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Ask QuestionPosted by Damini Damini 3 years, 9 months ago
- 1 answers
Posted by Neshok Ls 3 years, 9 months ago
- 3 answers
Simran Nehiniwal 3 years, 9 months ago
Simran Nehiniwal 3 years, 9 months ago
Gaurav Seth 3 years, 9 months 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
Posted by Neshok Ls 3 years, 9 months ago
- 1 answers
Gaurav Seth 3 years, 9 months 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.
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
Posted by Neshok Ls 3 years, 9 months ago
- 1 answers
Meenkashi Singh 3 years, 9 months ago
Posted by Neshok Ls 3 years, 9 months ago
- 1 answers
Gaurav Seth 3 years, 9 months ago
Given,
Diameter = d = 84cm
Radius = r = d/2 = 42cm
Length = l = 120 cm
T.S.A of cylinder = 2πrh
= 2 x 22/7 x 42 x 120
= 31680 cm²
Area levelled by 500 revolution = Area of playground
= 500 x 31680cm²
= 15840000 cm² [ change into m]
= 1584 m²
Posted by Neshok Ls 3 years, 9 months ago
- 1 answers
Gaurav Seth 3 years, 9 months ago
Ans. For an equilateral triangle with side ‘a’, area
∴ Each side of the triangle = a cm
∴ a + a + a = 180 cm
⇒ 3a = 180 cm
Now, s = Semi–perimeter 
∴ Area of a triangle
∴ Area of the given triangle
Thus, the area of the given triangle
Posted by Neshok Ls 3 years, 9 months ago
- 0 answers
Posted by Neshok Ls 3 years, 9 months ago
- 1 answers
Gaurav Seth 3 years, 9 months ago
Answer:
- Area of triangle = 12 cm²
Step-by-step explanation:
Given:
- Two equal sides of isosceles triangle = 5 cm
- Third side = 8 cm.
To Find:
- Area of isosceles triangle by Heron's Formula.
Posted by Neshok Ls 3 years, 9 months ago
- 1 answers
Gaurav Seth 3 years, 9 months ago
Answer:
50.28 or 352/7
Step-by-step explanation:
Given,
Slant height = 5 cm
Radius = 4 cm
Let Height be x cm
So for finding height we have to use Pythagorean Theorem,
(5)² = (4)² + (x)²
√25 -16 = x
√9 = x
so, x = 3
Height = 3 cm
Volume of Cone = 1/3πr²h
= 1/3×22/7×4×4×3
= (22×16)/7
= 352/7
If you make this fraction in decimal form answer is
50.28
Posted by Neshok Ls 3 years, 9 months ago
- 1 answers
Gaurav Seth 3 years, 9 months ago
Given: In quadrilateral ACBD, AC = AD and AB bisects ∠A.
To Prove: ∆ABC ≅ ∆ABD.
Proof: In ∆ABC and ∆ABD,
AC = AD | Given
AB = AB | Common
∠CAB = ∠DAB
| ∵ AB bisects ∠A
∴ ∠ABC ≅ ∠ABD | SAS Rule
∴ BC = BD | C.P.C.T,
Posted by Neshok Ls 3 years, 9 months ago
- 1 answers
Gaurav Seth 3 years, 9 months ago
The surface area of a sphere of radius r is 4πr 2
. Half of this is 2πr 2
.
If you have a hemispherical object then it has a base which is a circle of radius r.
The area of a circle of radius r is πr 2
and thus if the hemisphere is meant to include the base then the surface area is 2πr 2 +πr 2
=3πr 2
Posted by Neshok Ls 3 years, 9 months ago
- 1 answers
Gaurav Seth 3 years, 9 months ago
(d) 50°, 50°
Given, QPR is 80 degrees
and PQ=PR
let the other two angles be x,x because it is an isosceles triangle
by triangle sum property
80+x+x=180
2x+80=180
2x=100
x=50
therefore angle R and angle Q are 50 degrees
Posted by Neshok Ls 3 years, 9 months ago
- 1 answers
Gaurav Seth 3 years, 9 months ago
We know, The interior angles of a triangle always add up to 180.
