332354 + Interview Questions in Secondary School in Math

1.	In a factory, the number of male workers is 2/5th of the female workers. If the total number of workers is 84, find : a) The number of female workers b) The number of male workers
Answer» FEMALE WORKER is x male WORKERS is 2x/5=0.4x total workers=84=x+0.4x=1.4x so x=60 female workers 60 male workers 24 plz MARK as BRAINLIEST

1.

In a factory, the number of male workers is 2/5th of the female workers. If the total number of workers is 84, find : a) The number of female workers b) The number of male workers

Answer»

FEMALE WORKER is x

male WORKERS is 2x/5=0.4x

total workers=84=x+0.4x=1.4x

so x=60

female workers 60

male workers 24

plz MARK as BRAINLIEST

Discussion

2.	In a game mishala scored 20,-40, 10 and meera scored -40, 10 , 20.who scored more and can we add scores (integers) in any order?
Answer» YES you can ADD by the total mishali SCORES -10 Meera scores -10 both scores same

2.

In a game mishala scored 20,-40, 10 and meera scored -40, 10 , 20.who scored more and can we add scores (integers) in any order?

Answer»

YES you can ADD by the total

mishali SCORES -10

Meera scores -10

both scores same

Discussion

3.	A car travels 195 km in 3 hours. how long will it take to travel 325 km
Answer» Answer: Step-by-step explanation: CAR's duration to travel in 3 HOURS= 195 km car's duration to travel in 1 hour = 195 km/3 = 65 km/per hour 65 MULTIPLIED by 5 = 325

3.

A car travels 195 km in 3 hours. how long will it take to travel 325 km

Answer»

Answer:

Step-by-step explanation:

CAR's duration to travel in 3 HOURS= 195 km

car's duration to travel in 1 hour = 195 km/3

= 65 km/per hour

65 MULTIPLIED by 5 =

325

Discussion

4.	Find radius in fraction while circumference is 20 cm?
Answer» PLESE FOLLOW me I will follow BACK

Discussion

5.	Is multiplicative identity for integers
Answer» Answer: yes multiplicative inverse is for INTEGERS ALSI

5.

Is multiplicative identity for integers

Answer»

Answer:

yes multiplicative inverse is for INTEGERS ALSI

Discussion

6.	Factorise (3x-2y)³ by using appropriate property
Answer» this is my ANSWER .PLEASE THANKS me

6.

Factorise (3x-2y)³ by using appropriate property

Answer»

this is my ANSWER .PLEASE THANKS me

Discussion

7.	The class size of the intervals 14-17,18-21,22-25 is____
Answer» Answer: 3 Step-by-step explanation: 15,16,17 IHopeItIsUseFulFor U

7.

The class size of the intervals 14-17,18-21,22-25 is____

Answer»

Answer:

3

Step-by-step explanation:

15,16,17

IHopeItIsUseFulFor U

Discussion

8.	Which is the best suited for multiplying binomials
Answer» Answer: The best suited for MULTIPLYING BINOMIAL is FOIL. Hope this ANSWERS HELPS you.

8.

Which is the best suited for multiplying binomials

Answer»

Answer:

The best suited for MULTIPLYING BINOMIAL is FOIL.

Hope this ANSWERS HELPS you.

Discussion

9.	If we divide the sum of 45 and 90 by their difference the answer is
Answer» Step-by-step explanation: 135/45 = 3 is the CORRECT ANSWER

9.

If we divide the sum of 45 and 90 by their difference the answer is

Answer»

Step-by-step explanation:

135/45 = 3 is the CORRECT ANSWER

Discussion

10.	X/4+6=1Fb4nrbrvDtbrbrvbrD
Answer» ANSWER: X= -24 is the answer of your QUESTION

10.

X/4+6=1Fb4nrbrvDtbrbrvbrD

Answer»

ANSWER:

X= -24 is the answer of your QUESTION

Discussion

11.	Round 828to nearest 100
Answer» ANSWER: 828 is ROUND to800 because 2 is in the tenth place and 28 is less than 50 . hope you this answer is helpful to you . please LIKE,RATE and comment . don't FORGET to like and rate the answer

11.

Round 828to nearest 100

Answer»

ANSWER:

828 is ROUND to800 because 2 is in the tenth place and 28 is less than 50 .

hope you this answer is helpful to you . please LIKE,RATE and comment . don't FORGET to like and rate the answer

Discussion

12.	What will be the cost of Wooden stik required to frame square picture offside 105 CM the cost of wooden stick 75 paise per metre
Answer» ANSWER: the COST of 105CM is 78.75paise

12.

