CBSE > Class 10 > Mathematics | CBSE Board | Homework Help

Given, $3x -$ $\frac{y+7}{11}$ $+ 2 = 10$
$\Rightarrow \frac{33 x-(y+7)+22}{11}=10$
$\Rightarrow$ $33x - y - 7 + 22 = 110$
$\Rightarrow$ $33x - y = 95$ ..(i)
Also, $2 y+\frac{x+11}{7}$ = 10
$\Rightarrow \quad \frac{14 y+x+11}{7}$ = 10
$\Rightarrow$ $14y + x + 11 = 70$
$14y + x = 59$
$14y = 59 - x$

$\Rightarrow$ y = $\frac{59-x}{14}$
eq. (i) becomes
33x - $\left(\frac{59-x}{14}\right)$ = 95
$\Rightarrow \quad \frac{462 x-59+x}{14}$ = 95
$\Rightarrow$ 463x - 59 = 1330
$\Rightarrow$ x = 3
When x = 3 eq. (i) becomes
33(3) - y = 95
$\Rightarrow$ y =4

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A train travels 360 km at a uniform speed. If the speed had been 5 km more, it would have taken 1 hour less for the same journey. The speed of the train is ?

Posted by Aaryan Gandhi 2 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Princy Puri 2 years, 3 months ago

The speed of the train is x=45 or x=-45 or we choose+45 because speed can't be negative

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If usual speed of a passenger train is increased by 5 km/h then, it takes 2 hour less in covering the distance of 300 km. Its usual speed is ?

Posted by Aaryan Gandhi 2 years, 3 months ago

CBSE > Class 10 > Mathematics

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Princy Puri 2 years, 3 months ago

The usual speed of the train is 30 km/h

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In🔼ABC and 🔼DEF, it is given that AD/DE = BC/FD then

Posted by Bhavani Durga 2 years, 3 months ago

CBSE > Class 10 > Mathematics

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Preetham Gowda 2 years, 3 months ago

❤️

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Ⓚⓐⓥⓨⓐ 🦋 2 years, 3 months ago

AB/DE = BC/FD Angle formed by AB and BC is ∠B. Angle formed by DE and FD is ∠D. So, ∠B = ∠D ∴ ΔABC ~ ΔEDF [[By SAS similarity criterion]] Therefore, the given triangles will be similar when ∠B = ∠D.✨✨ INSTAGRAM ID:----Kavyasingh66797✨✨

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Jagdish Shukla 2 years, 3 months ago

Angle

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Atul Kumar 2 years, 3 months ago

Circle

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Atul Kumar 2 years, 3 months ago

Chnk

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If sec A = 15/7 and A + B = 90°, find the value of cosec B.

Posted by Kumar ... 2 years, 3 months ago

CBSE > Class 10 > Mathematics

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Preeti Dabral 2 years, 3 months ago

sec A $= \frac { 15 } { 7 }$
$\Rightarrow$ sec(90° - B) $= \frac { 15 } { 7 }$ [ $\because$ A + B = 90° $\Rightarrow$ A = 90° - B]
$\Rightarrow$ cosec B $= \frac { 15 } { 7 }$ [ $\because$ sec (90° - $\theta$ ) = cosec $\theta$ )

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1 * 1/(sec(A) - 1) + 1/(sec(A) + 1) + 1/(sec(A) + 1) = 2cos ecA * cot A cos A sin A = sin A + cos A 33.

Posted by Sanidhya Pandey 2 years, 3 months ago

CBSE > Class 10 > Mathematics

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What is parabolas? Ch 2

Posted by Shrey Jaiswal 2 years, 3 months ago

CBSE > Class 10 > Mathematics

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Preeti Dabral 2 years, 3 months ago

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix. Parabola is an integral part of conic section topic and all its concepts parabola are covered here.

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The 2 digit number which becomes 6 5 th of itself when its digits are reversed. The difference in the digits of the number being 1, then the two digits number is (a) 45 (b) 54 (c) 36 (d) None of these

Posted by Yadav Aditya 2 years, 3 months ago

CBSE > Class 10 > Mathematics

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Important sum from chapter 1

Posted by Sankaran Karan 2 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Dhwani Panchal 2 years, 3 months ago

Prove irrational type questions are important

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Nancy Rana 2 years, 3 months ago

Prove √3 √2 √5 are irrational nd other are very important it consists 3 marks question

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A heap of is in the form of a cone of base diameter 24m and height 3.5 m . Find the surface area of the rice

Posted by Abi Venu 2 years, 3 months ago

CBSE > Class 10 > Mathematics

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If sum of the sequence 1,6,11,16,....,x is 148 , then find the value of x

