332354 + Interview Questions in Secondary School in Math

1.	Temperature of a room at midnight is 4 degree celsius. the room temperature increase at the rate of 2 degree celsius per hour. find the temperature at 4a.m.and 12 noonPlease answer step to step
Answer» ANSWER: at 4A.M it was 12degrees. at 12NOON it was 38degrees

1.

Temperature of a room at midnight is 4 degree celsius. the room temperature increase at the rate of 2 degree celsius per hour. find the temperature at 4a.m.and 12 noonPlease answer step to step

Answer»

ANSWER:

at 4A.M it was 12degrees. at 12NOON it was 38degrees

Discussion

2.	If p2x2 + (p2 + q2)x + q2 = 0 has equal roots, then p2– q2 is equal to :(a) – 2q² (b) 2q² (c) 0 (d) -1
Answer» Answer: C) 0 Step-by-step explanation: Equal ROOTS BASICALLY MEANS Discriminant D=0 This implies b^2-4ac=0 Here, b=p^2+q^2 a=p^2 c=q^2 (p^2+q^2)^2=4(p^2)(q^2) On solving, p^2-q^2=0 Thank U

2.

If p2x2 + (p2 + q2)x + q2 = 0 has equal roots, then p2– q2 is equal to :(a) – 2q² (b) 2q² (c) 0 (d) -1

Answer»

Answer:

C) 0

Step-by-step explanation:

Equal ROOTS BASICALLY MEANS Discriminant D=0

This implies b^2-4ac=0

Here, b=p^2+q^2

a=p^2

c=q^2

(p^2+q^2)^2=4(p^2)(q^2)

On solving, p^2-q^2=0

Thank U

Discussion

3.	The distance between the points (sin90 degrees,0) and (0,cos 30 degrees)
Answer» Step-by-step EXPLANATION: √(0-1)^2+(√3/2-0)^2 3/4 is the ANSWER

3.

The distance between the points (sin90 degrees,0) and (0,cos 30 degrees)

Answer»

Step-by-step EXPLANATION:

√(0-1)^2+(√3/2-0)^2

3/4 is the ANSWER

Discussion

4.	If a+b+c=0 and \|a\|=3 \|b\|=4 and \|c\|=37 then angle between a and b is
Answer» ANSWER: from which LESSON this QUESTION I s

4.

If a+b+c=0 and |a|=3 |b|=4 and |c|=37 then angle between a and b is

Answer»

ANSWER:

from which LESSON this QUESTION I s

Discussion

5.	Insert five rational numbers between -3/2 and -1/2
Answer» ANSWER: FIVE RATIONAL NUMBERS are GIVEN

5.

Insert five rational numbers between -3/2 and -1/2

Answer»

ANSWER:

FIVE RATIONAL NUMBERS are GIVEN

Discussion

6.	The mass is constant at all places but the weight ...........from place to place
Answer» ANSWER: Varies. The MASS is constant whereas the weight is a FORCE that DEPENDS on the acceleration DUE to gravitational force.

6.

The mass is constant at all places but the weight ...........from place to place

Answer»

ANSWER:

Varies.

The MASS is constant whereas the weight is a FORCE that DEPENDS on the acceleration DUE to gravitational force.

Discussion

7.	Prove that product of two consecutive integers is positive when divided by 2
Answer» $\huge{\bf{\underline{\red{Solution :}}}}$ ⇒Suppose the two consecutive positive integers be z and (z +1) Now ACCORDING to Question : ⇒Products of two consecutive positive integers = z(z +1) = $\bold{z^{2} + z}$ $\bf{\boxed{\bold{ Case - i) \ z \ is \ even \ number }}}$ Suppose z = 2k $\implies \bold{ z^{2} + z }$ $\implies \bold{ (2k)^{2} + 2k}$ $\implies \bold{4k^{2} + 2k}$ $\implies \bold{2k(2k + 1)}$ Therefore , the PRODUCT is DIVISIBLE by 2 $\bf{\bold{\red{Case - ii) \ z \ is \ odd \ number}}}$ Suppose z = 2k + 1 $\implies \bold{z^{2} + z }$ $\implies \bold{(2k + 1)^{2} + (2k + 1)}$ $\implies \bold{4k^{2} + 4k + 1 + 2k + 1}$ $\implies \bold{4k^{2} + 6k + 2}$ $\implies \bold{2(2k^{2} + 3k + 1)}$ Therefore , the product is divisible by 2 ( From both Condition the proved that the product of two consecutive integers is positive when DIVIDED by 2) $\rule{200}2$

7.