What will be the cost of Wooden stik required to frame square picture offside 105 CM the cost of wooden stick 75 paise per metre

Answer»

ANSWER:

the COST of 105CM is 78.75paise

Discussion

13.	length and breadth if rectangle paper is in the ratio is √3:1.then what is the angle made by its diagonals
Answer» GIVEN : The RATIO of length and BREADTH of rectangle = L : B = √3 : 1 To Find : The angle made by diagonals Solution : Let The Length = L = √3 x The breadth = B = x From figure ABCD is rectangle For right angle TRIANGLE Each angle of rectangle = 90° In Δ ABC Sin angle = $\dfrac{perpendicular}{hypotenuse}$ Or, Sin 90° = $\dfrac{AB}{AC}$ Or, 1 = $\dfrac{x}{AC}$ Or, AC = x Again ∵ Tan angle = $\dfrac{perpendicular}{base}$ $Tan\Theta _2$ = $\dfrac{AB}{BC}$ = $\dfrac{x}{\sqrt{3} x}$ = $\dfrac{1}{\sqrt{3} }$ ∴ $\Theta _2$ = $Tan^{-1} ( \dfrac{1}{\sqrt{3} } )$ = 30° For any triangle , sum of all angles = 180° So, $\Theta _1$ = 180° - ( 90° + $\Theta _2$ ) = 180° - ( 90° + 30° ) = 60° Hence, The angle of diagonal are 30° , 60° ANSWER

13.

length and breadth if rectangle paper is in the ratio is √3:1.then what is the angle made by its diagonals

Answer»

GIVEN :

The RATIO of length and BREADTH of rectangle = L : B = √3 : 1

To Find :

The angle made by diagonals

Solution :

Let The Length = L = √3 x

The breadth = B = x

From figure ABCD is rectangle

For right angle TRIANGLE Each angle of rectangle = 90°

In Δ ABC

Sin angle = $\dfrac{perpendicular}{hypotenuse}$

Or, Sin 90° = $\dfrac{AB}{AC}$

Or, 1 = $\dfrac{x}{AC}$

Or, AC = x

Again

∵ Tan angle = $\dfrac{perpendicular}{base}$

$Tan\Theta _2$ = $\dfrac{AB}{BC}$

= $\dfrac{x}{\sqrt{3} x}$

= $\dfrac{1}{\sqrt{3} }$

∴ $\Theta _2$ = $Tan^{-1} ( \dfrac{1}{\sqrt{3} } )$

= 30°

For any triangle , sum of all angles = 180°

So, $\Theta _1$ = 180° - ( 90° + $\Theta _2$ )

= 180° - ( 90° + 30° )

= 60°

Hence, The angle of diagonal are 30° , 60° ANSWER

Discussion

14.	Q.1 Factor the following using identities wherever necessary.a) x square - 4x
Answer» Answer: You can SEE the answer in ADJOINING PIC. Hope it helps...

14.

Q.1 Factor the following using identities wherever necessary.a) x square - 4x

Answer»

Answer:

You can SEE the answer in ADJOINING PIC.

Hope it helps...

Discussion

15.	Multiply: (x – 4)(x + 5)
Answer» HEY MATE here is UR ANSWER (x-4)(x+5)=x²+5x-4x-20 =x²+x-20. hope it HELPS. ☆☆☆

15.

Multiply: (x – 4)(x + 5)

Answer»

HEY MATE here is UR ANSWER

(x-4)(x+5)=x²+5x-4x-20

=x²+x-20.

hope it HELPS.

☆☆☆

Discussion

16.	9x+5у =52. –3x-4y=-11. substitution. method
Answer» ANSWER is in the PICTURE and sorry if my hand writing is not that GOOD.

16.

9x+5у =52. –3x-4y=-11. substitution. method

Answer»

ANSWER is in the PICTURE and sorry if my hand writing is not that GOOD.

Discussion

17.	A dice is thrown twice find the probailityof getting no. which are divisible by 2 bath
Answer» ANSWER: the answer is 1/2 Step-by-step explanation: see how number of phases in dice are six if we THROW it twice the phases will be 12 then just put it like this 6/12 as there are 3 EVEN no and if we throw it twice then it will be 6/12 then after DIVIDING it will be 1/2

17.

A dice is thrown twice find the probailityof getting no. which are divisible by 2 bath

Answer»

ANSWER:

the answer is 1/2

Step-by-step explanation:

see how

number of phases in dice are six if we THROW it twice the phases will be 12 then just put it like this 6/12 as there are 3 EVEN no and if we throw it twice then it will be 6/12 then after DIVIDING it will be 1/2

Discussion

18.	the product of two numbers is 18.576 if one of them is 5.4 find the other number what do you mean by this
Answer» one number = 5.4 other number = ? ----> X product of TWO NUMBERS is 18.576 so 5.4 x X = 18.576 5.4X = 18.576 X = 18.576/5.4 X = 3.44 so the other number is 3.44

18.

the product of two numbers is 18.576 if one of them is 5.4 find the other number what do you mean by this

Answer»

one number = 5.4

other number = ? ----> X

product of TWO NUMBERS is 18.576

so

5.4 x X = 18.576

5.4X = 18.576

X = 18.576/5.4

X = 3.44

so the other number is 3.44

Discussion

19.	Geometry question need urgently
Answer» Answer: MAY be your answer is 0 Step-by-step EXPLANATION: PLS MARK me as brainliest pls

19.

Geometry question need urgently

Answer»

Answer:

MAY be your answer is 0

Step-by-step EXPLANATION:

PLS MARK me as brainliest pls

Discussion

20.	Write the first five whole number in a form of p by q,where P and Q are integeres.
Answer» Answer: 0/1,1/1,2/1,3/1,4/2

20.

