Simplify the following expression.
\(\frac{52 + 1170}{2 + \frac{1}{8}\ \mathrm{of}\ 2 - \frac{1}{4}} = 26 + 13 \times 2\)
If 5 cos θ = 4 sin θ, 0° < θ < 90°, then what will be the value of secθ ?
\(\frac{\sqrt{41}}{5}\)
\(\frac{3}{5}\)
\(\frac{\sqrt{41}}{16}\)
\(\frac{\sqrt{41}}{4}\)
If x + y = 27 and x2 + y2 = 425, then the value of (x - y)2 will be:
AB is the diameter of a circle of radius 9 cm. PQ is a chord (not a diameter) that intersects AB at M perpendicularly. If AM : BM = 5 : 4, then the length of chord PQ will be:
\(5\sqrt{5}\ \mathrm{cm}\)
\(6\sqrt{5}\ \mathrm{cm}\)
\(6\sqrt{3}\ \mathrm{cm}\)
\(8\sqrt{5}\ \mathrm{cm}\)
The speed of a car is 40% more than that of a bus. A train covers 1020 km in\(8\frac{1}{2}\)and a half hours. How much distance will the car cover in \(1\frac{3}{4}\) hours if the speed of the bus is half the speed of the train?
In a right-angled triangle ABC right angled at C, sin A = sin B. What is the value of cos A?
\(\frac{\sqrt{3}}{2}\)
1
\(\frac{1}{\sqrt{2}}\)
\(\frac{1}{2}\)
Study the given graph and answer the question that follows.
By what percentage (approximately) is the average number of vehicles of type B produced in 2014, 2016 and 2018 less than the number of vehicles of type A produced in 2017?
AB is 12 cm long chord of a circle with centre O and radius 10 cm. The tangents at A and B intersect at P. What is the length of OP?