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Ask QuestionPosted by Pavan I 5 years, 2 months ago
- 3 answers
Yogita Ingle 5 years, 2 months ago
The numbers 1,2, 3, are called natural numbers or counting numbers.
Let us add one more number i.e., zero (0), to the collection of natural numbers. Now the numbers are 0,1,2, … These numbers are called whole numbers
We can say that whole nos. consist of zero and the natural numbers. Therefore, except zero all the whole nos. are natural numbers.
Facts of Whole numbers
1) The smallest natural number is 1.
2) The number 0 is the first and the smallest whole nos.
3) There are infinitely many or uncountable number of whole-numbers
Posted by Sahil Chopade 5 years, 2 months ago
- 2 answers
Posted by Hasan Bawoor 5 years, 2 months ago
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Gaurav Seth 5 years, 2 months ago
A n s w e r
Apply remainder theorem
=> x - 1 =0
=> x = 1
Replace x by 1 we get
=> x3 + 3x2 + 3x + 1
=>(1)3 + 3(1)2 + 3(1) + 1
=> 1 + 3 + 3 + 1
=> 8
Remainder is 8
Posted by Rishab Yadav 5 years, 2 months ago
- 4 answers
Harish Ss 2 years, 1 month ago
Rohit Rathore 5 years, 2 months ago
Piyush Kumar 5 years, 2 months ago
Posted by Black Yadav 5 years, 2 months ago
- 3 answers
Posted by Srishty Negi 5 years, 2 months ago
- 1 answers
Gaurav Seth 5 years, 2 months ago
1. Give five examples of data that you can collect from your day-to-day life.
Solution:
Five examples from day-to-day life:
- Number of students in our class.
- Number of fans in our school.
- Electricity bills of our house for last two years.
- Election results obtained from television or newspapers.
- Literacy rate figures obtained from Educational Survey
2. Classify the data in Q.1 above as primary or secondary data.
Solution:
Primary data: when the information was collected by the investigator herself or himself with a definite objective in her or his mind, the data obtained is called primary data.
Primary data; (i), (ii) and (iii)
Secondary data; when the information was gathered from a source which already had the information stored, the data obtained is called secondary data
Secondary data; (iv) and (v)
Posted by Hritik Kumar 5 years, 2 months ago
- 2 answers
Posted by Anmol Singhal 5 years, 2 months ago
- 1 answers
Yogita Ingle 5 years, 2 months ago
In Maths, integers are the numbers which can be positive, negative or zero, but cannot be a fraction.
The examples of integers are, 1, 2, 5,8, -9, -12, etc. The symbol of integers is “Z“.
Posted by Muskan Shah 5 years, 2 months ago
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Posted by Anas Khan 5 years, 2 months ago
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Gaurav Seth 5 years, 2 months ago
. Construct an angle of 90° at the initial point of a given ray and justify the construction.
Construction Procedure:
To construct an angle 90°, follow the given steps:
1. Draw a ray OA
2. Take O as a centre with any radius, draw an arc DCB is that cuts OA at B.
3. With B as a centre with the same radius, mark a point C on the arc DCB.
4. With C as a centre and the same radius, mark a point D on the arc DCB.
5. Take C and D as centre, draw two arcs which intersect each other with the same radius at P.
6. Finally, the ray OP is joined which makes an angle 90° with OP is formed.
Justification
To prove ∠POA = 90°
In order to prove this, draw a dotted line from the point O to C and O to D and the angles formed are:
From the construction, it is observed that
OB = BC = OC
Therefore, OBC is an equilateral triangle
So that, ∠BOC = 60°.
Similarly,
OD = DC = OC
Therefore, DOC is an equilateral triangle
So that, ∠DOC = 60°.
From SSS triangle congruence rule
△OBC ≅ OCD
So, ∠BOC = ∠DOC [By C.P.C.T]
Therefore, ∠COP = ½ ∠DOC = ½ (60°).
∠COP = 30°
To find the ∠POA = 90°:
∠POA = ∠BOC+∠COP
∠POA = 60°+30°
∠POA = 90°
Hence, justified.
For more click on the given link:
<a href="https://mycbseguide.com/blog/ncert-solutions-for-class-9-maths-exercise-11-1/" ping="/url?sa=t&source=web&rct=j&url=https://mycbseguide.com/blog/ncert-solutions-for-class-9-maths-exercise-11-1/&ved=2ahUKEwjcspLywbHtAhU54zgGHafxBXwQFjALegQICxAC" rel="noopener" target="_blank">NCERT Solutions for Class 9 Maths Exercise 11.1 ...</a>
Posted by Kanika Chaurasia 5 years, 2 months ago
- 5 answers
Shweta Singh 5 years, 2 months ago
Posted by Ankur Pal 5 years, 2 months ago
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Srishty Negi 5 years, 2 months ago
Khushi Vats 5 years, 2 months ago
Soham Basu 5 years, 2 months ago
Posted by Acbu Roy 5 years, 2 months ago
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Kripa Daga 5 years, 2 months ago
Posted by Chirag Chimnani 5 years, 2 months ago
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Posted by Prashant Patel 5 years, 2 months ago
- 1 answers
Yogita Ingle 5 years, 2 months ago
Median =120 and mean = 124
mode = 3median - 2mean
mode = 3(120) - 2(124)
mode = 360 - 248 = 112
Posted by Nitin Kumar Jain 5 years, 2 months ago
- 1 answers
Yogita Ingle 5 years, 2 months ago
If two lines intersect each other, then the vertically opposite angles are equal.