Prove that product of two consecutive integers is positive when divided by 2

Answer»

$\huge{\bf{\underline{\red{Solution :}}}}$

⇒Suppose the two consecutive positive integers be z and (z +1)

Now ACCORDING to Question :

⇒Products of two consecutive positive integers = z(z +1) = $\bold{z^{2} + z}$

$\bf{\boxed{\bold{ Case - i) \ z \ is \ even \ number }}}$

Suppose z = 2k

$\implies \bold{ z^{2} + z }$

$\implies \bold{ (2k)^{2} + 2k}$

$\implies \bold{4k^{2} + 2k}$

$\implies \bold{2k(2k + 1)}$

Therefore , the PRODUCT is DIVISIBLE by 2

$\bf{\bold{\red{Case - ii) \ z \ is \ odd \ number}}}$

Suppose z = 2k + 1

$\implies \bold{z^{2} + z }$

$\implies \bold{(2k + 1)^{2} + (2k + 1)}$

$\implies \bold{4k^{2} + 4k + 1 + 2k + 1}$

$\implies \bold{4k^{2} + 6k + 2}$

$\implies \bold{2(2k^{2} + 3k + 1)}$

Therefore , the product is divisible by 2

( From both Condition the proved that the product of two consecutive integers is positive when DIVIDED by 2)

$\rule{200}2$

Discussion

8.	(X + Y) (X - Y) (X^2 + Y^2)
Answer» Step-by-step EXPLANATION: (x+y)(x-y)(x^2+y^2) (x^2-y^2)(x^2+y^2) x^4--y^4

8.

(X + Y) (X - Y) (X^2 + Y^2)

Answer»

Step-by-step EXPLANATION:

(x+y)(x-y)(x^2+y^2)

(x^2-y^2)(x^2+y^2)

x^4--y^4

Discussion

9.	What Are Steps To Draw A Triangle ABC With AB = 6cm, AC = 8cm
Answer» ⠀⠀ıllıllı uoᴉʇnloS ıllıllı $\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$ Following are the steps to be followed for the construction of triangle ABC: (a) Draw a line segment AB = 6cm (B) Ax is the ray that NEEDS to be passed from A such that angle BAX is equal to 50 degrees (c) To draw an ARC on Ax, consider A as a vertex and 8cm as the RADIUS (d) C is the point that is obtained on Ax (e) Join BC (f) ABC is the required triangle. $\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$

9.

What Are Steps To Draw A Triangle ABC With AB = 6cm, AC = 8cm

Answer»

⠀⠀ıllıllı uoᴉʇnloS ıllıllı

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$

Following are the steps to be followed for the construction of triangle ABC:

(a) Draw a line segment AB = 6cm

(B) Ax is the ray that NEEDS to be passed from A such that angle BAX is equal to 50 degrees

(c) To draw an ARC on Ax, consider A as a vertex and 8cm as the RADIUS

(d) C is the point that is obtained on Ax

(e) Join BC

(f) ABC is the required triangle.

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$

Discussion

10.	Write 3rational number greater than -5 with denominator
Answer» Answer: the 3 RATIONAL number greater than -5 with denominator are.......-4/2,1/2,5/3.........

10.

Write 3rational number greater than -5 with denominator

Answer»

Answer:

the 3 RATIONAL number greater than -5 with denominator are.......-4/2,1/2,5/3.........

Discussion

11.	Find 10 rational number b/w 1/2 1/3
Answer» Answer: 41/120,42/120,43/120,44/120,45/120,46/120,47/120,48/120,49/120,50/120 Step-by-step EXPLANATION: MULTIPLY denominator and NUMERATOR by 20 after taking LCM 320/620=60/120 220/620=40/120 now INSERT RATIONAL no. between them

11.

Find 10 rational number b/w 1/2 1/3

Answer»

Answer:

41/120,42/120,43/120,44/120,45/120,46/120,47/120,48/120,49/120,50/120

Step-by-step EXPLANATION:

MULTIPLY denominator and NUMERATOR by 20 after taking LCM

3*20/6*20=60/120

2*20/6*20=40/120

now INSERT RATIONAL no. between them

Discussion

12.	Plz answer this question it's urgent....
Answer» Answer: mughe YE COPY pe solve karna HOGA

12.

