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  • 1 answers

Riya Sharma💜🤞 5 years, 1 month ago

Answer- Let r cm be the radius of sphere.  Surface area of the sphere = 4πr2  ⇒ 154 = 4πr2  ⇒ 4 x 22/7 x r2 = 154 r2 = 154 x 7/4 x 22 = 72/22    ⇒ r = 7/2 Volume of sphere = 4/3πr3 = 4/3 x 22/7 x 7/2 x 7/2 x 7/2 cm3 = 539/3 cm3 = 179.2/3 cm3
  • 1 answers

Yogita Ingle 5 years, 1 month ago

Total number of trials = 200

(i) P(getting 3 heads) = 

(ii) P(at least two heads) = 

(iii) P(two heads and one tail) = 

  • 1 answers

Omveer Sehrawat 5 years, 1 month ago

(X + 2Y + 4Z)^2 = X^2 + 4Y^2 + 16Z^2 + 4XY +16YZ + 8ZX
  • 4 answers

Kripa Daga 5 years, 1 month ago

It should be 0.09

Omveer Sehrawat 5 years, 1 month ago

(256)^0.16 × (256)^0.9 =(256)^0.25 :. same base ={(4)^4}^1/4 :.4 cancel the power = 4 ans.

Hardik Pandey 5 years, 1 month ago

This is answer of this question

Hardik Pandey 5 years, 1 month ago

52)7.5 x (5)2.5= 5x(53)1.5
  • 3 answers

Kripa Daga 5 years, 1 month ago

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Ibrahim Khalil 5 years, 1 month ago

Phythores therorum attributes phythores that the square on the hypothesis right_angled triangleis equal in area to the sum of the square on the other to sides.

Yogita Ingle 5 years, 1 month ago

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple.

Consider the triangle given above:

Where “a” is the perpendicular side,

“b” is the base,

“c” is the hypotenuse side.

According to the definition, the Pythagoras Theorem formula is given as:

Hypotenuse2 = Perpendicular2 + Base2 

 

c2 = a2 + b2  

  • 2 answers

Dinesh G 5 years, 1 month ago

,ddddd

Gaurav Seth 5 years, 1 month ago

It is given that ,

p = 2 - a -------( 1 )

LHS = a³ + 6ap + p³ - 8

= a³ + 6a( 2 - a ) + ( 2-a )³ - 8 [ from(1)]

= a³ +12a-6a²+2³-3×2²a+3×2a²-a³-8

= a³ + 12a - 6a² + 8 - 12a + 6a²- a³ - 8

= 0

= RHS

Hence proved.

  • 1 answers

Yogita Ingle 5 years, 1 month ago

If we draw one diagonal to quadrilateral we will get two triangles i.e. △ABC and △ACD and we know that sum of the angles of a triangle is 180o
Sum of angles of quadrilateral ABCD=sum of angles of △ABC + sum of the angles △ACD
= 180o+180o
= 360o

  • 5 answers

Arun Kushwah 5 years, 1 month ago

22234 + 3567 = 25,801....

Aditya Kumar 5 years, 1 month ago

25801

Aryan Singh 5 years, 1 month ago

25801

Yogita Ingle 5 years, 1 month ago

22234 + 3567 = 25,801

Shivam Rao 5 years, 1 month ago

Find the surface area of the cone
  • 1 answers

Yogita Ingle 5 years, 1 month ago

Steps of Construction:
1.Draw a line segment PQ = 11 cm.( = AB + BC + CA).
2.At P construct an angle of 60° and at Q, an angle of 45°.
3.Bisect these angles. Let the bisectors of these angles intersect at a point A.
4.Draw perpendicular bisectors DE of AP to intersect PQ at B and FG of AQ to intersect PQ at C.
5.Join AB and AC (see Fig. 11.9). Then, ABC is the required triangle.

  • 1 answers

Yogita Ingle 5 years, 1 month ago

Sin30°=1/2

sin90°=1

cos0°=1

tan30°=1√3

tan60°=√3

now putting these these value on question

so..we find

=1/2-1+2×1/1/√3 ×√3

=1/2-1+2/√3/√3

=1-2+4/2

=3/2

  • 5 answers

P Nagaraju Nagaraju 5 years, 1 month ago

28

Asmi . 5 years, 1 month ago

28?

Kripa Daga 5 years, 1 month ago

28

Yogita Ingle 5 years, 1 month ago

2÷1+24

2×2 +24

= 4 + 24

= 28

Ashmita Das 5 years, 1 month ago

28
  • 2 answers

Ashmita Das 5 years, 1 month ago

A pipe will have two layers as shown in picture. There is a inner Cylinder and Outer Cylinder. Inner Radius = Inner Diameter / 2 = 4 / 2 = 2 cm = r Outer Radius = Outer Diameter / 2 = 4.4/2 = 2.2 cm = R Height of the pipe = 77 cm = h Inner Surface area of the Pipe = 2∏rh = 2×22×2×77/7 = 968 Square cm. Outer Surface area of the pipe = 2∏Rh = 2×22×2.2×77/7 = 1064.8 Square cm. Total Surface area = Inner Surface area + Outer Surface area + 2 × Cross section surface area. The cross section suface area is present at two ends of the pipe. This is the area covered between 2 circles. Total Surface area = Inner Surface area + Outer Surface area + 2 × Cross section surface area. = 968 + 1064.8 + 2×∏(R^2 – r^2) = 2032.8 + 2×22×(2.2×2.2 – 2×2)/7

Yogita Ingle 5 years, 1 month ago

A pipe will have two layers as shown in picture.  

