In the given figure, ABCD and APQR are two parallelograms. If ∠APQ = 100°, find ∠CDR.
Simplify the following:
\(\frac{(3x^2)^5}{(6x^{-2})^2}\)
\(\frac{81x^{14}}{36}\)
\(\frac{27x^{14}}{4}\)
\(\frac{81x^6}{36}\)
\(\frac{27x^6}{36}\)
If the length l of a room is reduced by 10% and breadth b is increased by 10%, then find the positive change in its perimeter.
\( \frac{l-b}{5} \)
\( \frac{2}{5} \) (l-b)
\( \frac{2}{5} \) (l+b)
\( \frac{l+b}{5} \)
The given pie chart shows the percentage of expenditure on electricity by a family in different months. Study the chart and answer the question.
What is the central angle for the total expenditure on electricity in all the months together, EXCEPT May and August?
In the given right-angled triangle, where the lengths of the sides given are in cm, find the value of cos α + cot α.
\(\frac{333}{136}\)
\(\frac{375}{136}\)
\(\frac{15}{17}\)
\(\frac{19}{8}\)