Write the first five whole number in a form of p by q,where P and Q are integeres.

Answer»

Answer:

0/1,1/1,2/1,3/1,4/2

Discussion

21.	Which is the greatest rational number of -5/11,-5/12,-5/17
Answer» Answer: -5/17 Step-by-step explanation: the relation between DENOMINATOR and VALUE is inverse..... bigger the denominator SMALLER the number...... now as we know if the smaller negative number is bigger in value so 5/17 is smallest so that means -5/17 is GREATEST

21.

Which is the greatest rational number of -5/11,-5/12,-5/17

Answer»

Answer:

-5/17

Step-by-step explanation:

the relation between DENOMINATOR and VALUE is inverse..... bigger the denominator SMALLER the number...... now as we know if the smaller negative number is bigger in value so 5/17 is smallest so that means -5/17 is GREATEST

Discussion

22.	(Cos A + sin A) ( tan A + cot A) = sec A + cosec AHow do I solve this?
Answer» Step-by-step EXPLANATION: $(cosa + \sin(a) ( \tan(a) + \cot(a) ) \\ = ( \cos(a) + \sin(a) )( \frac{ \sin(a) }{ \cos(a) } + \frac{ \cos(a) }{ \sin(a) } ) \\ = \cos(a) + \sin(a) \times \frac{ \sin(a) \times \sin(a) + \cos(a) \times \cos(a) }{ \sin(a) \times \cos(a) } \\ = \frac{ \cos(a) + \sin(a) }{ \sin(a) \times \cos(a) } \times { \sin(a) }^{2} + { \cos(a) }^{2} \\ = \frac{ \cos(a) }{ \sin(a) \times \cos(a) } + \frac{ \sin(a) }{ \sin(a) \times \cos(a) } \times 1 \\ = \frac{1}{ \sin(a) } + \frac{1}{ \cos(a) } \\ = \cosec(a) + \sec(a) \: \: \: \: \: r.h.s$

22.

(Cos A + sin A) ( tan A + cot A) = sec A + cosec AHow do I solve this?

Answer»

Step-by-step EXPLANATION:

$(cosa + \sin(a) ( \tan(a) + \cot(a) ) \\ = ( \cos(a) + \sin(a) )( \frac{ \sin(a) }{ \cos(a) } + \frac{ \cos(a) }{ \sin(a) } ) \\ = \cos(a) + \sin(a) \times \frac{ \sin(a) \times \sin(a) + \cos(a) \times \cos(a) }{ \sin(a) \times \cos(a) } \\ = \frac{ \cos(a) + \sin(a) }{ \sin(a) \times \cos(a) } \times { \sin(a) }^{2} + { \cos(a) }^{2} \\ = \frac{ \cos(a) }{ \sin(a) \times \cos(a) } + \frac{ \sin(a) }{ \sin(a) \times \cos(a) } \times 1 \\ = \frac{1}{ \sin(a) } + \frac{1}{ \cos(a) } \\ = \cosec(a) + \sec(a) \: \: \: \: \: r.h.s$

Discussion

23.	If the interest of a money is equal to its one by nine, the rate of interest and time areequal then find rate of interest is.
Answer» <P>Answer: R = 10/3 Step-by-step explanation: SINCE We Know That S.I = (P×R×T)/100 Here S.I is Simple Interest P is Principal R is Rate T is time Acc. To Question 1/9 × P = (P×R×T)/100 1/9 = (R×T)/100 Since R = T 1/9 = T×T / 100 T×T = 100/9 = ( 10 × 10 )/(3 × 3) T = 10/3 Therefore R = 10/3

23.

If the interest of a money is equal to its one by nine, the rate of interest and time areequal then find rate of interest is.

Answer»

<P>Answer:

R = 10/3

Step-by-step explanation:

SINCE We Know That

S.I = (P×R×T)/100

Here S.I is Simple Interest

P is Principal

R is Rate

T is time

Acc. To Question

1/9 × P = (P×R×T)/100

1/9 = (R×T)/100

Since R = T

1/9 = T×T / 100

T×T = 100/9 = ( 10 × 10 )/(3 × 3)

T = 10/3

Therefore R = 10/3

Discussion

24.	Natasha and Richard win some money and share it in the ratio 5:1. Natasha gets £60 more than Richard. How much did they get altogether?
Answer» ANSWER: NOO Any IDEAS YRRR srryyyyy BRO

24.

Natasha and Richard win some money and share it in the ratio 5:1. Natasha gets £60 more than Richard. How much did they get altogether?

Answer»

ANSWER:

NOO Any IDEAS YRRR srryyyyy BRO

Discussion

25.	Plzzzz answer the second question
Answer» 0 PLZ MARK ME AS BRAINLIEST

25.

