If tan\(A = \dfrac{5}{7}\), then find the value of \(\dfrac{7\sin A - 3\cos A}{7\sin A + 3\cos A} + 4\)
\(4\dfrac{1}{4}\)
\(3\dfrac{5}{7}\)
\(3\dfrac{1}{5}\)
\(7\dfrac{1}{3}\)
The given table shows the number of runs scored in IPL matches by four Indian batsmen in a particular year.
| Player | Runs scored |
| P | 800 |
| Q | 620 |
| R | 1200 |
| S | 650 |
What is the total number of runs scored by all four batsmen?
If sin B = \(B = \dfrac{15}{17}\), what is the value of cos B (sec B - tan B) ?
Given that 0<B<\(\dfrac{\pi}{2}\)
\(\dfrac{1}{16}\)
\(\dfrac{2}{15}\)
\(\dfrac{8}{15}\)
\(\dfrac{2}{17}\)
A discount series of 10% and 16% on an invoice is the same as a single discount of:
ABC is an equilateral triangle. P, Q and R are the mid-points of sides AB, BC and CA, respectively. If the length of the side of the triangle ABC is 11 cm, then the area (in cm2) of ∆PQR is:
\(\dfrac{21\sqrt{3}}{16}\)
\(\dfrac{11\sqrt{3}}{16}\)
\(\dfrac{121\sqrt{3}}{16}\)
\(\dfrac{111\sqrt{3}}{16}\)
Simplify \(1\dfrac{1}{3} + 1\dfrac{3}{4} \times 1\dfrac{2}{3} \div 3\dfrac{1}{2}\)
\(2\dfrac{1}{3}\)
\(2\dfrac{1}{6}\)
\(2\dfrac{1}{5}\)
\(3\dfrac{1}{4}\)
P and Q are two fixed points 10 cm apart, and R is a point on PQ such that PR = 6 cm. By what percentage is the length of QR decreased when the length of PR is increased by 5%?