332354 + Interview Questions in Secondary School in Math

1.	HCF AND LCM of following numbers by using fundamental theorem 1) 270,405 and315. 2) 377, 435 and 667
Answer» ANSWER: HI!!$ This is Shyamini... Step-by-step explanation: 1.270,405,315 270=23335 405=33335 315=3357 Hcf=335=45 Lcm=2333357=5670 2.377,435,667 377=1329 435=5329 667=23*29 Hcf=29 Lcm=130065. Hope this HELPS you!!!

1.

HCF AND LCM of following numbers by using fundamental theorem 1) 270,405 and315. 2) 377, 435 and 667

Answer»

ANSWER:

HI!!$ This is Shyamini...

Step-by-step explanation:

1.270,405,315

270=2*3*3*3*5

405=3*3*3*3*5

315=3*3*5*7

Hcf=3*3*5=45

Lcm=2*3*3*3*3*5*7=5670

2.377,435,667

377=13*29

435=5*3*29

667=23*29

Hcf=29

Lcm=130065.

Hope this HELPS you!!!

Discussion

2.	Simplify 2power2/3*2power1/5
Answer» Step-by-step explanation: 2 power2/3+1/5=2power13/15

2.

Simplify 2power2/3*2power1/5

Answer»

Step-by-step explanation:

2 power2/3+1/5=2power13/15

Discussion

3.	The 1quadratic polynomial whose sum amd product of zeros are-1 and 3
Answer» If this SOLUTION REALLY helps you Than plz Mark me as BRAINLIST And FOLLOW me I will follow u back

3.

The 1quadratic polynomial whose sum amd product of zeros are-1 and 3

Answer»

If this SOLUTION REALLY helps you

Than plz Mark me as BRAINLIST

And FOLLOW me

I will follow u back

Discussion

4.	Find hcf of 16,20,40 by long division method
Answer» Step-by-step explanation: 16/20=4 then the HCF of 16,20 is 4 4/40=4 so the TOTAL HCF of 16,20,40=4

4.

Find hcf of 16,20,40 by long division method

Answer»

Step-by-step explanation:

16/20=4

then the HCF of 16,20 is 4

4/40=4

so the TOTAL HCF of 16,20,40=4

Discussion

5.	Devi bought 7 skirts at x each n skirts at 12 each
Answer» Answer: 2pppppljft pandan NUNCHI RD at HD

5.

Devi bought 7 skirts at x each n skirts at 12 each

Answer»

Answer:

2pppppljft pandan NUNCHI RD at HD

Discussion

6.	20×4=1030×13=1210×12=340×11=? Iska answer kya hoga
Answer» ANSWER: SORRY I THINK the answer will be MUST 14

6.

20×4=1030×13=1210×12=340×11=? Iska answer kya hoga

Answer»

ANSWER:

SORRY I THINK the answer will be MUST 14

Discussion

7.	If 62 root = 5x root find X
Answer» 62 ROOT = 5x root Squaring both SIDES, we get 62 = 5x 62 /5 = x 12.4 = x

7.

If 62 root = 5x root find X

Answer»

62 ROOT = 5x root

Squaring both SIDES, we get

62 = 5x

62 /5 = x

12.4 = x

Discussion

8.	Is 2.111...... a rational number?
Answer» ANSWER: no it is not POSSIBLE because it is not a RATIONAL NUMBER

8.

Is 2.111...... a rational number?

Answer»

ANSWER:

no it is not POSSIBLE because it is not a RATIONAL NUMBER

Discussion

9.	If comes a person inspite of 70kg person then average weight of 15person increased 2kg then the age of new person who comes?
Answer» Answer: tub of his at oh uh day or two to the NEXT day or so much for ever and ever and Amy hahianavh in a few minutes and then we can get the next day or two of the next day or two of the next day or two of the day and I have to be in a d you h GV CC 58942)/360'R ok hdtobf

9.

If comes a person inspite of 70kg person then average weight of 15person increased 2kg then the age of new person who comes?