So, statement A, B and C is not correct.
(C) An exterior angle of a triangle is always greater than the opposite interior angles.
is correct
Answer (C) An exterior angle of a triangle is always greater than the opposite interior angles.
Posted by Neshok Ls 3 years, 9 months ago
- 1 answers
Gaurav Seth 3 years, 9 months ago
The angle subtended by the diameter of a semicircle is 90o
To prove : ∠APB=90o
∵ We know angle subtended by an arc at centre is double the angle subtended at any point or circumference.
⇒ Angle subtended by arc AB at O= Double the angle subtended at P
⇒∠AOB=2∠APB
∵AOB is a straight line.
⇒∠AOB=1800
⇒2∠APB=180o
⇒∠APB=90o
∴ Angle subtended by arc AB or semi circle is 90o
<section> </section>Posted by Neshok Ls 3 years, 9 months ago
- 1 answers
Posted by Neshok Ls 3 years, 9 months ago
- 1 answers
Gaurav Seth 3 years, 9 months ago
Given:
- The sides of the triangle are 8cm,11cm and 13cm.
Need to find:
- Area of the triangle
a = 8cm
b = 11cm
c = 13cm
Perimeter of the ∆ = a+b+c
Semi-perimeter = a+b+c/2
Area of ∆
Posted by Muddassir Faiz 3 years, 9 months ago
- 1 answers
Yogita Ingle 3 years, 9 months ago
9(x+7)-6=9-2(x+9)
9x + 63 = 9 -2x - 18
9x + 2x = 9 - 18 - 63
7x = -9-63
7x = - 72
x = -72/7
x = - 10.28
Posted by Minku Rani 3 years, 9 months ago
- 2 answers
Posted by Prakhar Parashar 3 years, 9 months ago
- 1 answers
Gaurav Seth 3 years, 9 months ago
Given - x²+6x+10
Find - To show the equation has no zero.
Answer - The discriminant is used to check the expression has one solution or does not have solutions.
If the answer is zero, then equation will have one solution. If the answer is negative, then equation will have two imaginery numbers as solutions.
The discriminant is - b²-4ac.
Keeping the values in equation - =6²-4*1*10
=36-40
=-4.
The solution is negative, which is not zero. Hence, it will have two imaginery numbers.
Posted by Vivek Rana 3 years, 9 months ago
- 4 answers
Posted by Warish Saifi 3 years, 9 months ago
- 1 answers
Gaurav Seth 3 years, 9 months ago
In order to answer this question, let us analyse the given data
It says that the depth = 3 metres
width = 40 metres
and the rate of flow = 2 km per hour( converting this into metre per second, we get rate of flow = 2*(1000/3600)=2*(5/18)= 0.55 metre per second)
now we know that volume = length *width*height
similarly, volumetric rate of flow = length*width*rate of flow
which leaves us at v=3*40*0.55= 66.67 metre cube per second.
so the amount of flow per minute would be given by
66.67*60 = 4000 metre cube per minute
Posted by Shravya B L 3 years, 9 months ago
- 1 answers
Chaitanya Goravar 3 years, 9 months ago
Posted by Kshitiz Jain 3 years, 9 months ago
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Posted by Adarsh Dubey 3 years, 9 months ago
- 3 answers
Meenkashi Singh 3 years, 9 months ago
Posted by Adarsh Dubey 3 years, 9 months ago
- 2 answers
Meenkashi Singh 3 years, 9 months ago
Posted by Adarsh Dubey 3 years, 9 months ago
- 2 answers
Meenkashi Singh 3 years, 9 months ago
Gaurav Seth 3 years, 9 months ago
Let each side of an equilateral be x.
Then, perimeter of an equilateral triangle = 60 m
x + x + x = 60 ⇒ 3x = 60 ⇒ x = 60/3 = 20 m
Area of an equilateral triangle = √3/4 (Side)2 = (√3/4) x 20 x 20 = 100 √3 m2
Thus, the area of triangle is 100√3 m2.
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Meenkashi Singh 3 years, 9 months ago
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