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Construct a histogram for the following frequency distribution:
$\begin{array}{ccccccc}\text{Class interval}& 5-12& 13-20& 21-28& 29-36& 37-44& 45-52\\ \text{Frequency}& 6& 15& 24& 18& 4& 9\end{array}$

Diagonals AC and BD of trapezium ABCD in which AB $\parallel$ DC, intersect each other at O. Prove that the triangle AOD is equal in area to triangle BOC.

40% of the population of a town are men and 39% are women. Find the number of men if number of children in the town is 12600.

A triangle with integral sides has perimeter 8 units.

The area of the triangle is ______sq.units.

a) 2

b) 2*2^1\2

c) 3*2^1\2

d) 4

The question is from euclid geometry but that chapter name is not available there.

Q- a line cannot be added to a rectangle nor can angle be compared with the hexagon. What do you conclude?

If the area of an isosceles triangle is 60 cm²and the length of each of its equal sides is 13 cm, find its base

x+y=w+z so prove that AOB is a line ^{sir or mam pls explain me} _how

Odd one out among the following numbers $\frac{1}{2},\frac{1}{3},\frac{1}{4},\frac{1}{5}$ is,

what are surds

The dimensions of a cuboid are in the ratio 4:3:1 and it's total surface area is 950cm^2 . Find the dimensions

If two angle are complement of each other then each angle is

1. 3

(0, -3) and (4, 0) are solutions of the linear equation:

If a linear equation has solutions (-2,2), (0,0) (2,-2) then it is of the form:

The lengths of the sides of some triangles are given, which of them is not a right angled triangle?

In the adjoining figure, $AOB$ is a straight line. Find the value of $x$. Hence, find $\angle AOC$ and $\angle BOD$.

ABCD is a rhombus in which $\angle C={60}^{\circ }$.Then ,AC:BD=?

(a) $\sqrt{3}:1$

(b) $\sqrt{3}:\sqrt{2}$

(c) 3:1

(d) 3:2

Show that the quadrilateral formed by joining the midpoints of the pairs of adjacent sides of a rhombus is a rectangle.

In a two-digit number, the units digit is twice the ten's digit. If $27$ is added to the number, the digits are reversed. Find the number.

In a multiple choice exam with 50 questions, 8 questions had A as the right answer, 13 had B, 15 had C and the rest had D. What is the probability that a question chosen at random had D as the correct answer?

The quadrilateral ABCD given below is a parallelogram. Find the values of y .

If ${9x}^2+{25y}^2=181$ and xy = - 6. Find the value of 3x + 5y.

In the diagram, ABD and BCD are isosceles triangles, where $AB=BC=BD$. What type of a quadrilateral is ABCD?

When $p\left(x\right)=4x^3-12x^2+11x-5$ is divided by (2x-1), the remainder is
(a) 0
(b) -5
(c) -2
(d) 2

In figure, AB = CB and O is the centre of the circle. Prove that BO bisects $\angle$ABC

Factorise

8(3a-2b)²-10(3a-2b)

Sir/ma'am

Que. Is 1/1.2 where 1.2 is a terminating decimal representation is it pratiphal no.

What is the distance of the point P (7, -6) from the x-axis and y-axis respectively? (Don't use Distance formula to find your answer)

The lines x = -3 and y = -4 intersect at the point ___.

The dimensions of a room are $8m\times 6m\times h.$ It has two doors each of size $2m\times 1m$ and one almirah of size $3m\times 2m.$ The cost of covering the walls by wallpaper which is $40cm$ wide at $Rs.1.25$ per metre is $Rs.\mathrm{362.50.}$ Find height.

The area of cross section of a pipe is 10 sq. cm and the speed of water flowing throught it is 20 cm/s. How long will it take to fill a tank whose capacity is 240 litres?

The base of a prism is in the form of an equilateral triangle of perimeter 12 cm. The height of the prism is 8 cm. What is the volume of of the prism?

Which is the equivalent rational number of $\frac{3}{4}$?

To create which non-acute angle(in degrees) directly is a set square used?__

In a $△ABC,$ if L and M are points on AB and AC respectively such that LM || BC. Prove that:
$\left(i\right)ar\left(△LCM\right)=ar\left(△LBM\right)\left(ii\right)ar\left(△LBC\right)=ar\left(△MBC\right)\left(iii\right)ar\left(△ABM\right)=ar\left(△ACL\right)\left(iv\right)ar\left(△LOB\right)=ar\left(△MOC\right).$

Question 92

There are 20 grams of protein in 75 grams of sauted fish. How many grams fo protein is in 225 grams of that fish?

You deposit Rs. 400 in a bank account which gives $5\%$ simple interest per year. How much interest would you have earned after 3 years?

ABCD is a parallelogram. P is any point on CD. If $ar\left(△DPA\right)=15c{m}^2$ and $ar\left(△APC\right)=20c{m}^2,$ then $ar\left(△APB\right)$ =

Water in a canal, 30 dm wide and 12 dm deep, is flowing with a velocity of 20 km per hour.How much area will it irrigate, if 9 cm of standing water is desired?

Insert 16 rational numbers between 2.1 and 2.2.

The largest sphere is carved out of a cube of side 10.5 cm. Find the volume of the sphere.

Find the area of blades of the magnetic compass shown in figure. (Take $\sqrt{11}=3.32)$

Each side of a rhombus is $10cm$ long and one of its diagonals measures $16cm.$ Find the length of the other diagonal and hence find the area of the rhombus.