Answer»

Answer:

tub of his at oh uh day or two to the NEXT day or so much for ever and ever and Amy hahianavh in a few minutes and then we can get the next day or two of the next day or two of the next day or two of the day and I have to be in a d you h GV CC 58942)/360'R ok hdtobf

Discussion

10.	Rationalise the denominator of 1/ 7+4√3
Answer» $\frac{1}{(7+4\sqrt{3})}\\= \frac{(7-4\sqrt{3})}{(7+4\sqrt{3})(7-4\sqrt{3})}\\ = \frac{(7-4\sqrt{3})}{7^{2}-(4\sqrt{3})^{2}}\\ = \frac{(7-4\sqrt{3})}{49- 48}\\ = 7 - 4\sqrt{3}$ THEREFORE., $\red{ \frac{1}{(7+4\sqrt{3})}}\green{ =7 - 4\sqrt{3}}$ •••♪

10.

Rationalise the denominator of 1/ 7+4√3

Answer»

$\frac{1}{(7+4\sqrt{3})}\\= \frac{(7-4\sqrt{3})}{(7+4\sqrt{3})(7-4\sqrt{3})}\\ = \frac{(7-4\sqrt{3})}{7^{2}-(4\sqrt{3})^{2}}\\ = \frac{(7-4\sqrt{3})}{49- 48}\\ = 7 - 4\sqrt{3}$

THEREFORE.,

$\red{ \frac{1}{(7+4\sqrt{3})}}\green{ =7 - 4\sqrt{3}}$

•••♪

Discussion

11.	Prove that sin²30°+cos²30°=1
Answer» Answer: 1 STEP-by-step EXPLANATION: step OBY step OK take 30 as common

11.

Prove that sin²30°+cos²30°=1

Answer»

Answer:

1

STEP-by-step EXPLANATION:

step OBY step OK take 30 as common

Discussion

12.	If sin a = 1/2 and cos b = 1/2, then find a+b ?
Answer» QUESTION : $\sf{If\:sin\:a=\frac{1}{2}\:and\:cos\:<klux>B</klux>=\frac{1}{2},}$ $\sf{Then\: <klux>FIND</klux>\:the\: value\:of\:a+b.}$ SOLUTION : $\sf{\:\:\:sin\:a=\frac{1}{2}}$ $\sf{We\: know,\:sin30=\frac{1}{2}}$ $\implies\sf{sin\:a=sin\:30}$ $\implies\sf{a\:=\:30}$ $\sf{\:\:\:cos\:b=\frac{1}{2}}$ $\sf{We\: know,\:cos60=\frac{1}{2}}$ $\implies\sf{cos\:b=cos\:60}$ $\implies\sf{b\:=\:60}$ ✪ Now find the value of (a+b)✪ $\sf{a+b}$ † Putting a = 30 and b = 60 † $\sf{=(30+60)}$ $\sf{=90}$ Hence , the value of (a+b) is 90°. _______________________ ★MORE INFORMATION : Some values of trigonometry:- sin30° = 1/2 sin45° = 1/√2 sin60° = √3/2 sin90° = 1 cos30° = √3/2 cos45° = 1/√2 cos60° = 1/2 cos90° = 0 tan30° = 1/√3 tan45° = 1 tan60° = √3 ________________________

12.

If sin a = 1/2 and cos b = 1/2, then find a+b ?

Answer»

QUESTION :

$\sf{If\:sin\:a=\frac{1}{2}\:and\:cos\:<klux>B</klux>=\frac{1}{2},}$

$\sf{Then\: <klux>FIND</klux>\:the\: value\:of\:a+b.}$

SOLUTION :

$\sf{\:\:\:sin\:a=\frac{1}{2}}$

$\sf{We\: know,\:sin30=\frac{1}{2}}$

$\implies\sf{sin\:a=sin\:30}$

$\implies\sf{a\:=\:30}$

$\sf{\:\:\:cos\:b=\frac{1}{2}}$

$\sf{We\: know,\:cos60=\frac{1}{2}}$

$\implies\sf{cos\:b=cos\:60}$

$\implies\sf{b\:=\:60}$

✪ Now find the value of (a+b)✪

$\sf{a+b}$

† Putting a = 30 and b = 60 †

$\sf{=(30+60)}$

$\sf{=90}$

Hence , the value of (a+b) is 90°.