Plzzzz answer the second question

Answer»

0

PLZ MARK ME AS BRAINLIEST

Discussion

26.	If x and y are two rational numbers, then____is a rational number between x and y
Answer» the RATIONAL NUMBER between X and y is (x+y)÷2

Discussion

27.	A dice is thrown twice find the probability of getting number which are divisible by 2 both
Answer» Answer: 3/2 Step-by-step explanation: no. of TIMES duce is thrown:2 total no. of favourable OUTCOMES:3(2,4&6) probability of getting a favourable outcomes when one dice is thrown:3/1 when TWO dice is thrown:3/2 .: the answer is 3/2

27.

A dice is thrown twice find the probability of getting number which are divisible by 2 both

Answer»

Answer:

3/2

Step-by-step explanation:

no. of TIMES duce is thrown:2

total no. of favourable OUTCOMES:3(2,4&6)

probability of getting a favourable outcomes when one dice is thrown:3/1

when TWO dice is thrown:3/2

.: the answer is 3/2

Discussion

28.	Which of the symbols < = or should replace the blank space ?1) 7/8.…... 9/12
Answer» Answer: 7/8>9/12 Step-by-step explanation: 7/8=0.875 9/12=3/4=0.75 0.875>0.75

28.

Which of the symbols < = or should replace the blank space ?1) 7/8.…... 9/12

Answer»

Answer:

7/8>9/12

Step-by-step explanation:

7/8=0.875

9/12=3/4=0.75

0.875>0.75

Discussion

29.	What is the difference between a tangent and a secant
Answer» a secant line is a straight line joining TWO points on a FUNCTION. a TANGENT line is a straight line that TOUCHES a function at only one point. please let it be brainlist ANSWER

29.

What is the difference between a tangent and a secant

Answer»

a secant line is a straight line joining TWO points on a FUNCTION.

a TANGENT line is a straight line that TOUCHES a function at only one point.

please let it be brainlist ANSWER

Discussion

30.	Answer 3 and 4 part plz
Answer» Answer: α and β are the zeros of the polynomial x2 -5x +4 x2 -5x +4 x2 - X - 4x + 4 x ( x - 1 ) -4 ( x - 1 ) ( x - 4 ) ( x - 1 ) zeros of polynomial α = 4 β = 1 α4 + β4 = 4^4 + 1^4 = 256 + 1 = 257 αβ^2 + α^2β = 41 + 161 = 4 + 16 = 20 *hope* it is helpful if it is *hit* *LIKE* *and* *mark* it as *brainliest*

30.

Answer 3 and 4 part plz

Answer»

Answer:

α and β are the zeros of the polynomial x2 -5x +4

x2 -5x +4

x2 - X - 4x + 4

x ( x - 1 ) -4 ( x - 1 )

( x - 4 ) ( x - 1 )

zeros of polynomial

α = 4

β = 1

α4 + β4

= 4^4 + 1^4

= 256 + 1

= 257

αβ^2 + α^2β

= 4*1 + 16*1

= 4 + 16

= 20

hope it is helpful

if it is hit LIKE and mark it as brainliest

Discussion

31.	plz solve the following questions I will mark you brainliest and also follow u and if you attach a pic plz check if it's correct or not plz
Answer» Step-by-step EXPLANATION: all are same METHOD and I am in HINDI MEDIUM STUDENT

31.

plz solve the following questions I will mark you brainliest and also follow u and if you attach a pic plz check if it's correct or not plz

Answer»

Step-by-step EXPLANATION:

all are same METHOD and I am in HINDI MEDIUM STUDENT

Discussion

32.	What percent of 35 is 10?
Answer» ANSWER: Here is your answer MATE

32.

What percent of 35 is 10?

Answer»

ANSWER:

Here is your answer MATE

Discussion

33.	Factorise 27x³-18x²
Answer» Step-by-step explanation: 27x^3 -18x^2 3x(9x^2-6x)

33.

Factorise 27x³-18x²

Answer»

Step-by-step explanation:

27x^3 -18x^2

3x(9x^2-6x)

Discussion

34.	The sum of the height and radius of the solid cylinder is 37m.If the total surface area of the cylinder be1628msq,find it's volume
Answer» ANSWER : Volume of the cylinder is 4620 m³. EXPLANATION : GIVEN :- SUM of height and radius of the solid cylinder = 37 m. Total SURFACE area of the cylinder = 1628 m². TO FIND : Volume of cylinder. SOLUTION : Let the height of the cylinder be h m and the radius of the cylinder be r m. Sum of height and radius= 37 m. Total surface area = 1628 m². We know, TSA of cylinder = 2πr(h+r) According to the question, $\sf{h+r=37............(i)}$ $\sf{2\pi\:r(h+r)=1628............(ii)}$ ✪Taking EQ(ii)✪ $\sf{2\pi\:r(h+r)=1628}$ $\implies{2\times\frac{22}{7}\times\:r\times\:37=1628\:\:[From\:eq(i)\:h+r=37]}$ $\implies\sf{r=1628\times\:\frac{1}{2}\times\:\frac{7}{22}\times\:\frac{1}{37}}$ $\implies\sf{r=7}$ † Putting r = 7 in eq .(i) † h +r = 37 →h + 7 = 37 →h = 37 - 7 → h = 30 Radius = 7 m. Height = 30 m. We know, Volume of cylinder= πr²h $\sf{\:\:\:Volume\: of\: cylinder=\pi\:r^2h}$ $\implies\sf{Volume\: of\: cylinder=\frac{22}{7}\times\:7\times\:7\times\:30\:m^3}$ $\implies\sf{Volume\:of\: cylinder=4620\:m^3}$ Therefore, volume of the cylinder is 4620 m³. ____________________

34.

