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The sides of a triangle are in the ratio $1:2:2$ and its perimeter is $500\text{m}$. Then, area of the triangle is:

Exapanded form of 0.108 is _____.

In the given figure, the sIde of the square is 28 cm, and radius of each circle is half of the length of the side of the square. O and O' are centres of the circles. Find the total area of the region shaded in green and yellow.

$\frac{2\sqrt{3}}{\sqrt{7}}=$ ___

Figure shows that AD and BF are medians of ∆ABC and BF || DE then CE is equal to

If $\Delta DEF\cong \Delta BCA$ , then the angle of $\Delta BCA$ that corresponds to $\angle E$ is _______ and side $FD$ corresponds to side ________.

If CE is parallel to DB in the given figure, then the value of ‘x’ will be:

Think and Learn Pvt. Ltd. management has decided to build a basketball court for their employees. The court plan is as shown in the figure.

Can you identify how many circles and arcs are there in the plan?

One angle of a parallelogram is twice its adjacent angle. Find the measure of all the 4 angles of the parallelogram.

A roller has a diameter of 1.4 m. Find:

(i) Its circumference

(ii) The number of revolutions it makes while travelling 61.6 m.

The mean of 5 observations is 12. If the mean of the first 3 observations is 10, then find the mean of the other two.

What is the value of the expression $\frac{a^m}{a^n}$ ?

State the condition for the congruency of two figures.

A chord of a circle AB is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc in degree.

In the given figure, if MN $\parallel$ PQ, then find the value of $x$.

In a parallelogram, one angle is $\frac{4}{5}$th of the adjacent angle. The adjacent angles of the parallelogram are:

In how many points two distinct planes can intersect?

One angle of a parallelogram is twice the adjacent angle. Form the linear equations in two variables and find the measures of angles of the parallelogram.

Find the median of the following cumulative frequency distribution:
$\begin{array}{ccc}x& frequency& Cumulativefrequency\\ 22& 1& 1\\ 34& 2& 3\\ 39& 2& 5\\ 45& 8& 13\\ 54& 8& 21\\ 56& 9& 30\\ 68& 4& 34\\ 78& 4& 38\\ 84& 2& 40\end{array}$

A quadrilateral ABCD has all its angles of the same measure. What is the measure of each angle?

Two different dice are rolled simultaneously. find the probability that the sum of the numbers on the two dice is 10.

Find the cost of sinking a tubewell 280 m deep, having diameter 3 m at the rate of Rs. 3.60 per cubic metre. Find also the cost of cementing its inner curved surface at Rs. 2.50 per square metre.

Factorise
$216x^3+\frac{1}{125}$

The mean of the following data is 8.
$\begin{array}{ccccccc}x& 3& 5& 7& 9& 11& 13\\ y& 6& 8& 15& p& 8& 4\end{array}$
then, the value of p is
(a) 23
(b) 24
(c) 25
(d) 21

ABCD is a parallelogram whose diagonals AC and BD intersect at O.A line through O intersects AB at P and DC at Q. Prove that $ar\left(△POA\right)=ar\left(△QOC\right).$

If the height and slant height of a cone are $21cm$ and $28cm$ respectively. Find its volume.

PQRS is a trapezium having PS and QR as parallel sides. A is any point on PQ and B is a point on SR such that AB || QR. If area of $△PBQ$ is 17 cm^2, Find the ara of $△ASR.$

The system of representing points on a plane using two numbers is called as ___ system.

You plant 30 African violet seeds and 9 of them sprout. What is the probability that a seed will not sprout?

Fill in the blanks with < or >.

(a) (Sum of any two sides of a triangle)___(the third side).

(b) (Difference of any two sides of a triangle)___(the third side).

(c) (Sum of three altitudes of a triangle)___(sum of its three sides).

(d) (Sum of any two sides of a triangle)___(twice the median to the 3rd side).

(e) (Perimeter of a triangle)___(sum of its three medians).

In a $\Delta ABC,\text{it is given that}AB=AC\text{and the bisectors of}\angle Band\angle C\text{intersect at O. If M is a point on BO produced, prove that}\angle MOC=\angle ABC.$

$IfMisthemeanof{x}_1,x_2,x_3,x_4,x_{5}and{x}_6,provethat(x_1-M)+(x_2-M)+(x_3-M)+(x_4-M)+(x_5-M)+(x_6-M)=0$

If $\sqrt{2}=1.4$ then $\sqrt{50}-\sqrt{18}$ is ___

In the below-given figure identify interior angles

Solve x + y = 10 ;x - y = 2, by the method of substitution.

Q62. Abhishek is fifteenth from the front in a column of boys. There are thrice as many behind him as there are in front. How many boys are there between Abhishek and the seventh boy from the end of the column?

Simpify : √5\√12

What is the height of the given parallelogram?

if x + y + z - 3xyz = 1/2 ( x+y+z )( ( x-y )^2 + (y-z)^2 + ( z-x)^2 )

If x = (c* square root of b) + 4 find the value of x + 1/x

The volume of a right circular cylinder is $1100c{m}^3$ and the radius of its base is $5cm$. find its curved surface area.

What is the coefficient of $x^3$ in (x-3)$(x+2{)}^2$ ?

How to balancing the equation