its base is 3cm. Find the curved surface area
A right pyramid is on a square base of side 4cm. The slanting side of the pyramid is \(2\sqrt{3}\) cm. Calculate the volume of the pyramid
In the diagram O is the center of the circle. Reflex angle XOY = 210° and the length of the minor arc is 5.5m. Find, correct to the nearest meter, the length of the major arc.
In the diagram above, O is the centre of the circle. Reflex angle XOY = 210º and the length of the minor arc is 5.5m. Find, correct to the nearest metre the length of major arc.
The number line represents
What is the length of \(\bar{RP}\)?
Given that P = {b, d, e, f} and Q = {a, c, f, g} are subsets of the universal set U = {a,b, c, d, e, f, g}. Find P' ∩ Q
The variance of a given distribution is 25. What is the standard deviation?