The sum of the height and radius of the solid cylinder is 37m.If the total surface area of the cylinder be1628msq,find it's volume

Answer»

ANSWER :

Volume of the cylinder is 4620 m³.

EXPLANATION :

GIVEN :-

SUM of height and radius of the solid cylinder = 37 m.
Total SURFACE area of the cylinder = 1628 m².

TO FIND :

Volume of cylinder.

SOLUTION :

Let the height of the cylinder be h m and the radius of the cylinder be r m.

Sum of height and radius= 37 m.

Total surface area = 1628 m².

We know,

TSA of cylinder = 2πr(h+r)

According to the question,

$\sf{h+r=37............(i)}$

$\sf{2\pi\:r(h+r)=1628............(ii)}$

✪Taking EQ(ii)✪

$\sf{2\pi\:r(h+r)=1628}$

$\implies{2\times\frac{22}{7}\times\:r\times\:37=1628\:\:[From\:eq(i)\:h+r=37]}$

$\implies\sf{r=1628\times\:\frac{1}{2}\times\:\frac{7}{22}\times\:\frac{1}{37}}$

$\implies\sf{r=7}$

† Putting r = 7 in eq .(i) †

h +r = 37

→h + 7 = 37

→h = 37 - 7

→ h = 30

Radius = 7 m.

Height = 30 m.

We know,

Volume of cylinder= πr²h

$\sf{\:\:\:Volume\: of\: cylinder=\pi\:r^2h}$

$\implies\sf{Volume\: of\: cylinder=\frac{22}{7}\times\:7\times\:7\times\:30\:m^3}$

$\implies\sf{Volume\:of\: cylinder=4620\:m^3}$

Therefore, volume of the cylinder is 4620 m³.

____________________

Discussion

35.	Anyone solve this question ppzz
Answer» TOTAL ANSWERS is 43 BITING of all

Discussion

36.	Software which provides most accurate GPS positioning is
Answer» GLOBAL Positioning System A GPS is a satellite based NAVIGATION system which helps us in navigating or provides INFORMATION about locations and time. It works in every weather. Segments of GPS :- Space Segment Control Segment User Segment Software's which provides most accurate positioning are :- GOOGLE Maps BackCountry Navigator HERE WeGo MapFactor Waze

36.

Software which provides most accurate GPS positioning is

Answer»

GLOBAL Positioning System

A GPS is a satellite based NAVIGATION system which helps us in navigating or provides INFORMATION about locations and time. It works in every weather.

Segments of GPS :-

Space Segment
Control Segment
User Segment

Software's which provides most accurate positioning are :-

GOOGLE Maps
BackCountry Navigator
HERE WeGo
MapFactor
Waze

Discussion

37.	4. Which of the symbols < = or > should replace the blank space?1) 7/8.... 9/12
Answer» HEYA here is UR ANSWER = 7/8=0.875 9/12=0.75 hence 7/8 > 9/12. hope it HELPS. ☆☆☆☆

37.

4. Which of the symbols < = or > should replace the blank space?1) 7/8.... 9/12

Answer»

HEYA here is UR ANSWER =

7/8=0.875

9/12=0.75

hence 7/8 > 9/12.

hope it HELPS.

☆☆☆☆

Discussion

38.	If I am to visit Michael kors and my twin visited bill gates, then I was given a summation of two numbers to get 1 and my twin was given 210+2a , what are my two numbers and the result of my twin
Answer» ANSWER: 1000000 Step-by-step explanation: 0.000099 * 1000000 = 99

38.

If I am to visit Michael kors and my twin visited bill gates, then I was given a summation of two numbers to get 1 and my twin was given 210+2a , what are my two numbers and the result of my twin

Answer»

ANSWER:

1000000

Step-by-step explanation:

0.000099 * 1000000 = 99

Discussion

39.	LCM of 44 and 66 and429
Answer» *<U>* HI DEAR☺☺ HOPE IT HELP U ☺✌✌ *PLZZZ* MAKE ME AS *BRAINLEST* ☺☺✌ ❤✔

39.

LCM of 44 and 66 and429

Answer»

<U> HI DEAR☺☺

HOPE IT HELP U ☺✌✌

PLZZZ MAKE ME AS BRAINLEST ☺☺✌

❤✔

Discussion

40.	What is round off 60013 the nearest 10
Answer» Answer: 60010 Step-by-step EXPLANATION: HOPE it HELPS..!!

40.

What is round off 60013 the nearest 10

Answer»

Answer:

60010

Step-by-step EXPLANATION:

HOPE it HELPS..!!

Discussion

41.	Show that 5-√3 is rational
Answer» Step-by-step explanation: *PLZZ* REFER TO THE ATTACHMENT FOR THE ANSWER..... #ANSWER *WITH* *QUALITY*...

41.

