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Ask QuestionPosted by Tarun Kumar 4 years, 8 months ago
- 2 answers
Gaurav Seth 4 years, 8 months ago
We have given a3 = 16
a + (3 − 1) d = 16
a + 2d = 16 (1)
a7 − a5 = 12
[a+ (7 − 1) d] − [a + (5 − 1) d]= 12
(a + 6d) − (a + 4d) = 12
2d = 12
d = 6
From equation (1), we obtain
a + 2 (6) = 16
a + 12 = 16
a = 4
Therefore, A.P. will be
4, 10, 16, 22, …
Posted by ... .. 4 years, 8 months ago
- 2 answers
Posted by Suhaib Dar 4 years, 8 months ago
- 2 answers
Yogita Ingle 4 years, 8 months ago
Question 1. Express each number as a product of its prime factors:
(i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429
Answer:
(i) 140 = 2 x 2 x 5 x 7 =2² x 5 x 7
(ii)156 =2 x 2 x 3 x 13 =2² x 3 x 13
(iii)3825 =3 x 3 x 5 x 5 x 17 =3² x 5² x 17
(iv)5005 =5 x 7 x 11 x 13 =5 x 7 x 11 x 13
(v)7429 =17 x 19 x 23 =17 x 19 x 23
Posted by Hemansh.P. Jain 4 years, 8 months ago
- 2 answers
Posted by Rounak Mishra 4 years, 8 months ago
- 5 answers
Ayush Agrawal 4 years, 8 months ago
Nandini Patil 4 years, 8 months ago
Gaurav Seth 4 years, 8 months ago
a n s w e r
As per BODMAS rule, we have to calculate the expressions given in the brackets first. The full form of BODMAS is Brackets, Orders, Division, Multiplication, Addition and Subtraction
Yogita Ingle 4 years, 8 months ago
BODMAS is an acronym and it stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction.
Asvitha Karthikeyan 4 years, 8 months ago
Posted by Divyansh Gupta 4 years, 8 months ago
- 2 answers
Yogita Ingle 4 years, 8 months ago
Let AB be the lighthouse of height 75 m and P, Q be the position of the two ships whose angles of depression are 45º and 30º, respectively
Gaurav Seth 4 years, 8 months ago
Q: As observed from the top of a 75m high lighthouse from the sea-level, the angles of depression of two ships are 30º and 45º.If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.
Answer
Let AB be the lighthouse of height 75 m and P, Q be the position of the two ships whose angles of depression are 45º and 30º, respectively (Fig 11.28).
Posted by Pradip Tupke 4 years, 8 months ago
- 2 answers
Mankrishan Chadda ?? 4 years, 8 months ago
Posted by Shiva Gowri 4 years, 8 months ago
- 0 answers
Posted by The_ Pj 4 years, 8 months ago
- 4 answers
Simranpreet Kaur 4 years, 8 months ago
Kumar Kumar 4 years, 8 months ago
Kumar Kumar 4 years, 8 months ago
Posted by Diya Rajput 4 years, 8 months ago
- 3 answers
Posted by Diya Rajput 4 years, 8 months ago
- 1 answers
Yogita Ingle 4 years, 8 months ago
Let pencil be x and let pen be y
5x+7y=50
7x+5y=46
multiply first equation by 7
35x+49y = 350
multiply second equation by 5
35x+25y=230
solving them we get 24y=120 which gives y is 5 rupees
substituting in second equation we get x is 3 rupees
Posted by Archana Bhadana 4 years, 8 months ago
- 4 answers
Posted by Smith David 4 years, 8 months ago
- 2 answers
Archana Bhadana 4 years, 8 months ago
Posted by Pankaj Vishwakarma 4 years, 8 months ago
- 1 answers
Archana Bhadana 4 years, 8 months ago
Posted by Aachal Satwan 4 years, 8 months ago
- 1 answers
Gaurav Seth 4 years, 8 months ago
If the polynomial f(x) = ax3 + bx – c is divisible by the polynomial g(x) = x2 + bx + c, then find the value of ab.
a n s w e r
Since, f(x) is divisible by g(x)
Posted by Gurmeet Kaur 4 years, 8 months ago
- 0 answers
Posted by Manvi . 4 years, 8 months ago
- 2 answers
Yogita Ingle 4 years, 8 months ago
Given sequence is 3,15,27,39,...
The first term is a=3
The common difference is d=15−3=12
we know that the nth term of the arithmetic progression is given by a+(n−1)d
Let the mth term be 120 more than the 21st term
Therefore, 120+mthterm=21stterm
⟹120+a+(m−1)d=a+(21−1)d
⟹120+(m−1)12=(20)12
⟹12m−12=240+120
⟹12m=360+12
⟹12m=372
⟹m= 372/12 =31
Aachal Satwan 4 years, 8 months ago
Posted by Saba Yasmeen Kamdod 4 years, 8 months ago
- 1 answers
Yogita Ingle 4 years, 8 months ago
AAA similarity theorem or criterion:
If the corresponding angles of two triangles are equal, then their corresponding sides are proportional and the triangles are similar
In ΔABC and ΔPQR, ∠A = ∠P , ∠B = ∠Q , and ∠C = ∠R then AB PQ = BC QR = ACPRand ΔABC ∼ ΔPQR.
Given: In ΔABC and ΔPQR, ∠A = ∠P, ∠B = ∠Q, ∠C = ∠R.
To prove: AB PQ = BC QR = ACPR
Construction : Draw LM such that PL AB = PM AC .
Proof: In ΔABC and ΔPLM,
AB = PL and AC = PM (By Contruction)
∠BAC = ∠LPM (Given)
∴ ΔABC ≅ ΔPLM (SAS congruence rule)
∠B = ∠L (Corresponding angles of congruent triangles)
Hence ∠B = ∠Q (Given)
∴ ∠L = ∠Q
LQ is a transversal to LM and QR.
Hence ∠L = ∠Q (Proved)
∴ LM ∥ QR
PL LQ = PM MR
LQ PL = MR PM (Taking reciprocals)
LQ PL + 1 = MR PM + 1 (Adding 1 to both sides)
LQ+PL PL = MR+PM PM
PQ PL = PR PM
PQ AB = PR AC (AB = PL and AC =PM)
AB PQ = AC PR (Taking Reciprocals) ............... (1)
AB PQ = BC QR
AB PQ = AC PR = BC QR
∴ ΔABC ~ ΔPQR
Posted by Sneha Desai 4 years, 8 months ago
- 1 answers
Yogita Ingle 4 years, 8 months ago
Because the HCF of two numbers is also the factor of their multiples, therefore 200, 400 and 600 divide 1200 but 500 does not.
Posted by Harsh Kumar 4 years, 8 months ago
- 1 answers
Rounak Mishra 4 years, 8 months ago
Posted by Aniket Kajal 4 years, 8 months ago
- 5 answers
Posted by Krazy Girl 4 years, 8 months ago
- 4 answers
Diya Rajput 4 years, 8 months ago
Posted by Sukhveee Kaur 4 years, 8 months ago
- 1 answers
Posted by Iram Iru 4 years, 8 months ago
- 3 answers
Posted by Deeksha Tengeri 4 years, 8 months ago
- 1 answers
Posted by Harshraj Prajapat 4 years, 8 months ago
- 1 answers
Posted by Harshraj Prajapat 4 years, 8 months ago
- 2 answers
Ayushman Gajendra 4 years, 8 months ago
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Sonukishore Kamat 4 years, 8 months ago
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