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Solve for $x:lo{g}_{10}x=-2$

In triangle PQR,ST is a line intersecting PQ and PR in S and T respectively such that ST ||QR. If PS=x, SQ=2,PT=x+3,TR=x-3.What is the value of x?

S1: AM = $\frac{AP}{2}$, BN= $\frac{BP}{2}$

S2: OO' = AM + BN

Which of the above statements are true ?

The below bar graph shows the number of each kind of item Deepti recycled last week.

How many more steel cans than aluminium cans did Deepti recycle?

A cubic polynomial whose zeroes are α, β and γ such that α + β + γ = 4, αβ + βγ + γα = 1 and αβγ = – 6 can be

How many spheres 12 cm in diameter can be made from a metallic cylinder of diameter 8 cm and height 90 cm?

Question 41

Fill in the blanks to make the statements true.

$\sqrt{1.96}=$ ___

Mrs. Rita deposits ₹1600 every month in recurring deposit account at 9% p.a. simple interest. She receives ₹65,592 at the time of maturity. What is the total time for which the account was held?

a^{​​​​​​7}​+ab^{​​​​​6} solve with explation

Define a trial.

Question 57

In a histogram, class intervals and frequencies are taken along ___ axis and ___ axis.

A part of the circumference of a circle is called a/an ___

Given that

Triangle 1: 3 cm, 3 cm, 4 cm

Triangle 2: 6 cm, 6 cm, 8 cm

Triangle 3: 12 cm, 12 cm, 16 cm

Triangle 4: 24 cm, 24 cm, 32 cm

Find the scale factor used to enlarge Triangle 1 to get Triangle 2, Triangle 3, and Triangle 4.

$\frac{4+\sqrt{5}}{4-\sqrt{5}}+\frac{4-\sqrt{5}}{4+\sqrt{5}}=$ ___

The distance between points $A(10,-8)$ and $B(-6,4)$ is:



[1 mark]

The curved surface area of a cone is 4070 $c{m}^2$ and its diameter is 70 cm.What is the slant height ?(Use $\pi =\frac{22}{7}$).

Which of the following equations has a solution of x = 3?

$\text{If the surface area of a sphere is}\left(144\pi \right)m^2\text{then its volume is}\left(a\right)\left(288\pi \right)m^3\left(b\right)\left(188\pi \right)m^3\left(c\right)\left(300\pi \right)m^3\left(d\right)\left(316\pi \right)m^3$

The exterior angle of a triangle is equal to ___________.

In the given figure $\angle$ AOC=${130}^{\circ }$, The value of $\angle$ ABC (in degrees) is _______.

Ranjeet travels $\frac{45}{2}$ km to his hometown. If he takes a bus for $\frac{22}{5}$ km and a train for the remaining journey, what distance (in decimals) did he travel by train?

There are 50 students in a class, of which 40 are boys. The average weight of the class is 44 kg and that of girls is 40 kg. Find the average weight of the boys.

Let $AC$ be an arc of a circle considered in clock wise direction, subtending a right angle at the centre $O.$ The point $B$ divides the arc $AC$ in ratio $1:2$ If $\overrightarrow{OA}=\overrightarrow{a}$ and $\overrightarrow{OB}=\overrightarrow{b},$ then vector $\overrightarrow{OC}$ is equal to

In the given figure, ∠ABC = 69°, ∠ACB = 31°, find ∠BDC.

If side BC of a triangle ABC is extended to D and $\angle ACD={120}^{\circ }$, then $\angle A+\angle B=$ .

What is the circumference of a circle with radius r and diameter d?

If $a{x}^n$ is a zero degree polynomial in $x$, Which of the following is correct?