Show that 5-√3 is rational

Answer»

Step-by-step explanation:

PLZZ REFER TO THE ATTACHMENT FOR THE ANSWER.....

#ANSWER WITH QUALITY...

Discussion

42.	If log(a+b/2)=1/2(loga+logb) show that 1/2(a+b)=√ab
Answer» Step-by-step EXPLANATION: LOG(a+B/2) = 1/2 (log a + log b ) = 1/2 ( log AB) = (log √ab) 1/2(a+b) = √ab

42.

If log(a+b/2)=1/2(loga+logb) show that 1/2(a+b)=√ab

Answer»

Step-by-step EXPLANATION:

LOG(a+B/2) = 1/2 (log a + log b )

= 1/2 ( log AB)

= (log √ab)

1/2(a+b) = √ab

Discussion

43.	Find the HCF and L.c.F usingprime factorization methoda) 21, 91
Answer» Answer: 21)91(4 84 ----- 05)21(4 20 ____ 01)05(5 ( H.C.F=1) ____ 0 LCM IS 21,91 =21×91=1911

43.

Find the HCF and L.c.F usingprime factorization methoda) 21, 91

Answer»

Answer:

21)91(4

84

-----

05)21(4

20

____

01)05(5 ( H.C.F=1)

____

0

LCM IS 21,91 =21×91=1911

Discussion

44.	The area of a square is 1600meter square. Find the area of the rectangle whose breadth is the same as that of the square and length is 10m more than its breadth.
Answer» $\Large{\underline{\underline{\mathfrak{\bf{Question}}}}}$ The area of a SQUARE is 1600meter square. FIND the area of the rectangle whose breadth is the same as that of the square and length is 10M more than it's breadth. $\Large{\underline{\underline{\mathfrak{\bf{Solution}}}}}$ $\Large{\underline{\mathfrak{\bf{Given}}}}$ Area of square = 1600 m² Breadth of rectangle same as the side of square Length is 10 m more that it's breadth $\Large{\underline{\mathfrak{\bf{Find}}}}$ Area of rectangle $\Large{\underline{\underline{\mathfrak{\bf{Explanation}}}}}$ We know, $\small\boxed{\sf{\:Area_{square}\:=\:(Side)^2}} \\ \\ \\ \small\sf{\orange{\:\:\:\:\:\:\:\:\star{\:Area_{square}\:=\:1600}}} \\ \\ \\ \mapsto\sf{\:1600\:=\:(side)^2} \\ \\ \\ \mapsto\sf{\:(side)\:=\:\sqrt{1600}} \\ \\ \\ \mapsto\sf{\:Side\:=\:40\:m}$ By first condition:- ( Breadth of rectangle same as the side of square ) So, $\mapsto\sf{\:Breadth_{rectangle}\:=\:side_{square}} \\ \\ \\ \mapsto\sf{\:Breadth_{rectangle}\:=\:40\:m}$ Now, Second condition :- ( Length is 10 m more that it's breadth ) So, $\mapsto\sf{\:Length_{rectangle}\:=\:Breadth_{rectange}\:+\:10} \\ \\ \\ \mapsto\sf{\:Length_{rectangle}\:=\:40+10} \\ \\ \\ \mapsto\sf{\:Length_{rectangle}\:=\:50\:m}$ Again, $\small\boxed{\sf{\:Area_{rectangle}\:=\:(Length\times Breadth)}} \\ \\ \\ \mapsto\sf{\:Area_{rectangle}\:=\:(50\times 40)} \\ \\ \\ \mapsto\sf{\:Area_{rectangle}\:=\:2000\:m^2}$ $\Large{\underline{\mathfrak{\bf{Hence}}}}$ Area of rectangle = 2000 m²

44.

The area of a square is 1600meter square. Find the area of the rectangle whose breadth is the same as that of the square and length is 10m more than its breadth.

Answer»

$\Large{\underline{\underline{\mathfrak{\bf{Question}}}}}$

The area of a SQUARE is 1600meter square. FIND the area of the rectangle whose breadth is the same as that of the square and length is 10M more than it's breadth.

$\Large{\underline{\underline{\mathfrak{\bf{Solution}}}}}$

$\Large{\underline{\mathfrak{\bf{Given}}}}$

Area of square = 1600 m²
Breadth of rectangle same as the side of square
Length is 10 m more that it's breadth

$\Large{\underline{\mathfrak{\bf{Find}}}}$

Area of rectangle

$\Large{\underline{\underline{\mathfrak{\bf{Explanation}}}}}$

We know,

$\small\boxed{\sf{\:Area_{square}\:=\:(Side)^2}} \\ \\ \\ \small\sf{\orange{\:\:\:\:\:\:\:\:\star{\:Area_{square}\:=\:1600}}} \\ \\ \\ \mapsto\sf{\:1600\:=\:(side)^2} \\ \\ \\ \mapsto\sf{\:(side)\:=\:\sqrt{1600}} \\ \\ \\ \mapsto\sf{\:Side\:=\:40\:m}$

By first condition:-

( Breadth of rectangle same as the side of square )

