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  • 1 answers

Sia ? 6 years, 6 months ago

Given the diameter = 10 m
So, the radius of the well = 5 m
Height of the well = 14 m
Width of the embankment = 5m
Therefore, radius of the embankment = 5 + 5 =10 m
Let h' be the height of the embankment,
Hence, the volume of the embankment = Volume of the well
That is, {tex}\pi{/tex}(R - r)2h' = {tex}\pi r ^ { 2 } h{/tex}
{tex}\Rightarrow{/tex} (102 - 52{tex}\times{/tex} h' = 52 {tex}\times{/tex} 14
{tex}\Rightarrow{/tex} (100 - 25) {tex}\times{/tex} h' = 25 {tex}\times{/tex} 14
{tex}\Rightarrow h' = \frac { 25 \times 14 } { 75 } = \frac { 14 } { 3 }{/tex}
Therefore, h' = 4.67 cm approximately.

  • 1 answers

Sia ? 6 years, 6 months ago

Suppose r be the common radius of a cylinder, cone and a sphere.
height of the cylinder = Height of the cone = Height of the sphere {tex}= 2r{/tex}
Let 'l’ be the slant height of the cone. Then
{tex}l ={/tex} {tex}\sqrt{r^2 + h^2}{/tex}{tex}\sqrt{r^2 + (2r)^2}{/tex} = {tex}\sqrt{5}{/tex}r
{tex}S_1 ={/tex} Curved surface area of cylinder {tex}= 2\pi rh{/tex}
{tex}= 2\pi r . 2r = 4\pi r^2{/tex}
{tex}S_2 ={/tex} Curved surface area of cone = {tex}\pi{/tex}{tex}rl ={/tex} {tex}\pi{/tex}r{tex}\sqrt{5}{/tex}{tex}r = {/tex}{tex}\sqrt{5}{/tex}{tex}\pi{/tex}{tex}r^2 {/tex}
{tex}S_3={/tex} Curved surface area of sphere {tex}= 4\pi r^2{/tex}
{tex}S_1 : S_2 : S_3 = 4\pi r^2 :\sqrt5\pi r^2 : 4\pi r^2{/tex}
{tex}\therefore{/tex}{tex}S_1 : S_2 : S_3 = 4 :\sqrt5  : 4{/tex}

  • 0 answers
  • 2 answers

Sia ? 6 years, 6 months ago

It is given that ,
x + 1/x = 7
We know the algebraic identity,
a³ + b³ + 3ab ( a + b ) = ( a + b )³
or
a³ + b³ = ( a + b )³ - 3ab( a + b )
x³ + 1/x³ = (x + 1/x )³- 3 × x ×1/x(x + 1/x )
= ( x + 1/x )³ - 3( x + 1/x )
= 7³ - 3 × 7
= 7( 7² - 3 )
= 7 ( 49 - 3 )
= 7 × 46
= 322

V Siva 6 years, 6 months ago

The*
  • 3 answers

Shveta S 6 years, 6 months ago

3x+2x=0 5x=0 x=0/5 x=0

Yogita Ingle 6 years, 6 months ago

3x + 2x = 0
5x = 0
x = 0/5
x = 0

Sia ? 6 years, 6 months ago

5x = 0
x = 0
  • 1 answers

Sia ? 6 years, 6 months ago

{tex}\Rightarrow x ^ { 2 } + 3 \sqrt { 2 } x + 4{/tex}
{tex}\Rightarrow x ^ { 2 } + 2 \sqrt { 2 } x + \sqrt { 2 } x + 4{/tex}
{tex}= x ( x + 2 \sqrt { 2 } ) + \sqrt { 2 } ( x + 2 \sqrt { 2 } ){/tex}
{tex}\Rightarrow ( x + 2 \sqrt { 2 } ) \quad ( x + \sqrt { 2 } ){/tex}
{tex}\{ x = - 2 \sqrt { 2 } , - \sqrt { 2 } \}{/tex}