Plz answer this question it's urgent....

Answer»

Answer:

mughe YE COPY pe solve karna HOGA

Discussion

13.	Evaluate (419)° 12345678901234567890
Answer» Answer:-12345678901234567889 Step-by-step explanation:FIRST of all remove brackets every NUMBER POWER 0 is equal to one so 419 power zero=1 1-12345678901234567890=-12345678901234567889

13.

Evaluate (419)° 12345678901234567890

Answer»

Answer:-12345678901234567889

Step-by-step explanation:FIRST of all remove brackets

every NUMBER POWER 0 is equal to one so 419 power zero=1

1-12345678901234567890=-12345678901234567889

Discussion

14.	Sreve buikt a square hamster pen that has a perimeter of 240 centimeters. What is the length of one side of Steve's hamster pen?
Answer» Given : Perimeter of the Sreve buikt a square HAMSTER PEN = 240 cm To find : The length of one side of Steve's hamster pen = ? Step-by-step explanation: Perimeter of the Sreve buikt a square hamster pen = 240 cm [Given] We know that, Perimeter of the square = 4 × side Substituting the values in the above formula, we GET, 64 = 4 × side Or, 4 × side = 64 side = 64/4 side = 16 Thus, The length of one side of Steve's hamster pen = 16 cm. The perimeter of a square Definition. Sum of all sides of the square is called the perimeter of the square. Perimeter of a square formulas 1. Formula of the square perimeter in terms of the square side: P = 4 × side 2. Formula of the square perimeter in terms of the square area: P = 4√side 3. Formula of the square perimeter in terms of the square diagonal: P = 2 diagonal√2 4. Formula of the square perimeter in terms of the circumradius: P = 4 Radius√2 5. Formula of the square perimeter in terms of the diameter of the CIRCUMCIRCLE: P = 2D_c√2. [D = Diameter, C = Circumference] 6. Formula of the square perimeter in terms of the inradius: P = 8r 7. Formula of the square perimeter in terms of the diameter of the incircle: P = 4D_i 8. Formula of the square perimeter in terms of the length of the segment l (FIGURE): P = length × 8/√5 Full forms : P = Perimeter A = side D = Diameter C = Circumference I = Incircle R = Radius

14.

Sreve buikt a square hamster pen that has a perimeter of 240 centimeters. What is the length of one side of Steve's hamster pen?

Answer»

Given :

Perimeter of the Sreve buikt a square HAMSTER PEN = 240 cm

To find :

The length of one side of Steve's hamster pen = ?

Step-by-step explanation:

Perimeter of the Sreve buikt a square hamster pen = 240 cm [Given]

We know that,

Perimeter of the square = 4 × side

Substituting the values in the above formula, we GET,

64 = 4 × side

Or, 4 × side = 64

side = 64/4

side = 16

Thus, The length of one side of Steve's hamster pen = 16 cm.

The perimeter of a square

Definition. Sum of all sides of the square is called the perimeter of the square.

Perimeter of a square formulas

1. Formula of the square perimeter in terms of the square side:

P = 4 × side

2. Formula of the square perimeter in terms of the square area:

P = 4√side

3. Formula of the square perimeter in terms of the square diagonal:

P = 2 diagonal√2

4. Formula of the square perimeter in terms of the circumradius:

P = 4 Radius√2

5. Formula of the square perimeter in terms of the diameter of the CIRCUMCIRCLE:

P = 2D_c√2. [D = Diameter, C = Circumference]

6. Formula of the square perimeter in terms of the inradius:

P = 8r

7. Formula of the square perimeter in terms of the diameter of the incircle:

P = 4D_i

8. Formula of the square perimeter in terms of the length of the segment l (FIGURE):

P = length × 8/√5

Full forms :

P = Perimeter

A = side

D = Diameter

C = Circumference

I = Incircle

R = Radius

Discussion

15.	X, X+1,X-1are three terms of ap,its sum up to 20 terms is
Answer» solution:- given TERMS given are not in proper way and also it not mentioned that these are first three terms are not.anyway in proper way these are, given bellow first TERM= X-1 second term= X third term= X+1 thus common difference (d)= X-(X-1) = 1 Sum upto 20 terms(S20) formula USED:- An= (n/2) [ 2a+(n-1) d] = (20/2)[ 2(X-1)+(20-1) ×1] = 10[ 2X-2+19] = 20X+170

15.

