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Take breadth as x
length as x+4
perimeter = 2× (Length +breadth)
84 = 2 (x+4 +x)
84 = 2X + 8 + 2x
84 = 4X + 8
84-8 = 4x
4x = 76
x = 19


breadth = x = 19
length = x + 4 = 19 +4 = 23

2085,136 is the SQUARE ROOT of 1444

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As there are 4 FULLS weeks i.e 28 days..
So..every DAY occurs minimum 4 times.
Then remaining 3 days (as jan has 31 days) will be MONDAY , tuesday , wednesday.
so on 31st jan comes wednesday.
so 1ST jan ll be MoNDAY

LET the 1ST no =x

2nd no=x+1

3rd no=x+7

4th no.=x+8

4x+16=80

4x+=64

x=16

Your answer is....
In ALGEBRA a term is EITHER a SINGLE or variable, or NUMBER and variable multiplied together..

Term are separated by - or+ signs...

3c+8c-5c+8+7
6c+15 is the SIMPLIFIED EXPRESSION

Solution :

_______

SMALLEST PRIME Number = 2

reciprocal of 2 is 1/2 .................(i)

Greatest one digit number = 9 .................(ii)

ACQ we have to FIND the sum of (i) and (ii)

-2/3-2/3×3/5+5/2-3/5×1/6
-2/3-2/5+5/2-1/10
-20-12+75-3/30
-35+75/30
45/30=3/2

HI,

Here is your ANSWER,

COT3A = cot³A - 3cotA / 3cot²A - 1

Hope it HELPS you !

I HOPE it will HELP you

Hey MATE!

³√1000
= ³√10*10*10
= 10
thus, cube ROOT of 1000 is 10.
hope it was helpful!✌️

Adjacent angles of a parallelogram are supplementary.

=> Sum of adjacent angles = 180°

Let the RATION of the adjacent angles be 4 X : 5 x

4 x + 5 x = 180°

9 x = 180°

=> x = 180° / 9

=> x = 20°

Hence the MEASURE of angles are ( 4 * 20° ) and ( 5 * 20° ). Which are 80° and 100°

Hence the measure of angles are 100° and 80°.

factors of 42592 are = 2*2*2*2*2*11*11*11

so to MAKE a PERFECT cube we will DIVIDE the NUMBER by 2*2 which is 4

Organized Sector. ....
1.Job is secure.
2.Employers work for a specific amount of hours.
3. Free medical facilities are available for employers by the COMPANY.
4 . More payment for OVERTIME.
5.Holidays are available.
Unorganised Sector ........
1.Job is unsecured.
2 . No decided working hours.
3 . NO any facilities are available for employers.
4.No payment for overtime.
5.Vacations are unavailable.

क्यूकि उसने 95 रुपए का माल लिआ

Let two acute angles are 1x and 2X (As the SUM of acute angles is 90° so)______________ 1x+2x=90°_______3x=90°________x=30° so ____ 1x=1*30°=30° __ 2x=2*30°=60° hope it HELPS you MATE don't forget to do brainliesdt

Let TOTAL NUMBER of deer = X

1/2 x deer GRAZING

(3/4) of 1/2 x playing and remaining (1/4) of 1/2 x = 9, SOLVING for x

(1/4) of 1/2 x = 9

1/4 * 1/2 * x = 9

1/8 * x = 9

x = 72

hence total deer = 72

Here is the SOLUTION:

( (1+9) ) + ( (3+7) ) + ( ( 5+5) )=30

3/25&1/5 are TERMINATING DECIMAL
HOPE IT HELPS YOU

For FINDING REMAINDER PUT x+1=0 so x=-1 THEREFORE the remainder will be 0

I am SOLVING the other QUESTIONS

Given

Angle 1 = 30° ; Angle 2 = 80°

To FIND : Third angle = ?

We KNOW that,

Angle sum property of a triangle states that, if we sum up all the interior angles of a triangle, we get 180° as the sum.

=> 30° + 80° + Angle 3 = 180°

=> 110° + Angle 3 = 180°

=> Angle 3 = 180° - 110°

=> Angle 3 = 70°

Hence the MEASURE of third angle is 70°.

A common method of FACTORING numbers is to completely factor the number into positive prime factors. A prime number is a number WHOSE only positive factors are 1 and itself. For example 2, 3, 5, and 7 are all examples of prime numbers. ... Factoring POLYNOMIALS is done in pretty much the same manner.

(E.) 2(x-2)+3(4x-1)=0
2x-4+12x-3=0
14x -7=0
14x= 7
x=1/2

(F.) (2x-4)-3(3x-8)=5
2x-4-9x+24=5
7x+20 =5
7x= -15
x= -15/7

Total CUPS of DRY FRUITS = 2. 5 + 3.5 = 6

Hey.....!!!!
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☺️☺️☺️
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_Here is Ur Answer_
In MATHEMATICS, the inequality of arithmetic and geometric means, or more briefly the AM–GM inequality, states that the arithmetic mean of a list of non-negative REAL numbers is greater than or equal to the geometric mean of the same list; and further, that the TWO means are equal if and only if every number in the list is the same.

The simplest non-trivial case — i.e., with more than one variable — for two non-negative numbers x and y, is the statement that

{\displaystyle {\frac {x+y}{2}}\geq {\sqrt {xy}}}

with equality if and only if x = y. This case can be seen from the fact that the square of a real number is always non-negative (greater than or equal to zero) and from the elementary case (a ± b)2 = a2 ± 2ab + b2 of the binomial formula:

{\displaystyle {\BEGIN{aligned}0&\leq (x-y)^{2}\\&=x^{2}-2xy+y^{2}\\&=x^{2}+2xy+y^{2}-4xy\\&=(x+y)^{2}-4xy.\end{aligned}}}

Hence (x + y)2 ≥ 4xy, with equality precisely when (x − y)2 = 0, i.e. x = y. The AM-GM inequality then follows from taking the positive square root of both SIDES.