There is a inner Cylinder and Outer Cylinder.

Inner Radius = Inner Diameter / 2 = 4 / 2 = 2 cm = r

Outer Radius = Outer Diameter / 2 = 4.4/2 = 2.2 cm = R

Height of the pipe = 77 cm = h

Inner Surface area of the Pipe = 2∏rh = 2×22×2×77/7 = 968 Square cm.

Outer Surface area of the pipe = 2∏Rh = 2×22×2.2×77/7 = 1064.8 Square cm.

Total Surface area = Inner Surface area + Outer Surface area + 2 × Cross section surface area.  

The cross section suface area is present at two ends of the pipe.  

This is the area covered between 2 circles.  

Total Surface area = Inner Surface area + Outer Surface area + 2 × Cross section surface area.  

= 968 + 1064.8 + 2×∏(R^2 – r^2)

= 2032.8 + 2×22×(2.2×2.2 – 2×2)/7

= 2032.8 + 5.28

= 2038.08 Square cm.

  • 1 answers

Yogita Ingle 5 years, 1 month ago

84-2n-2n²

= 2(42-n-n²) /* Taking 2 common */

= 2( 42 - 7n + 6n - n²) /* splitting the middle term */

= 2[7(6-n)+n(6-n)]

= 2(6-n)(7+n)

Therefore,.

2, (6-n) and (7+n) are factors of given quadratic expression.

  • 2 answers

Kripa Daga 5 years, 1 month ago

a³+b³+c³-3abc=(a+b+c)(a²+b²+c²-ab-bc-ac)

Shalini Kumari 5 years, 1 month ago

Prove a3+b3+c3-3abc=(a+b+c)(a2+b2+c2-ab-bc-ac) It is a special identity of polynomial of class 9.
  • 1 answers

Gaurav Seth 5 years, 1 month ago

Let r be the radius of a vessel.

Given: cost to paint the inner curved surface area= ₹2200

Cost to paint per m²= ₹20 & height of vessel (h)= 10 m

Curved surface area= 2πrh

Inner curved surface area=cost to paint the inner curved surface area/cost of paint per m²

2πrh= 2200/20= 110 m²

2× 22/7×r× 10= 110

 r=(110×7)/(2×220)= 7/4= 1.75m

i)

Inner curved surface area of the vessel= 110 m²

ii)

Radius of the base radius of the base= 1.75 m

iii) capacity of The vessel= volume of the vessel

=πr²h= 22/7×7/4×7/4×10= 96.25 m³

= 96.25× 1000 L= 96.25 kL

[ 1 m= 100cm,  1 m³= 100 cm³

1000 cm³= 1L, 1000L= 1kL]

 capacity of The vessel= 96.25 kL

  • 1 answers

Meenkashi Singh 5 years, 1 month ago

Let the radius of the cone be r cm. h=40 cm Volume,V=18480 cm3 31​×22/7×r2×40=18480 r2=441 r=21 cm
  • 3 answers

Simran Nehiniwal 5 years, 1 month ago

(2) let radius of the base = r Curved surface area = 2πrh 110 m² = 2 × 22/7 × r × 10 110 × 7 / 440 = r 77/44 = r 7/4 = r 1.75 = r

Simran Nehiniwal 5 years, 1 month ago

(1) It's costs Rs 2200 to paint the inner cirved surface of a cylindrical vessel 10 m deep . The cost of painting is at the rate of Rs 20 per m² = Inner cirved surface area = Total costs / rate = 2200/20 = 110 m²

Gaurav Seth 5 years, 1 month ago

Given,
Lateral surface area = 94.2cm²
Height (h) = 5cm
Let the radius of the base be ' r '

We know,
Lateral surface area = 2πrh
94.2 = 2 × 3.14 × r × 5
94.2/ 2×3.14×5 = r
r = 3
Thus,
The radius of base is 3cm

Also,
Volume of the cylinder = πr²h
= 3.14 × 3² × 5 cm
= 3.14 × 9 × 5cm
= 141.3cm³


Thus,
The radius of the base is 3cm and the volume is 141.3cm³

  • 1 answers

Gaurav Seth 5 years, 1 month ago

AB and CD are equal chords of a circle whose centre is O. When produced, these chords meet at E. Prove that  EB = ED and AE = CE.

<hr />

Given: AB and CD are equal chords of a circle whose centre is O. When produced, these chords meet at E.
To Prove: EB = ED and AE = CE.


 

Construction: From O draw OP ⊥ AB and OQ ⊥ CD. Join OE.
Proof: ∵ AB = CD    | Given
∴ OP = OQ
| ∵ Equal chords of a circle are equidistant from the centre
Now in right ∆s OPE and OQE,
Hyp. OE = Hyp. OE    | Common
Side OP = Side OQ    | Proved above



  PE - PB = QE - QD 
     EB  = ED   Proved.
   BE + AB = ED + CD         
   AE = CE

  • 1 answers

Meenkashi Singh 5 years, 1 month ago

We know that the angle subtended at the centre of the circle by an arc is twice the angle subtended by the same arc at any point on the circumference of the circle.    ∠AOB is the angle at the center and ∠ACB is the angle at the circumference.   ∴∠ACB=21​∠AOB=21​(104o)=52o

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