_______________________

★MORE INFORMATION :

Some values of trigonometry:-

sin30° = 1/2
sin45° = 1/√2
sin60° = √3/2
sin90° = 1
cos30° = √3/2
cos45° = 1/√2
cos60° = 1/2
cos90° = 0
tan30° = 1/√3
tan45° = 1
tan60° = √3

________________________

Discussion

13.	Select the greater of the two : 6 and 2
Answer» Answer: 6 is the greater of 6 and 2 Step-by-step explanation: MARK IT AS BRAINLEST ANSWER

13.

Select the greater of the two : 6 and 2

Answer»

Answer:

6 is the greater of 6 and 2

Step-by-step explanation:

MARK IT AS BRAINLEST ANSWER

Discussion

14.	Replace * with the appropriate digit
Answer» Where is the QUESTION??? *#FOLLOWME ❤️*

14.

Replace * with the appropriate digit

Answer»

Where is the QUESTION???

#FOLLOWME ❤️

Discussion

15.	Find five rational number between 1/3 and 1/2 by two methods
Answer» Answer: 3×3 =9 5×2=10 2×3=6. 3×2=6

15.

Find five rational number between 1/3 and 1/2 by two methods

Answer»

Answer:

3×3 =9 5×2=10

2×3=6. 3×2=6

Discussion

16.	A+b+c=0 b+c)2/bc+c+a)2/ca+a+b)2/ab=3
Answer» ANSWER: PLEASE ASK the QUESTION NEATLY...........

16.

A+b+c=0 b+c)2/bc+c+a)2/ca+a+b)2/ab=3

Answer»

ANSWER:

PLEASE ASK the QUESTION NEATLY...........

Discussion

17.	How many times is 18/11 contained in 36
Answer» Answer: 22 times Step-by-step explanation: 18/11 ×22 = 36 hope it is HELPFUL PLS follow me and mark as BRAINLIST

17.

How many times is 18/11 contained in 36

Answer»

Answer:

22 times

Step-by-step explanation:

18/11 ×22 = 36

hope it is HELPFUL

PLS follow me and mark as BRAINLIST

Discussion

18.	What number should be added to subtract for -3/4to get -1/3
Answer» Answer: 5/12 Should've be ADDED.

18.

What number should be added to subtract for -3/4to get -1/3

Answer»

Answer:

5/12 Should've be ADDED.

Discussion

19.	The angles of a triangle are in the ratio 5:3:7. The triangle is what kind of triangle
Answer» Answer: scalar TRIANGLE is formed Step-by-step explanation: PLEASE FOLLOW me and MARK me as BRAINLIEST please

19.

The angles of a triangle are in the ratio 5:3:7. The triangle is what kind of triangle

Answer»

Answer:

scalar TRIANGLE is formed

Step-by-step explanation:

PLEASE FOLLOW me and MARK me as BRAINLIEST please

Discussion

20.	The change in the angle of elevation as we move away from the object
Answer» ANSWER: when we are far AWAY from an OBJECT ANGLE of ELEVATION decreases

20.

The change in the angle of elevation as we move away from the object

Answer»

ANSWER:

when we are far AWAY from an OBJECT ANGLE of ELEVATION decreases

Discussion

21.	3.02,4.75,1.63 are example of which type of decimal
Answer» ANSWER: TERMINATING DECIMAL no. TYPES

21.

3.02,4.75,1.63 are example of which type of decimal

Answer»

ANSWER:

TERMINATING DECIMAL no. TYPES

Discussion

22.	What is the measure in degrees of the angle A = 21π/5? *2 pointsa) 756°b) 710°c) 36°d) 420°
Answer» Given: The measure of the ANGLE A = 21π/5 To FIND: The measure of the given angle in Degrees. Solution: 1) To change any of the radian ANGLES in the degree we just multiply the given angle with 180°/π. 2) In the QUESTION the measurement of the angle is given as: 21π/5 21π/5 × 180/π 756° So the correct option is (A) 756° The measure of the given angle in Degrees is 756°

22.

What is the measure in degrees of the angle A = 21π/5? *2 pointsa) 756°b) 710°c) 36°d) 420°

Answer»

Given:

The measure of the ANGLE A = 21π/5

To FIND:

The measure of the given angle in Degrees.

Solution:

1) To change any of the radian ANGLES in the degree we just multiply the given angle with 180°/π.

