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If the sides of a triangle are 5cm, 7cm and 7cm. Find the perimeter of the triangle.

Dertermine the point of the graph of the linear equation 2x+5y=19, whose ordinate is 1x1/2 times the abcissa

The perimeter of a rhombus is 52 CM if one of its diagonal is 24 cm long find the length of the diagonals other one and the area of the Rhombus

If the perimeter of a regular hexagon is 60 cm, Find its area.

In a circle, two parallel chords of lengths 8 cm and 12 cm are 10 cm apart. Then the distance of the shorter chord from the centre is

What is the answer of 'v' ? If 1/v -1/60 =1/20 And how explain step by step

The total surface area of a hemispherical bowl of radius 77 cm is

When f(x)=x^4-2x^3+3x^2-ax+b is divided by x+1 and x-1 we get remainders 19 and 5 respectively .Find the remainder when f(x) is divided by x-3.

If 3 line segments of length 2 cm, 4 cm and 6 cm are taken, then the area of the triangle formed by these line segments is ___.

Use the given figure to prove that, AB = AC.

Find n.

If you are asked to construct $△$APQ $\sim$ $△$ABC with the scale factor $\frac{3}{5}$, which of the following is incorrect?
Given: In $△ABC,AB=4cm$, $BC=3cm$ and $\angle ABC={90}^{\circ }$.
$A_1{A}_2=A_2{A}_3=A_3{A}_4=A_4{A}_5$.​​​​​​

In a right angled triangle if the base is 3 cm and perpendicular is 4 cm.What is the area of that triangle?

The height of a cone is 15 cm.If its volume is 500$\pi c{m}^3$,then find the radius of its base.

Division of a fraction “A” by a whole number “p” is the same as multiplying the fraction with the __ of “p”.

1. Reciprocal

   
   

If a - b = 4 and ab = 21, find the value of $a^3-b^3.$

Match the two columns.
$\begin{array}{cc}Column-I& Column-II\\ \text{(A) Data which is collected for the first time by the statistical}& \text{(p) Secondary data}\\ \text{investigator or with the help of his workers is called}& \\ \text{(B) These are the data already collected by a person or a}& \text{(q) Variable}\\ \text{society and these may be in published form.}& \\ \text{These data should be carefully used.}& \\ \text{(C) When the data is compiled in the same form and order in}& \text{(r) Primary Data}\\ \text{which it is collected, it is known as}& \\ \text{(D) A quantity which can vary from one individual to another is}& \text{(s) Raw Data}\\ \text{called}& \end{array}$
Choose the correct option:

The height of a cylinder is 14 cm and its curved surface area is $264c{m}^2$ .The volume of the cylinder is

$\left(a\right)308c{m}^3\left(b\right)396c{m}^3\left(c\right)1232c{m}^3\left(d\right)1848c{m}^3$

In the adjoining figure, $ABCD$ is a parallelogram. If $P$ and $Q$ are points on $AD$ and $BC$ respectively such that $AP=\frac{1}{3}AD$ and $CQ=\frac{1}{3}BC$, prove that $AQCP$ is a parallelogram.

Which one of following gives the equation of a line parallel to Y-Axis?

Thales belongs to the country

(a) India

(b) Egypt

(c) Greece

(d) Babylonia

In ∆PQR, PR > PQ, PA is the bisector of angle P and PM is perpendicular to QR. Prove that angle APM = 1/2 ( angle Q - angle R).

Given a triangle ABC in which ∠B > ∠C then

The measure of each interior angle of a regular decagon is

A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km/h. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km/h. If the total time of travel is 40 min find the average speed of the man for the whole journey.

If $x=\frac{4\sqrt{6}}{\sqrt{2}+\sqrt{3}}$. Find the value of $\frac{x+2\sqrt{2}}{x-2\sqrt{2}}+\frac{x+2\sqrt{3}}{x-2\sqrt{3}}$, using the properties of proportion.

Find the perimeter of the pentagon ABCDE.

The linear dimensions of a certain cube are three times the dimensions of another cube. The value of the ratio, area of smaller cube : area of larger cube is

Simplify cube root of 2* 4^th root of 3

The length of a string between a kite and a point on the ground is 60$\sqrt{3}$ m. If the string makes an angle of (60^\circ\) with the ground, how high is the kite? (Assume there is no slack in the string).

Question 94

Solve the following:

The sum of four consecutive integers is 266. What are the integers?

If the ratio of mean and median of a certain data 2 : 3, then find the ration of its mode and mean.

$si{n}^2{42}^{\circ }-co{s}^2{78}^{\circ }=\frac{\sqrt{5}+1}{8}$

A heating coil is arranged inside an iron cylinder of base radius 3.5 m and height 6.5 cm. The radiating surface of the cylinder is

(Take pi=$\frac{22}{7}$ )

Consider a square of side 4 units. What is the ratio of the perimeter of the square to its area?

Which of the following statement is incorrect?

In a triangle, P, Q and R are the mid-points of sides BC, CA and AB respectively. If AC = 21 cm, BC = 29 cm and AB = 30cm, find the perimeter of the quadrilateral ARPQ.

In the figure, if AB || CD, then value of x is

In the adjoining figure, ABCD is a trapezium in which AB II DC. If $\angle A={55}^{\circ }and\angle B={70}^{\circ }$, find $\angle C\angle D$.

In the given figure, O is the centre of the circle and $\angle \text{AOB}={70}^{\circ }$.

Calculate the values of (i) $\angle \text{OCA}\left(ii\right)\angle \text{OAC}.$

For what value of x is the mode of the data 24, 15, 90, 23, 27, 26, 22, 25, 20, x + 3 found 25? Using this value of x, find the median.

If $2^a=3^b=6^c$ then

A bag contains 4 white balls and some red balls. If the probability of drawing a white ball from the bag is $\frac{2}{5}$, find the number of red balls in the bag.

AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on opposite sides of the centre and the distance between them is 17 cm, find the radius of the circle.