Posted by Sarika Maurya 2 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Preeti Dabral 2 years, 3 months ago

Given series is

$1+6+11+16+\ldots . .+x=148 Here, a=1, d=6-1=11-6=16-11=5 and \mathrm{S}_{\mathrm{n}}=148 \begin{aligned} & \because \mathrm{S}_{\mathrm{n}}=\frac{\mathrm{n}}{2}[2 \mathrm{a}+(\mathrm{n}-1) \mathrm{d}] \\ & \therefore 148=\frac{\mathrm{n}}{2}[2 \times 1+(\mathrm{n}-1) 5] \\ & \Rightarrow 296=2 \mathrm{n}+5 \mathrm{n}^2-5 \mathrm{n} \\ & \Rightarrow 296=5 \mathrm{n}^2-3 \mathrm{n} \\ & \Rightarrow 5 \mathrm{n}^2-3 \mathrm{n}-296=0 \\ & \Rightarrow(\mathrm{n}-8)(5 \mathrm{n}+37)=0 \\ & \Rightarrow \mathrm{n}=8, \mathrm{n}=\frac{-37}{5} \end{aligned}$

$\begin{aligned} & \therefore \mathrm{n}=8 \\ & (\because \mathrm{n} \text { cannot be negative }) \\ & \text { Now, } \mathrm{T}_{\mathrm{n}}=\mathrm{a}+(\mathrm{n}-1) \mathrm{d} \\ & \mathrm{x}=1+(8-1) \times 5 \\ & \Rightarrow \mathrm{x}=1+35 \Rightarrow \mathrm{x}=36 . \end{aligned}$

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Three cubes each of sides 5 cm are joined end to end. Find the surface area of the resulting cuboid.

Posted by Sarika Maurya 2 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Preeti Dabral 2 years, 3 months ago

The dimensions of the cuboid so formed are as under:

l= length=15cm,b= breadth=5cm, h= height =5cm

Surface area of the cuboid =2(15×5+5×5+15×5)cm²

=2(75+25+75)cm2=350cm²

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From a solid cylinder whose height is 16 cm, a conical cavity of height 8 cm is hollowed out. Find the volume and total surface area of the remaining solid.

Posted by Sarika Maurya 2 years, 3 months ago

CBSE > Class 10 > Mathematics

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Chapter 14 exercise 14.1 questions no 4

Posted by Shrijan Dvivedi 2 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Gayatri Pathade 2 years, 2 months ago

Sum fixi = ------------- Sum fi 2277 = ------- =75.9 30

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Which term of Ap 92,88,84,80...is 0

Posted by My Cbse Maths English Guide 2 years, 3 months ago

CBSE > Class 10 > Mathematics

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8+3

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CBSE > Class 10 > Mathematics

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In some buildings especially in industries, the roof is inclined. This inclination of roof is the application of trigonometric functions. Here the roof of industry is inclined at angles a and 5 with horizontal line as shown. Determine the value of sints), if cosec a-2 and cot B-1, where both and pare acute angles

Posted by Abc Svsg 2 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Preeti Dabral 2 years, 3 months ago

value of sin (a+b) is:

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Nhjjj

Posted by Mohit Singh 2 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

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Gyuu

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The angle of elevation of a plane is 2x units above the ground from a point x units above the ground is theta. At this moment, the angle of depression of a point on the ground just below the plane will be

Posted by Harshita Singla 2 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Harshita Singla 2 years, 3 months ago

Theta

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The decimal expansion of 7/8x5 will terminate after

Posted by Saba Akhtar 2 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Sougata Maity 2 years, 3 months ago

0.175

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CotA+cosecA-1/cotA-cosecA+1=1+cosA/sinA

Posted by Shristi Gupta 2 years, 3 months ago

CBSE > Class 10 > Mathematics

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Shristi Gupta 2 years, 3 months ago

1+cosA/sinA

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435045

Posted by Ayan Asif Ahmed 2 years, 3 months ago

CBSE > Class 10 > Mathematics

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What is the maximum value of 1 / cosec theta

Posted by Smit Mahajan 2 years, 3 months ago

CBSE > Class 10 > Mathematics

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Posted by Rdm 😈 2 years, 3 months ago

CBSE > Class 10 > Mathematics

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Aarti Mahato 2 years, 3 months ago

Very Important is to learn formula & read the question carefully and understand it first. Then make a rough diagram of the object. First do ncert then exampler, then sample paper and then any reference book or previous year question papers

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the difference between the radii of the smaller circle and the largest circle is 7 cm and the difference between the areas of two circles is 1278 square cm find the radius of the smaller circle

Posted by Pandit Ji 2 years, 3 months ago

CBSE > Class 10 > Mathematics