Question
A trapezium has parallel sides of lengths 10 cm and 20
cm, and its height is 8 cm. Find the length of the diagonal if the diagonals are equal.Solution
Using the trapezium diagonal formula for equal diagonals: Diagonal^2 = (sum of squares of parallel sides) / 2 + height^2. Diagonal^2 = (10^2 + 20^2) / 2 + 8^2 = (100 + 400) / 2 + 64 = 250 + 64 = 314. Diagonal = √314 ≈ 17.73 cm.
A bag contains 3 blue, 2 green, and 5 black pens. If five pens are selected randomly, what is the probability that exactly two are green and three are b...
A bag contains 5 red books, 7 yellow books and 7 green books . 3 books are drawn randomly. What is the probability that the ...
If the letters of the word HORIZON be arranged at random, what is the probability that all the vowels are together?
A bag contains 13 white and some black balls. If the probability of drawing a black ball from the bag is twice that of drawing a white ball, find...
In a bag there are a total of 60 fruits. The average of the number of apples and mangoes in the bag is equal to the number of bananas in the bag. The ra...
What is the probability that three S’s come consecutively in the word ‘SUCCESSION’?
In a class of 30 students, 18 students like mathematics, 15 like science, and 8 like both subjects. What is the probability that a randomly selected stu...
A card is drawn randomly from a collection of total face cards. What is the probability that the drawn card is a jack?
- There are 2 boxes. Box A contains 6 gums and 4 candies and Box B contains 3 gums and 7 candies. If a box is selected at random and 2 things are drawn out o...
The probability of selecting a rotten egg randomly from a basket of 600 eggs is 0.14. What is the number of rotten eggs in the basket?
