Question

there are 10 questions
please answer them all ​

Answer 1

Answer:

1. 1 hours and 30 minute after they meet

Step-by-step explanation:

step by step in image show that

Answer 2

1) take LCM for 15 and 18

we get 90

convert 90 min in hours

90÷60=1.30

therefore they meet each other after 1 hour 30 min

2) (a) 140=2×2×5×3×3

(b) 156=2×2×3×13

(c) 3825= 2×5×11×11×139

(d) 5005=5×7×13×11

(e) 7429=17×19×23

3) 2√45+3√20/2√5

2√3×3×5+3√5×2×2/2√5

2×3√5+3×2√5/2√5

6√5+6√5/2√5

12√5/2√5

6

hence 6 is a rational number

4) don't know

5) take the HCF of 8100

then we get 2^2×3^4×5^2

so, x=4 , y=2 , z= 2

xyz = 16

6) 51/375

it will terminate after 3 decimal places

7) since 12576>4052 we apply the division lemma to 12576 and 4052 to get

12576=4052×3+420

since the remainder 420≠0 we apply division lemma to 4052 and 420 to get

4052=420×9+272

since the remainder 272≠0 we apply division lemma to 420 and 272 to get

420=272×1+148

since the remainder 148≠0 we apply division lemma to 272 and 148 to get

272=148×1+124

since the remainder 124≠0 we apply division lemma to 148 and 124 to get

148=124×1+24

since the remainder 24≠0 we apply division lemma to 124 and 24 to get

124=24×5+4

since the remainder 4≠0 we apply division lemma to 24 and 4 to get

24=4×6+0

therefore HCF of 12576 and 4025 is 4

8) we need 6 stacks to arrange 566 books and 1 book is left

9) let us 3+2√5 as rational number

3+2√5=a/b

2+√5=a/b-3

2+√5=a-3b/b

√5=a-3b/2b

here a and b are integer so a-3b/2b is rational number

so, √5 should be rational number

√5 is irrational number by contradiction method

hence 3+2√5 is irrational number

10) 0.4871/1

multiple numerator and denominator by 10000

0.4871×10000/1×10000

4871/10000

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