The length of the base of a right-angled triangle is 40 cm and its hypotenuse is 41 cm long. Whatis its area (in cm2) and perimeter (in cm), respectively?
If \(\left(x + \dfrac{2}{x}\right) = 7\) , then what is the value of \(\left(2x^{2} + \dfrac{8}{x^{2}}\right)\) ?
The diameter of a wheel is 1.33 m. What distance (in m, to the nearest whole number) will it travel in 380 revolutions?\(\text{(Take }\pi = \dfrac{22}{7}\text{.)}\)
If \(x - 3 = \dfrac{1}{2x}\) , then what is the value of \(\left(x^{4} + \dfrac{1}{16x^{4}}\right)\) ?
Study the line graph and answer the question that follows.
The line graph represents the number of vehicles (in thousands) manufactured by two automobile companies A and B over the years from 2010 to 2015. The X-axis represents the years and the Y-axis represents number of vehicles in thousands.
(The data shown here is only for mathematical exercise. They do not represent the actual figures of the country.)
The average value of the vehicles manufactured by Company A is what per cent of the average value of the vehicles manufactured by Company B during 2010 to 2015?