So,

$\mapsto\sf{\:Breadth_{rectangle}\:=\:side_{square}} \\ \\ \\ \mapsto\sf{\:Breadth_{rectangle}\:=\:40\:m}$

Now, Second condition :-

( Length is 10 m more that it's breadth )

So,

$\mapsto\sf{\:Length_{rectangle}\:=\:Breadth_{rectange}\:+\:10} \\ \\ \\ \mapsto\sf{\:Length_{rectangle}\:=\:40+10} \\ \\ \\ \mapsto\sf{\:Length_{rectangle}\:=\:50\:m}$

Again,

$\small\boxed{\sf{\:Area_{rectangle}\:=\:(Length\times Breadth)}} \\ \\ \\ \mapsto\sf{\:Area_{rectangle}\:=\:(50\times 40)} \\ \\ \\ \mapsto\sf{\:Area_{rectangle}\:=\:2000\:m^2}$

$\Large{\underline{\mathfrak{\bf{Hence}}}}$

Area of rectangle = 2000 m²

Discussion

45.	For any positive integer n, use euclid's division lemma to prove that n^3- n is divisible by 6?
Answer» Answer: Expert Answer: Any positive integer is of the form 6m, 6m + 1, 6m + 2, 6m + 3, 6m + 4, 6m + 5 for some positive integer n. When n = 6m, n3 - n = (6m)3 - 6m = 216 m3 - 6m = 6m(36m2 - 1) = 6q, where q = m(36m2 -1) n3 - n is divisible by 6 When n = 6m + 1, n3 - n = n(N2 - 1) = n (n - 1) (n + 1) = (6m + 1) (6m) (6m + 2) = 6m(6m + 1) (6m + 2) = 6q, where q = m(6m + 1) (6m + 2) n3 - n is divisible by 6 When n = 6m + 2, n3 - n = n (n - 1) (n + 1) = (6m + 2) (6m + 1) (6m + 3) = (6m + 1) (36 m2 + 30m + 6) = 6m (36 m2 + 30m + 6) + 1 (36m2 + 30m + 6) = 6[m (36m2 + 30m + 6)] + 6 (6M2 + 5m + 1) = 6P + 6q, where p = m (36m2 + 30m + 6) q = 6m2 + 5m + 1 n3 - n is divisible by 6 When n = 6m + 3 n3 - n = (6m + 3)3 - (6m + 3) = (6m + 3) [(6m + 3)2 - 1] = 6m [6m + 3)2 - 1] + 3 [(6m + 3)2 - 1] = 6 [m [(6m + 3)2 - 1] + 3 [36m2 + 36m + 8] = 6 [m [(6m + 3)2 - 1] + 6 [18m2 + 18m + 4] = 6p + 3q, where p = m[(6m + 3)2 - 1] q = 18m2 + 18m + 4 n3 - n is divisible by 6 When n = 6m + 4 n3 - n = (6m + 4)3 - (6m + 4) = (6m + 4) [(6m + 4)2 - 1] = 6m [(6m + 4)2 - 1] + 4 [(6m + 4)2 - 1] = 6m [(6m + 4)2 - 1] + 4 [36m2 + 48M + 16 - 1] = 6m [(6m + 4)2 - 1] + 12 [12m2 + 16m + 5] = 6p + 6q, where p = m [(6m + 4)2 - 1] q = 2 (12 m2 + 16m + 5) n3 - n is divisible by 6 When n = 6m + 5 n3 - n = (6m + 5) [(6m + 5)2 - 1] = 6m [(6m + 5)2 - 1] + 5 [(6m + 5)2 - 1] = 6m [(6m + 5)2 - 1] + 5 [36m2 + 60m + 24] = 6p + 30q = 6 (p + 5q), where p = m [(6m + 5)2 - 1] q = 6m2 + 10m + 4 n3 - n is divisible by 6 Hence, n3 - n is divisible by 6, for any +ve integer n.

45.

For any positive integer n, use euclid's division lemma to prove that n^3- n is divisible by 6?

Answer»

Answer:

Expert Answer:

Any positive integer is of the form 6m, 6m + 1, 6m + 2, 6m + 3, 6m + 4, 6m + 5 for some positive integer n.

When n = 6m,

n3 - n = (6m)3 - 6m = 216 m3 - 6m

= 6m(36m2 - 1)

= 6q, where q = m(36m2 -1)

n3 - n is divisible by 6

When n = 6m + 1,

n3 - n = n(N2 - 1) = n (n - 1) (n + 1)

= (6m + 1) (6m) (6m + 2)

= 6m(6m + 1) (6m + 2)

= 6q, where q = m(6m + 1) (6m + 2)

n3 - n is divisible by 6

When n = 6m + 2,

n3 - n = n (n - 1) (n + 1)

= (6m + 2) (6m + 1) (6m + 3)

= (6m + 1) (36 m2 + 30m + 6)

= 6m (36 m2 + 30m + 6) + 1 (36m2 + 30m + 6)

= 6[m (36m2 + 30m + 6)] + 6 (6M2 + 5m + 1)