2) In the QUESTION the measurement of the angle is given as:

21π/5

21π/5 × 180/π

756°

So the correct option is (A) 756°

The measure of the given angle in Degrees is 756°

Discussion

23.	Evaluate the following 4.4/2
Answer» Answer: 2.2 Step-by-step explanation: 4.4/2 = 2.2 hope it is HELPFUL PLS FOLLOW me and MARK as brainlist

23.

Evaluate the following 4.4/2

Answer»

Answer:

2.2

Step-by-step explanation:

4.4/2 = 2.2

hope it is HELPFUL

PLS FOLLOW me and MARK as brainlist

Discussion

24.	19. Seeing the poor and underprivileged children in theneighbourhood, the residents of Jamnagar decide to distribute 80table fans during summer. The cost of one fan is Rs 650.47. Find the total cost of fans
Answer» Given : The residents of Jamnagar DECIDED to distribute 80 table fans during summer to the poor and underprivileged children. To Find : The TOTAL cost of fans. Solution : The cost of one fan = 650.47 To CALCULATE the total cost we will multiply the cost of one fan with the total NUMBER of fans. Cost of one fan × total number of fans to distribute = total cost 650.47 × 80 = ₹52,037.60 The total cost of 80 fans would be ₹52,037.60.

24.

19. Seeing the poor and underprivileged children in theneighbourhood, the residents of Jamnagar decide to distribute 80table fans during summer. The cost of one fan is Rs 650.47. Find the total cost of fans

Answer»

Given :

The residents of Jamnagar DECIDED to distribute 80 table fans during summer to the poor and underprivileged children.

To Find :

The TOTAL cost of fans.

Solution :

The cost of one fan = 650.47

To CALCULATE the total cost we will multiply the cost of one fan with the total NUMBER of fans.

Cost of one fan × total number of fans to distribute = total cost

650.47 × 80 = ₹52,037.60

The total cost of 80 fans would be ₹52,037.60.

Discussion

25.	.Find the product of (2a2-3b+5) and (a2+2b -3).
Answer» ANSWER: is the SOLUTION in the picture just multiply EVERY TERM in ONE with other

25.

.Find the product of (2a2-3b+5) and (a2+2b -3).

Answer»

ANSWER:

is the SOLUTION in the picture just multiply EVERY TERM in ONE with other

Discussion

26.	It takes 4 people to cut a hedge in an hour how long will it take 3 people to do it. in minutes
Answer» ANSWER: 12minute Step-by-step EXPLANATION: i HOPE answer is USEFUL

26.

It takes 4 people to cut a hedge in an hour how long will it take 3 people to do it. in minutes

Answer»

ANSWER:

12minute

Step-by-step EXPLANATION:

i HOPE answer is USEFUL

Discussion

27.	Fill in the blanks (-20)÷ ___=4
Answer» ANSWER: -5 will be your answer........ XD

27.

Fill in the blanks (-20)÷ ___=4

Answer»

ANSWER:

-5 will be your answer........ XD

Discussion

28.	Find all the number between 10 and 100 using the digit 4, 6 and 8 if the digit can be repeated.
Answer» Step-by-step explanation: total numbers = 3×3=9 44, 46, 48, 64, 66, 68. ,84. ,86. ,88 are the numbers .

28.

Find all the number between 10 and 100 using the digit 4, 6 and 8 if the digit can be repeated.

Answer»

Step-by-step explanation:

total numbers = 3×3=9

44, 46, 48, 64, 66, 68. ,84. ,86. ,88 are the numbers .

Discussion

29.	a card is drawn from a well shuffled pack of 52 playing cards find the probability that the card drawn is red and a king
Answer» Answer: No of kings in a pack of cards= 4 No of red kings in a pack= 2 No of cards=52 Probability = 2/4 × 52 = 1/2× 52 = 26 Hope you GOT your answer. PLEASE MARK MY ANSWER AS BRAINLIEST.

29.

a card is drawn from a well shuffled pack of 52 playing cards find the probability that the card drawn is red and a king

Answer»

Answer:

No of kings in a pack of cards= 4

No of red kings in a pack= 2

No of cards=52

Probability = 2/4 × 52

= 1/2× 52

= 26

Hope you GOT your answer.

PLEASE MARK MY ANSWER AS BRAINLIEST.