  • 2 answers

Yogita Ingle 6 years, 6 months ago

Sides Of a Triangular Field are 50 cm , 45 cm, 35 cm

Let, First Side = a
Second Side = b
Third Side = c

We know that , Semi-perimeter = a+b+c/2

 ⇒  s =  50+45+35/2

 ⇒ = 50+80/2

 ⇒ = 130/2

 ⇒  = 65

Hence semi-perimeter is 65

Using Heron's Formula

Area = √s(s-a)(s-b)(s-c)

 ⇒ =  √65(65-50)(65-45)(65-35)

 ⇒  = √65(15)(20)(30)

 ⇒ = √ 585000

 ⇒  area =  764.85 cm²

Now, we have to find
Required number of flower beds that can be prepared if each bed measures 5m²


=> 764.85m² /5m²

 

Sia ? 6 years, 6 months ago

To find out the Area of a scalene triangle whose three sides are given, first find out the half perimeter
s = (a+b+c)/2
where a, b, and c are the length of the three sides of a triangle
s = (35 + 45 + 50) / 2
   = 130 / 2 
   = 65 cm
Area of scalene triangle is given by 
A = sqrt (s (s - a) (s - b) (s - c))
    = sqrt (65 * (65 - 35) ( 65 - 45) (65 - 50))
    = sqrt (65 * 30 * 20 * 15)
    = sqrt (585000)
    = 764.853 sq cm
  • 0 answers
  • 1 answers

Sia ? 6 years, 6 months ago

6x2 + 17x + 5
= 6x2 + 2x + 15x + 5
= 2x(3x + 1) + 5(3x + 1)
= (3x + 1)(2x + 5)

  • 1 answers

Sia ? 6 years, 6 months ago

16
  • 2 answers

Shikhar Mishra 6 years, 6 months ago

12√6

Sia ? 6 years, 6 months ago

12{tex}\sqrt 6{/tex}

  • 3 answers

Surya.. Jatt??? 6 years, 6 months ago

Diagonl bisect at 90

Surya.. Jatt??? 6 years, 6 months ago

Diagonals are equal

Tanmaya Chita Padhi 6 years, 6 months ago

Square is a quadrilateral in which all sides are same
  • 4 answers

Tanmaya Chita Padhi 6 years, 6 months ago

1

Alishka 02 6 years, 6 months ago

1

Alishka 02 6 years, 6 months ago

0

Rudrani Kumari 6 years, 6 months ago

1
  • 2 answers

Suraj Sharma 6 years, 6 months ago

How

Maya Choudhary 6 years, 6 months ago

0
  • 1 answers

Prem Kumar Mandal 6 years, 6 months ago

K(12Y^2+8Y-20) 4K(3Y^2+2Y-5) 4K(《Y-1》《3Y+5》)
  • 3 answers

Soni Jain 6 years, 6 months ago

2(8+9)-5(8+9) 16+18-40-45 34-85 -51

Jayant Narang 6 years, 6 months ago

2(8+9)-5(8+9) 16+18-40-45 34-45 -11

Anubhav Tyagi 6 years, 6 months ago

Gscsyzcsj j
  • 0 answers
  • 1 answers

Shivay Bishee 6 years, 6 months ago

98.68
  • 1 answers

Yogita Ingle 6 years, 6 months ago

√3 = 1.73205....
√7 = 2.64575....
Therefore, 2 rational no. between √3 & √7 are;

  1. 2.01
  2. 2.1212121212121212....

 

  • 2 answers

Yogita Ingle 6 years, 6 months ago

Total no. of outcomes; n(s) = 6=  [1, 2, 3, 4, 5, 6]
No. Of favourable outcomes; n(e) = 2 =  [3, 6]
P(getting a multiple of 3) = n(e)/ n(s)
= 2/6 = 1/3

Anmol Kumar Jha 6 years, 6 months ago

1/2

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