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Hope it may HELP U
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Plzz Mark it as Brainliest......

Here is ur ANSWER
let "a" is any positive integer
we have to SHOW that
"A2" is in the form of 3p,3p+a
Euclid's division lemma

a=bq+r where q≥0 and 0≤rlet a=1 a2=1 square=1
1=3(0)+1 semilar to 3p+1 where p=0
U have to CHANGE in place of 3p+1 u WRITE 3p+a

Hello guys
Here is your answer to your question
Hope you like it and it is helpful

Please mark it as brainlist





The Divisibility Rules

These rules let you test if one number is divisible by another, without having to do too much calculation!

Example: is 723 divisible by 3?

We could try dividing 723 by 3

Or USE the "3" rule: 7+2+3=12, and 12 ÷ 3 = 4 exactly  Yes

Note: 0 (zero) is a "yes" result to any of these tests.

 

1

Any integer (not a fraction) is divisible by 1

2

The last digit is even (0,2,4,6,8)

128  Yes

129  No

3

The sum of the digits is divisible by 3

381 (3+8+1=12, and 12÷3 = 4) Yes

217 (2+1+7=10, and 10÷3 = 3 1/3) No

This rule can be repeated when needed:

99996 (9+9+9+9+6 = 42, then 4+2=6) Yes

4

The last 2 digits are divisible by 4

1312 is (12÷4=3) Yes

7019 is not (19÷4=4 3/4) No

A quick check (useful for small numbers) is to halve the number twice and the result is still a whole number.

12/2 = 6, 6/2 = 3, 3 is a whole number. Yes

30/2 = 15, 15/2 = 7.5 which is not a whole number. No

5

The last digit is 0 or 5

175  Yes

809  No

6

Is even and is divisible by 3 (it passes both the 2 rule and 3 rule above)

114 (it is even, and 1+1+4=6 and 6÷3 = 2) Yes

308 (it is even, but 3+0+8=11 and 11÷3 = 3 2/3) No

7

Double the last digit and subtract it from a number made by the other digits. The result must be divisible by 7. (We can apply this rule to that answer again)

672 (Double 2 is 4, 67-4=63, and 63÷7=9) Yes

105 (Double 5 is 10, 10-10=0, and 0 is divisible by 7) Yes

905 (Double 5 is 10, 90-10=80, and 80÷7=11 3/7) No

8

The last three digits are divisible by 8

109816 (816÷8=102) Yes

216302 (302÷8=37 3/4) No

A quick check is to halve three times and the result is still a whole number:

816/2 = 408, 408/2 = 204, 204/2 = 102 Yes

302/2 = 151, 151/2 = 75.5 No

9

The sum of the digits is divisible by 9

(Note: This rule can be repeated when needed)

1629 (1+6+2+9=18, and again, 1+8=9) Yes

2013 (2+0+1+3=6) No

10

The number ends in 0

220  Yes

221  No

11

Add and subtract digits in an ALTERNATING pattern (add digit, subtract next digit, add next digit, etc). Then check if that answer is divisible by 11.

1364 (+1−3+6−4 = 0) Yes

913 (+9−1+3 = 11) Yes

3729 (+3−7+2−9 = −11) Yes

987 (+9−8+7 = 8) No

12

The number is divisible by both 3 and 4 (it passes both the 3 rule and 4 rule above)

648 
(By 3? 6+4+8=18 and 18÷3=6 Yes) 
(By 4? 48÷4=12 Yes) 
Both PASS, so Yes

524 
(By 3? 5+2+4=11, 11÷3= 3 2/3 No) 
(Don't need to check by 4) No

There are lots more! Not only are there divisibility tests for larger numbers, but there are more tests for the numbers we have shown.

Factors Can Be Useful

Factors are the numbers you multiply to get another number:



This can be useful, because:

When a number is divisible by another number ...

... then it is ALSO divisible by each of the factors of that number.

 

a=6
d=7
l=96

N=(l-a/d)+1

n=(97-6/7)+1
n=13+1

n=14 this is your ANSWER HOPE this HELPS you

The EXPONENT will,
X(x)^3×2=x×x^6=x^1+6=x^7.

the ANS will be +-4 just USE b^2-4ac=0

Let the other integer be X

So, X-45 = -25

X = -25 + 45

X = 20

Other integer is 20

If you MEAN 2 root 3 WHOLE the ANSWER is

ratio=3:4

total money=2100rs

money with each of them=3x and 4x

         so,

               3x+4x=2100

                7x=2100

                   x=2100/7

                      x=300

now,         

                 orphanage had=3x=3*300=900

                   BLIND SCHOOL had=4x=4*300=1200

this is the answer...

in order to check you can ADD,

                                               900+1200=2100..

hope this HELPS..

3x+5x+7x=300

15x=300

x=20

By using COSINE rule to FIND some ANGLE from the triangle.

let a =3x b=5x c=7x

a=60 b=100 c=140(We need to find the angle between a and b)

c^2=a^2+b^2-2ab cos C ( Find the angle opposite of line c)

19600=3600+10000-[ 2(60)(100) cosC]

-6000= 12000cos C

C=120

By using formula of Side angle side

(AB sin C)/2=(60x100 sin120)/2

=2598.07m^2