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Meghna Thapar 4 years ago

Heron's Formula -- An algebraic proof

where b is the length of a base and h is the height to that base. There is at least one side of our triangle for which the altitude lies "inside" the triangle. For convenience make that the side of length c. It will not make any difference, just simpler. Heron's formula computes the area of a triangle given the length of each side. If you have a very thin triangle, one where two of the sides approximately equal s and the third side is much shorter, a direct implementation Heron's formula may not be accurate.

  • 1 answers

Gaurav Seth 4 years ago

 

The curved surface area of a cylinder is 1210cm square and its diameter is 20 cm . Find its height and volume

 

  • 2 answers

Asmi Hingole 4 years ago

9/2

T S 4 years ago

9/2
  • 2 answers

Gaurav Seth 4 years ago

(i)  Given:

Diameter of the spherical ball (d)= 28 cm


Radius =d/2=  28/2 cm = 14 cm


Amount of water displaced by a solid  spherical ball = Volume of spherical ball = 4/3πr³


= (4/3 × 22/7 × 14 × 14 × 14)
= 34496/3 = 11498.67 cm³

 

Amount of water displaced by a solid spherical ball= 11498.67 cm³

 

 

(ii)  Diameter of the spherical ball (d)= 0.21 m
Radius (r) = d/2= 0.21/2 m = 0.105 m


Amount of water displaced by a solid spherical ball = Volume of spherical ball= 4/3πr³
 

=(4/3×22/7×0.105×0.105×0.105)


= 0.004851 m³

 

Amount of water displaced by a solid spherical ball =0.004851 m³

Bharat Kumar 4 years ago

3+4
  • 1 answers

Yogita Ingle 4 years ago

Given, side of an equilateral triangle is 4√3 cm.
Area of an equilateral triangle = √3/4 (Side)2
= √3/4 (4√3)= (√3/4) x 16 x 3
= 3√3 x 4 = 12 x 1.732 = 20.784 cm2
Hence, the area of an equilateral triangle is 20.784 cm2.

  • 5 answers

Satyam Kumar 4 years ago

5(2)^2-3(2)+7 =20-6+7. =14+7 =21
21 is the answer
21 is the answer bro
21

Bhumika Mittal 4 years ago

5(2)^2 - 3 (2) + 7 20-6 +7 21.
  • 1 answers

Gaurav Seth 3 years, 11 months ago

Diameter of Copper Sphere = 18 cm

Radius = 9 cm                                                          [Radius = Diameter / 2]

Length of cylindrical wire = 108 m or 10800 cm   [ 1 m = 100 cm]

Let radius of cylindrical wire be R

Since wire is made by melting the sphere

∴ Volume of Cylindrical wire = Volume of Copper Sphere

[Volume of Cylinder = π × Radius² × height and

Volume of Sphere = (4/3)×π×Radius³]

∴ π × R² × 10800 = (4/3) × π × (9)³

Dividing both sides by π

R² × 10800 = (4/3) × (9)³

Taking Square Root of both sides

R = 0.30 cm

Radius of wire = 0.3 cm or 3 mm

[∵ Diameter = 2×Radius]

∴Diameter of wire = 0.6 cm or 6 mm  

  • 2 answers

Satyam Kumar 4 years ago

Factorise a^2+a+1/4-a-1/2

Gaurav Seth 4 years ago

bac = y as they are corresponding angles since ac is parallel to de
then,
cda=90 (as my assumption) cdg+y+25=90
 
cdg+20+25=90; cdg=45
cdg+20 i mean 45 +20 =65=acd (alternate angles)
 
x+acd=180 (linear pair)
x+65=180
x=115

  • 1 answers

Gaurav Seth 4 years ago

Draw the graph of the equation represented by the straight line which is parallel to the x-axis and is 4 units above it. Solution : Any straight line parallel to x-axis is given by y = k, where k is the distance of the line from the x-axis. Here k = 4. Therefore, the equation of the line is y = 4. To draw the graph of this equation, plot the points (1, 4) and (2, 4) and join them. This is the required graph

Click the given link:

<a href="https://ncert.nic.in/ncerts/l/ieep204.pdf" ping="/url?sa=t&source=web&rct=j&url=https://ncert.nic.in/ncerts/l/ieep204.pdf&ved=2ahUKEwjniObt45XsAhWTj-YKHQ-zAuwQFjAZegQICxAC" rel="noopener" target="_blank">linear equations in two variables - ncert</a>

Go to page no. 38 

and see Sample Question 4 

  • 2 answers
24

Gaurav Seth 4 years ago

The length and breadth of a cuboid are in the ratio 4 : 5. The height and total surface area
of a cuboid are 18 and ( 3384 cm square ) respectively.
Find it's length and breadth.

Answer:

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  • 1 answers

Gaurav Seth 3 years, 11 months ago

Here,

1 metric ton = 1000 kg

So, 90 metric ton = 90×103 kg

m = 9×104 kg

h = 200 m

g = 9.8 ms-2

Time taken = 1 hr = 3600 s

The potential energy of a mass m raised to a height h = mgh

Now to raise a mass 9×104 kg to a height 200 m we must do work equal to the potential energy of the mass at 200 m.

Potential energy of mass at 200 m = mgh= 9×104×9.8×200 Joule

So, work done must be = 9×104×9.8×200 Joule

Again we know power P = work done / time taken

P = 9×104×9.8×200/3600 = 49000 watt. or 49 kW

  • 1 answers

Gaurav Seth 4 years ago

(5a+3b)³ - (5a-3b)³

= (5a)³+3*(5a)²*3b+3*5a*(3b)²+(3b)³- [(5a)³-3*(5a)²*3b+3*5a*(3b)²-(3b)³]
=(5a)³+3*(5a)²*3b+3*5a*(3b)²+(3b)³-(5a)³+3*(5a)²*3b-3*5a*(3b)²+(3b)³
=2*3*(5a)²*3b+2*(3b)³
=450a²b+54b³
 

  • 0 answers
  • 2 answers
14cm answer

Gaurav Seth 4 years ago

Radius of circle = 50/2 = 25 cm

 

perpendicular distance = 24 cm

 

 

 

Therefore, By Pythagoras theorem:

 

Hypotenuse² = Base² + Perpendicular ²

 

25² = Base² + 24²

 

Base² = 625 - 576

 

Base² = 49

 

Base = 7

 

 

Chord = 2 × Base

 

Chord = 2 × 7

 

Answer: 14 cm

  • 1 answers

Tamanna Yadav 4 years ago

(3,4):first quadrant (4,-5):forth quadrant (-6,-5): third quadrant Hope it is clear
  • 2 answers
gee thanks

Devashish Kumar 4 years ago

Formula for the probability of A and B (independent events): p(A and B) = p(A) * p(B). If the probability of one event doesn't affect the other, you have an independent event. All you do is multiply the probability of one by the probability of another.

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