Discussion

30.	Please tell me the answer of this question [step by step explanation]
Answer» Answer: a)628m b) 200m Step-by-step explanation: a) distance travelled : r=d/2 r=200/2=100 circumfrence=2πr 2x3.14x100 =628m b) 1min 10sec=70sec distance travelled in 20 sec=628 distance travelled in 70 sec=2198 total rounds =2198/628=3.5 or 3 and 1/2 round therefore DISPLACEMENT would be DIAMETER of the grond =200m (displacement is the SHORTEST route from the point to initial position)

30.

Please tell me the answer of this question [step by step explanation]

Answer»

Answer:

a)628m

b) 200m

Step-by-step explanation:

a) distance travelled :

r=d/2

r=200/2=100

circumfrence=2πr

2x3.14x100

=628m

b) 1min 10sec=70sec

distance travelled in 20 sec=628

distance travelled in 70 sec=2198

total rounds =2198/628=3.5

or 3 and 1/2 round

therefore DISPLACEMENT would be DIAMETER of the grond =200m

(displacement is the SHORTEST route from the point to initial position)

Discussion

31.	Please help me I will mark you as the brainliest
Answer» PLZZ MARK as brainliest hope it HELP you

31.

Please help me I will mark you as the brainliest

Answer»

PLZZ MARK as brainliest

hope it HELP you

Discussion

32.	Coefficients for the expression 5x + 13x – 5
Answer» Answer: 18 Step-by-step explanation: 5x +13X -5 =18x-5 18 is COEFFICIENT of X

32.

Coefficients for the expression 5x + 13x – 5

Answer»

Answer:

18

Step-by-step explanation:

5x +13X -5

=18x-5

18 is COEFFICIENT of X

Discussion

33.	It is word problem from (Algebraic Operation chapter)if you don't know plz don't write rubish answer and answer me fast plz
Answer» Answer: The answer to this question is = 2X - 2 Step-by-step explanation: My age = x Pallabi's age = x - 2 The sum of their AGES = x + x - 2 = 2x - 2 I HOPE IT WILL HELP YOU.

33.

It is word problem from (Algebraic Operation chapter)if you don't know plz don't write rubish answer and answer me fast plz

Answer»

Answer:

The answer to this question is = 2X - 2

Step-by-step explanation:

My age = x

Pallabi's age = x - 2

The sum of their AGES = x + x - 2

= 2x - 2

I HOPE IT WILL HELP YOU.

Discussion

34.	The side of a equalatar triangle is12 cm find its area
Answer» AREA = ROOT 3/4×12×12=36 root 3

Discussion

35.	Write in ordinary form 8.14×10−8
Answer» ANSWER: 8.14*10=81.4 I HOPE it is CORRECT answer FOLLOW me

35.

Write in ordinary form 8.14×10−8

Answer»

ANSWER:

8.14*10=81.4

I HOPE it is CORRECT answer

FOLLOW me

Discussion

36.	Simplify: [ - 42 - {24 =( - 15 + 3 ) + (7)}- (-30) + (-6)][3]
Answer» -42-24= -66 (-15+3)+(7)- (-30)+(6)(3) =53

36.

Simplify: [ - 42 - {24 =( - 15 + 3 ) + (7)}- (-30) + (-6)][3]

Answer»

-42-24= -66

(-15+3)+(7)- (-30)+(6)(3)

=53

Discussion

37.	The area of triangle having vertices (a, b+c), (b, c+a) and (c, a+b) is
Answer» ANSWER: a+b+c+d Step-by-step EXPLANATION:

37.

The area of triangle having vertices (a, b+c), (b, c+a) and (c, a+b) is

Answer»

ANSWER:

a+b+c+d

Step-by-step EXPLANATION:

Discussion

38.	Solve : y dx + x dy + xy(y dx - x dy) =0
Answer» ANSWER: HOPE you UNDERSTAND that PROBLEM

38.

Solve : y dx + x dy + xy(y dx - x dy) =0

Answer»

ANSWER:

HOPE you UNDERSTAND that PROBLEM

Discussion

39.	If 1 is a zero of polynomial p(x) = ax2 – 3(a -1) x -1, then find thevalue of a.
Answer» HOPE IT HELPS YOU.................. .......

