English, asked by rupa3186, 5 months ago

hi.............carthI​

Answers

Answered by Harshikesh16726
1

Explanation:

x=rcosθcosϕ;y=rcosθsinϕ;z=rsinθ

x

2

+y

2

+z

2

=r

2

.

x

2

=r

2

cos

2

θcos

2

ϕ

y

2

=r

2

cos

2

θsin

2

ϕ

z

2

=r

2

sin

2

θ.

r

2

cos

2

θcos

2

ϕ+r

2

cos

2

θsin

2

ϕ+r

2

sin

2

θ=r

2

r

2

(cos

2

θcos

2

ϕ+cos

2

θsin

2

ϕ+sin

2

θ)=r

2

r

2

[cos

2

θ(sin

2

ϕ+cos

2

ϕ)+sin

2

θ]=r

2

r

2

[cos

2

θ(1)+sin

2

θ]=r

2

r

2

(1)=r

2

∴r

2

=r

2

∴ Hence Proved x

2

+y

2

+z

2

=r

2Totalno.ofstudents=3600

CentralangleforstudentsinScience=

3600

1000

×360=100

o

CentralangleforstudentsinCommerce=

3600

1200

×360=120

o

CentralangleforstudentsinArts=

3600

650

×360=65

o

CentralangleforstudentsinLaw=

3600

450

×360=45

o

CentralangleforstudentsinHomeScience=

3600

300

×360=30

oArrange the given data in ascending order

12,15,15,17,17,17,19,19,19,19,19,21,21,21,23,23,23,23,25,25

Frequency Distribution Table

Marks

12

15

17

19

21

23

25

No. of students

1

2

3

5

3

4

2Girls =

5

3

, Boys =(1−

5

3

)=

5

2

.

Fraction of students absent =

9

2

of

5

3

+

4

1

of

5

2

=

45

6

+

10

1

=

90

21

=

30

7

.

∴ Fraction of students present =(1−

30

7

)=

30

23

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Answered by manpreetmaan
0

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