The figure shows circles of radii 3cm and 2cm with centres at X and Y respectively. The circles have a transverse common tangent of length 25cm. Calculate X...

Simplify \( \frac{2\sqrt{3}+3\sqrt{5}}{3\sqrt{5}-2\sqrt{3}} \)

Find the simple interest rate percent per annum at which ₦1,000 accumulates to ₦1,240 in 3 years

Find the value of (0.006)3 + (0.004)3 in standard form

A survey of 100 students in an institution shows that 80 students speak Hausa and 20 students speak Igbo, while only 9 students speak both language. How many...

If U = (s, p, i, e, n, d, o, u, r), X = (s, p, e, n, d) Y = (s, e, n, o, u), Z = (p, n, o, u, r) find X ∩ Y ∪ Z

Evaluate 64.7642 - 35.2362 correct to 3 significant figures

Given that loga2 = 0.693 and loga3 = 1.097, find loga 13.5

If the function f(fx) = x3 + 2x2 + qx - 6 is divisible by x + 1, find q