= 6P + 6q,

where p = m (36m2 + 30m + 6)

q = 6m2 + 5m + 1

n3 - n is divisible by 6

When n = 6m + 3

n3 - n = (6m + 3)3 - (6m + 3)

= (6m + 3) [(6m + 3)2 - 1]

= 6m [6m + 3)2 - 1] + 3 [(6m + 3)2 - 1]

= 6 [m [(6m + 3)2 - 1] + 3 [36m2 + 36m + 8]

= 6 [m [(6m + 3)2 - 1] + 6 [18m2 + 18m + 4]

= 6p + 3q,

where p = m[(6m + 3)2 - 1]

q = 18m2 + 18m + 4

n3 - n is divisible by 6

When n = 6m + 4

n3 - n = (6m + 4)3 - (6m + 4)

= (6m + 4) [(6m + 4)2 - 1]

= 6m [(6m + 4)2 - 1] + 4 [(6m + 4)2 - 1]

= 6m [(6m + 4)2 - 1] + 4 [36m2 + 48M + 16 - 1]

= 6m [(6m + 4)2 - 1] + 12 [12m2 + 16m + 5]

= 6p + 6q,

where p = m [(6m + 4)2 - 1]

q = 2 (12 m2 + 16m + 5)

n3 - n is divisible by 6

When n = 6m + 5

n3 - n = (6m + 5) [(6m + 5)2 - 1]

= 6m [(6m + 5)2 - 1] + 5 [(6m + 5)2 - 1]

= 6m [(6m + 5)2 - 1] + 5 [36m2 + 60m + 24]

= 6p + 30q

= 6 (p + 5q),

where p = m [(6m + 5)2 - 1]

q = 6m2 + 10m + 4

n3 - n is divisible by 6

Hence, n3 - n is divisible by 6, for any +ve integer n.

Discussion

46.	Wats d anhle Btwin d north and north-west direction
Answer» ANSWER: WATS d ANGLE Between the NORTH and north-west DIRECTION

46.

Wats d anhle Btwin d north and north-west direction

Answer»

ANSWER:

WATS d ANGLE Between the NORTH and north-west DIRECTION

Discussion

47.	Factorise the polynomial if given 4a square-4a+1
Answer» 4a²-4a+1 4a²-2a-2a+1 1( 4a²+1) -2(a-a)

47.

Factorise the polynomial if given 4a square-4a+1

Answer»

4a²-4a+1

4a²-2a-2a+1

1( 4a²+1) -2(a-a)

Discussion

48.	Compare the following in each of the following pairs of number, -4/9 and -3/7
Answer» Answer: MARK me as BRAINLIST Do FOLLOW on IG _immunity

48.

Compare the following in each of the following pairs of number, -4/9 and -3/7

Answer»

Answer:

MARK me as BRAINLIST

Do FOLLOW on IG _immunity

Discussion

49.	In abc isosceles triangle ab=ac . o is a point inside triangle angbao=60°,angoac=20°,angaco=10°find angaob=?
Answer» ANSWER: 30° is the answer

49.

In abc isosceles triangle ab=ac . o is a point inside triangle angbao=60°,angoac=20°,angaco=10°find angaob=?

Answer»

ANSWER:

30° is the answer

Discussion

50.	Capacity is not measured in
Answer» Answer: In measurement of capacity we will learn about the standard unit of capacity and volume. We know that the maximum quantity of a container or VESSEL can hold is CALLED its capacity. The capacity of a vessel is also called it’s the inner volume. We use the word volume as the amount of space taken up by a solid. If the mouth of the vessel is CLOSED, it is LIKE a solid. So the space taken by a closed mouth vessel will be called the outer volume of the container/vessel and the capacity of the vessel will be similar to the inner volume of the vessel. Liter is the standard unit of capacity and the smaller unit of capacity is milliliter. In short liter is written as ‘l’ and milliliter as ‘ml’. Liter (l) and milliliter (ml) are related to each other as: 1 liter = 1000 milliliter (1 l = 1000 ml). Different liquids (milk, kerosene oil, diesel, petrol etc.) are measured in liters. Different liquid medicines are measured in ml. There are some standard sized vessels or container of different shapes of one-liter capacity which are USED to measure liquids.

50.

Capacity is not measured in

Answer»

Answer:

In measurement of capacity we will learn about the standard unit of capacity and volume. We know that the maximum quantity of a container or VESSEL can hold is CALLED its capacity.

The capacity of a vessel is also called it’s the inner volume. We use the word volume as the amount of space taken up by a solid. If the mouth of the vessel is CLOSED, it is LIKE a solid. So the space taken by a closed mouth vessel will be called the outer volume of the container/vessel and the capacity of the vessel will be similar to the inner volume of the vessel.

Liter is the standard unit of capacity and the smaller unit of capacity is milliliter. In short liter is written as ‘l’ and milliliter as ‘ml’.

Liter (l) and milliliter (ml) are related to each other as:

1 liter = 1000 milliliter (1 l = 1000 ml).

Different liquids (milk, kerosene oil, diesel, petrol etc.) are measured in liters. Different liquid medicines are measured in ml.

There are some standard sized vessels or container of different shapes of one-liter capacity which are USED to measure liquids.

Discussion

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