Discussion

40.	Who gives the correct answer with correct steps will be given Branliest tag and u will be followed.
Answer» Step-by-step EXPLANATION: X= 7-4√3 x+1/X 7-4√3+1/7-4√3 7-4√3×7-4√3+1 / 7-4√3 9×3/3√3 3√3. *the* *final answer* is 3√3. *hope it will HELP you plzz* *Mark* it as brainliest

40.

Who gives the correct answer with correct steps will be given Branliest tag and u will be followed.

Answer»

Step-by-step EXPLANATION:

X= 7-4√3

x+1/X

7-4√3+1/7-4√3

7-4√3×7-4√3+1 / 7-4√3

9×3/3√3

3√3.

the final answer is 3√3.

hope it will HELP you

plzz Mark it as brainliest

Discussion

41.	Factorise using identities 20a2b -25a3b
Answer» Step-by-step EXPLANATION: i HOPE ANSWER USEFUL to you

41.

Factorise using identities 20a2b -25a3b

Answer»

Step-by-step EXPLANATION:

i HOPE ANSWER USEFUL to you

Discussion

42.	Prove that sin²theta/cos theta+cos theta = sec theta
Answer» HOPE this HELPS you Mark as BRAINLIEST answer please

42.

Prove that sin²theta/cos theta+cos theta = sec theta

Answer»

HOPE this HELPS you

Mark as BRAINLIEST answer please

Discussion

43.	2 minus root 3 upon root 3 and root 3 equal to 1.732
Answer» ANSWER: HEY mate your answer is here Step-by-step explanation: 2-√3/√3 = 2-1.732/1.732 --> 0.268/1.732 --> 0.1547 --> 0.155 Hope it HELPS u Mark me as Brainliest !!! FOLLOW me !!!

43.

2 minus root 3 upon root 3 and root 3 equal to 1.732

Answer»

ANSWER:

HEY mate your answer is here

Step-by-step explanation:

2-√3/√3 = 2-1.732/1.732

--> 0.268/1.732

--> 0.1547

--> 0.155

Hope it HELPS u

Mark me as Brainliest !!!

FOLLOW me !!!

Discussion

44.	.Findtheproductof(2a2 -3b+5)and(a2+2b -3).
Answer» Step-by-step explanation: too EASY math SOLVE it at SECONDS with TRICK ALSO but I do not do so

44.

.Findtheproductof(2a2 -3b+5)and(a2+2b -3).

Answer»

Step-by-step explanation:

too EASY math SOLVE it at SECONDS with TRICK ALSO but I do not do so

Discussion

45.	The sum of 3 terms in G.P. is 21 and sum of their squares is 189. Find thenumbers
Answer» Answer: 3,6,9 Step-by-step EXPLANATION: First, based on the given INFORMATION, we have: $a+ax+ax^{2} =a(1+x+x^{2} )$ = 21 (1) $a^{2}+a^{2}x^{2}+a^{2}x^{4}=a^{2}(1+x^{2}+x^{4})$ = 189 (2) SECOND, square the (1) equation, we have: $a^{2}(x^{4}+2x^{3}+2x^{2}+x^{2}+2x+1)=441$ ⇔ $a^{2}(1+x^{2}+x^{4})+a^{2}(2x^{3}+2x^{2}+2x)=441$ ⇔ $a^{2}(1+x^{2}+x^{4})+2a^{2}x(x^{2}+x+1)=441$ (3) Third, substitute (1),(2) equation into (3) equation, we have: $189+2ax.21=441$ ⇒ $ax=6$ ⇒ $a=\frac{6}{x}$ Forth, substitute $a=\frac{6}{x}$ into (1) equation, we have: $\frac{6}{x}(1+x+x^{2})=21$ ⇔ $6-15x+6x^{2}=21$ ⇒ $x=2,x=\frac{1}{2}$ Finally, use the solved x to find a by $ax=6$ THEREFORE, $a=3,a=12$ Thus, 3 numbers are 3,6,12

45.

