Question
A bag contains 8 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 the number of black balls in the bag.Solution
Number of white balls = 8 Let x be the number of black balls. Total number of balls in the bag = 8 + x Also, the probability of drawing a black ball from the bag is twice that of drawing a white ball. ⇒ x/(8 + x) = 2 [8/(8 + x)] ⇒ x = 2 × 8 = 16 Hence, the number of black balls in the bag = 16
- In triangle DEF, GH is drawn parallel to side EF. If DG = 9 cm, GE = 3 cm and DH = 6 cm, find DF.
What is the height of an equilateral triangle with a side length of 12√5 cm?
In a ∆ABC, points P, Q and R are taken on AB, BC and CA, respectively, such that BQ = PQ and QC = QR. If ∠ BAC = 75°, what is the measure of &...
Two triangles DEF and XYZ are congruent to each other such that DE = 10 cm, YZ = 24 cm, and ∠DEF = ∠XYZ = 90⁰. Find the circumradius of ΔDEF.
...The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is the area of the triangle?
- The base of a right pyramid is an equilateral triangle with side 10 cm. If the height of the pyramid is 55√3 cm, calculate the volume of the pyramid.
If two triangles EFG and UVW are congruent, then which of the following statement(s) is/are true?
I. EF = UV
II. ∠FEG = ∠UVW
Find the inradius of an equilateral triangle whose altitude is 9√3 cm.
In a right-angled triangle, the legs are in the ratio 3:4, and the hypotenuse is 25 cm. Find the perimeter of the triangle.
If the angles of a triangle are in the ratio of 2:5:8, then find the value of the biggest angle.
