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What are the coordinates of the points A and B in the figure below?

The angle of elevation of the top of a tower from a point on the ground, which is 30m away from the foot of the tower is ${30}^{\circ }$. Find the height of the tower.

Multiply each odd number by 2 and add 1. If these numbers are written in order, does it form and arithmetic sequence? Write the algebraic form of this sequence. Now consider the odd numbers not in this sequence. Do they form and arithmetic sequence? What is its algebraic form?

There are three figures of areas $x^2,12x$ and $z$ respectively, as shown. Figures A and C are squares while B is a rectangle, with length of one side as $x$. What should be the value of $z$ so that all the three figures can be arranged to form a square of side $(x+6)?$

If 2 triangles have the same height, the ratio of their areas is equal to the

Find the equation of a line passing through the point (1,4) and intersecting the line x-2y-11=0 on the y-axis.

Two sides of a triangle are 7 and 6 centimetres long and the angle between them is 140°. What is the length of the third side?

Identify the major segment in the image.(Tap on the correct color)

From a window (h metres high above the ground) of a house in a street, the angles of elevation and depression of the top and the foot of another house on the opposite side of the street are $\theta$ and $\varphi$ respectively. Show that the height of the opposite house is $h(1+tan\theta cot\varphi )$ metres [3 MARKS]

Question 9 (ii)
Classify $\sqrt{225}$ as rational or irrational.

Hello Joseph George sir..you have answered my previous question but i have a doubt in it

(l-1)(b+4).. this you simplify and abswer me my answer is lb+4l-b-4 and yours is lb+4l+b-4..plz clear it sir

In $△$ ABC, $\angle Aand\angle C$ are given, the number of triangles that can be constructed with this data is -

A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 16 cm and 12 cm. Find the capacity of the glass.

In △ ABC right-angled at B, a perpendicular is drawn from B which meets AC at M. If the ratio of areas of △ ABC and △ AMB is 9:4, find $\frac{AC}{AB}$ .

Question 29
If the number 7254*98 is divisible by 22, the digit at * is

(A) 1
(B) 2
(C) 6
(D) 0

A water container can hold $40$ litres of water. The number of ice cubes of side $5cm$ that can be fitted into the container is___

In the given figure, find the measure of side DC.

If lines $a_{1}x+a_{2}y+a_3=0$ and $a_{4}x+a_{4}y+a_5=0$ are parallel, then $\frac{a_3}{a_5}$ may be equal to

A vertical tower stands on a horizontal plane and is surmounted by a vertical flag-staff of height 5 metres. At a point on the plane, the angles of elevation of the bottom and the top of the flag-staff are respectively ${30}^{\circ }and{60}^{\circ }$ . Find the height of the tower.

The following table shows the birth month of 40 students of class IX.

$\begin{array}{cccccccccccc}& & & & & & & & & & & \\ Jan.& Feb.& March& April& May& June& July& Aug.& Sept.& Oct.& Nov.& Dec.\\ 3& 4& 2& 2& 5& 1& 2& 6& 3& 4& 4& 4\end{array}$

Find the probability that a student was born in August.

The area of one face of a cube is $100m^2$. Find the volume of the cube.

If 'a' is the length of one of the sides of an equilateral triangle ABC, base BC lies on x-axis and vertex B is at origin, find the coordinates of the vertices of the triangle ABC.

Two vertices of a triangle are (-4, 6) and 2, -2). Its centroid is (0,3). Find its third vertex.

Use Euclid's division lemma to show that the square of any positive integer is either of the form 3mor 3m+1for some integer m

A closed cylindrical tank of radius 7 m and height 5 m is made from a sheet of metal. If the breadth of the rectanglar sheet is 10 m, then the length of the sheet is ______

If x and y are odd integers then prove that x²+y² is even but not divisible by 4