Proof :
In the statement above, it is given that ‘two lines intersect each other’. So, let AB and CD be two lines intersecting at O as shown in Fig. 6.8. They lead to two pairs of vertically opposite angles, namely,
(i) ∠ AOC and ∠ BOD (ii) ∠ AOD and ∠ BOC.
We need to prove that ∠ AOC = ∠ BOD and ∠ AOD = ∠ BOC.
Now, ray OA stands on line CD.
Therefore, ∠ AOC + ∠ AOD = 180° (Linear pair axiom) ………..(1)
Can we write ∠ AOD + ∠ BOD = 180°? (Linear pair axiom)……………(2)
From (1) and (2), we can write
∠ AOC + ∠ AOD = ∠ AOD + ∠ BOD
This implies that ∠ AOC = ∠ BOD
Similarly, it can be proved that ∠AOD = ∠BOC
Posted by Shimey Raghuwanshi 5 years, 2 months ago
- 2 answers
Kripa Daga 5 years, 2 months ago
Posted by Shimey Raghuwanshi 5 years, 2 months ago
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Posted by Shimey Raghuwanshi 5 years, 2 months ago
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Posted by Shimey Raghuwanshi 5 years, 2 months ago
- 4 answers
Posted by Shimey Raghuwanshi 5 years, 2 months ago
- 3 answers
Posted by Prachi - 5 years, 2 months ago
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Posted by Prachi - 5 years, 2 months ago
- 2 answers
Yogita Ingle 5 years, 2 months ago
Here, PQ = SR = 12cm
Let PS = x and PS = QR
∴ x + 12 + x +12 = Perimeter
2x + 24 = 40
2x = 16
x = 8
Hence, length of each side of the parallelogram is 12cm , 8cm , 12cm and 8cm.
Gaurav Seth 5 years, 2 months ago
Here, PQ = SR = 12cm
Let PS = x and PS = QR
∴ x + 12 + x +12 = Perimeter
2x + 24 = 40
2x = 16
x = 8
Hence, length of each side of the parallelogram is 12cm , 8cm , 12cm and 8cm.
Posted by Prachi - 5 years, 2 months ago
- 0 answers
Posted by Prachi - 5 years, 2 months ago
- 2 answers
Queen 14 5 years, 2 months ago
Yogita Ingle 5 years, 2 months ago
Let the smallest angle be x
One angle = 2x - 30°
∴ x + 2x - 30° = 180°
⇒ 3x = 210°
⇒ x = 70°
∴ 2x - 30° = 110°
∴ Angles are 70°, 110° , 70°, 110° .
Posted by Udityadav Dk 5 years, 2 months ago
- 3 answers
Posted by Sahil Kumar 5 years, 2 months ago
- 1 answers
Yogita Ingle 5 years, 2 months ago
In ∆ABC , angle B=90° and D is a point on hypotenuse AC such that angle DBC
= angle DCB.
In,∆ABC. let angle ACB or DCB = x° , then angle BAC or BAD = 90°-x………..(1)
In. ∆ DBC angle DBC= angle DCB=x°………..(given)
But angle ABD+angle DBC =90°
or. angle ABD. = 90°-x°……………(2)
from eqn. (1) and (2)
angle BAD =angle ABD…….(In ∆ DAB opposite angles are equal ,then opposite
sides are also equal.)
Thus , side BD = side AD. Proved.
Posted by Tanushri Deshpande 5 years, 2 months ago
- 5 answers
Yogita Ingle 5 years, 2 months ago
Brain tumours: Abnormal growth of tissue within the brain is termed as the brain tumour.
Neurodegenerative Diseases: A neurodegenerative disease is also called as the Degenerative Nerve Diseases.
Meningitis, Encephalitis, Seizures, Trauma, Hydrocephalus, Brain abscess, Tumors are the list of most common brain diseases.
Posted by Cbz Hero 5 years, 2 months ago
- 2 answers
Gaurav Seth 5 years, 2 months ago
Step-by-step explanation:
in triangle BCD,
semiperimeter (s) = BC + CD + BD/2
s = 60 + 30 + 70 /2
s = 160/2
s = 80
a = root[80 x (80-60) (80-30) (80 - 70)]
a = root[80 x 20 x 50 x 10]
a = root[ 10 x 4 x 2 x 2 x 10 x 5 x 10 x 10]
a = 10 x 4 x 10 root(5)
a = 400xroot(5)
a = 894.4 (approx)
In triangle ABD,
semiperimeter (s) = AB + BD + DA/2
s = 50 + 70 + 90/2
s = 210/2
s = 105
a = root[105 x (105- 50) (105-90) (105 - 70)]
a = root[105 x 55 x 15 x 35]
a = root[ 5 x 7 x 3 x 5 x 11 x 5 x 3 x 7 x 5]
a = 25 x 7 x 3 root(11)
a = 525 * root(11)
a = 1741.2 (approx)
Total area = 894.4 + 1741.2
= 2635.6 cm2(approx
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Rohit Rathore 5 years, 2 months ago
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