The sum of 3 terms in G.P. is 21 and sum of their squares is 189. Find thenumbers

Answer»

Answer:

3,6,9

Step-by-step EXPLANATION:

First, based on the given INFORMATION, we have:

$a+ax+ax^{2} =a(1+x+x^{2} )$ = 21 (1)

$a^{2}+a^{2}x^{2}+a^{2}x^{4}=a^{2}(1+x^{2}+x^{4})$ = 189 (2)

SECOND, square the (1) equation, we have:

$a^{2}(x^{4}+2x^{3}+2x^{2}+x^{2}+2x+1)=441$

⇔ $a^{2}(1+x^{2}+x^{4})+a^{2}(2x^{3}+2x^{2}+2x)=441$

⇔ $a^{2}(1+x^{2}+x^{4})+2a^{2}x(x^{2}+x+1)=441$ (3)

Third, substitute (1),(2) equation into (3) equation, we have:

$189+2ax.21=441$ ⇒ $ax=6$ ⇒ $a=\frac{6}{x}$

Forth, substitute $a=\frac{6}{x}$ into (1) equation, we have:

$\frac{6}{x}(1+x+x^{2})=21$ ⇔ $6-15x+6x^{2}=21$ ⇒ $x=2,x=\frac{1}{2}$

Finally, use the solved x to find a by $ax=6$

THEREFORE, $a=3,a=12$

Thus, 3 numbers are 3,6,12

Discussion

46.	The product of two numbers is 1600 if one of the number is 25 times the other find the number
Answer» ANSWER: Step-by-step explanation: LET one of the numbers be x and the other be y xy = 1600 x = 25y hence, x(25x) = 1600 25x^2 = 1600 x^2 = 64 ∴x = ±8 ∴y = ±200 hope you are helped

46.

The product of two numbers is 1600 if one of the number is 25 times the other find the number

Answer»

ANSWER:

Step-by-step explanation:

LET one of the numbers be x and the other be y

xy = 1600

x = 25y

hence,

x(25x) = 1600

25x^2 = 1600

x^2 = 64

∴x = ±8

∴y = ±200

hope you are helped

Discussion

47.	How to solve log reciprocals
Answer» ANSWER: so easy Step-by-step EXPLANATION:

47.

How to solve log reciprocals

Answer»

ANSWER:

so easy

Step-by-step EXPLANATION:

Discussion

48.	Solve the equations:- x/2 - 1/5 = x/3 + 1/4
Answer» ANSWER: X in (-OO:+oo) x/2-(1/5) = x/3+1/4 // - x/3+1/4 x/2-(x/3)-(1/5)-(1/4) = 0 x/2-(x/3)-1/5-1/4 = 0 1/6x-9/20 = 0 // + 9/20 1/6x = 9/20 // : 1/6 x = 9/20/1/6 x = 27/10 x = 27/10

48.

Solve the equations:- x/2 - 1/5 = x/3 + 1/4

Answer»

ANSWER:

X in (-OO:+oo)

x/2-(1/5) = x/3+1/4 // - x/3+1/4

x/2-(x/3)-(1/5)-(1/4) = 0

x/2-(x/3)-1/5-1/4 = 0

1/6*x-9/20 = 0 // + 9/20

1/6*x = 9/20 // : 1/6

x = 9/20/1/6

x = 27/10

Discussion

49.	[ ] + [ ] = 16+ +[ ] - [ ] = 12\|\| \|\|26 16
Answer» ANSWER: bhai question wrong he [8]+[8]=16 +. +. [18]-[8]=10 \|\|. \|\|. 26. 16 please FOLLOW me and mark me as brainliest please bhai please

49.

[ ] + [ ] = 16+ +[ ] - [ ] = 12|| ||26 16

Answer»

ANSWER:

bhai question wrong he

[8]+[8]=16

+. +.

[18]-[8]=10

||. ||.

26. 16

please FOLLOW me and mark me as brainliest please bhai please

Discussion

50.	she uses 5 boxes to make a tower with a height of 115cm. she puts 2 more box on the pile. what is the height of the 7 boxes now.
Answer» Answer: let the side LENGTH of each cube be x 5x=115 (SINCE the 5 boxes are placed one above the other) x=23 therefore for 7 boxes 7*23=161cm Please mark it as BRAINLIEST answer if you like the answer and follow me ☺️☺️

50.

she uses 5 boxes to make a tower with a height of 115cm. she puts 2 more box on the pile. what is the height of the 7 boxes now.

Answer»

Answer:

let the side LENGTH of each cube be x

5x=115 (SINCE the 5 boxes are placed one above the other)

x=23

therefore for 7 boxes

7*23=161cm

Please mark it as BRAINLIEST answer if you like the answer and follow me ☺️☺️

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