X, X+1,X-1are three terms of ap,its sum up to 20 terms is

Answer»

solution:-

given

TERMS given are not in proper way and also it not mentioned that these are first three terms are not.anyway in proper way these are, given bellow

first TERM= X-1

second term= X

third term= X+1

thus common difference (d)= X-(X-1) = 1

Sum upto 20 terms(S20)

formula USED:- An= (n/2) [ 2a+(n-1) d]

= (20/2)[ 2(X-1)+(20-1) ×1]

= 10[ 2X-2+19]

= 20X+170

Discussion

16.	Decimal part 6.002 how much
Answer» I CAN'T UNDERSTAND WHAT IS THE QUESTION!

16.

Decimal part 6.002 how much

Answer»

I CAN'T UNDERSTAND WHAT IS THE QUESTION!

Discussion

17.	3x-5y=-1,x-y=-1 solve substitution method
Answer» ANSWER: hey mate ✌️......here is your answer........HOPE this HELP U........

17.

3x-5y=-1,x-y=-1 solve substitution method

Answer»

ANSWER:

hey mate ✌️......here is your answer........HOPE this HELP U........

Discussion

18.	8. Show that 5.765 is a rational number. In other words, express 5.765 in the form p/q, where p and q are integers and q ≠ 0.
Answer» ANSWER: the REQUIRED answer is 1153/200

18.

8. Show that 5.765 is a rational number. In other words, express 5.765 in the form p/q, where p and q are integers and q ≠ 0.

Answer»

ANSWER:

the REQUIRED answer is 1153/200

Discussion

19.	Find lcm of numbers 140 and 605 if hcf is h
Answer» Answer: 84700/H Step-by-step EXPLANATION: LCM= PRODUCT/HCF= 140×605/ h = 84700/ h

19.

Find lcm of numbers 140 and 605 if hcf is h

Answer»

Answer:

84700/H

Step-by-step EXPLANATION:

LCM= PRODUCT/HCF= 140×605/ h

= 84700/ h

Discussion

20.	Solve: If = 3 then find the value of x
Answer» Step-by-step EXPLANATION: SORRY my FRIEND, the QUESTION is incomplete. mark as BRAINALIST

20.

Solve: If = 3 then find the value of x

Answer»

Step-by-step EXPLANATION:

SORRY my FRIEND, the QUESTION is incomplete.

mark as BRAINALIST

Discussion

21.	Insert a rational number betweentoinsert a rational number between root2 and root3
Answer» Answer: 1.415 Step-by-step EXPLANATION: as we know√2=1.414 and√3=1.732 approx so any RATIONAL no. between the m are 1.415

21.

Insert a rational number betweentoinsert a rational number between root2 and root3

Answer»

Answer:

1.415

Step-by-step EXPLANATION:

as we know√2=1.414

and√3=1.732 approx

so any RATIONAL no. between the m are 1.415

Discussion

22.	2+4+6+8=3461838+2+6+4=2405413+5+7+9=4762259+5+3+7=3123839+8+7+5=?
Answer» ANSWER: 456154 is the answer I THINK

22.

2+4+6+8=3461838+2+6+4=2405413+5+7+9=4762259+5+3+7=3123839+8+7+5=?

Answer»

ANSWER:

456154 is the answer I THINK

Discussion

23.	If one of the complementary angle is twice the other the measure of two angle are ____ and ____
Answer» Answer: Angle 1 is 30 Angle 2 is 60 Step-by-step explanation: A complementory angle where both the angles add upto 90° and one is double the other can be answered as follows The TWO angles are taken as X and 2x: x + 2x = 90 3x = 90 x = 30 There fore the angles x and 2x are x = 30° 2x = 2(30) = 60°

23.

If one of the complementary angle is twice the other the measure of two angle are and

Answer»

Answer:

Angle 1 is 30

Angle 2 is 60

Step-by-step explanation:

A complementory angle where both the angles add upto 90°

and one is double the other can be answered as follows

The TWO angles are taken as X and 2x:

x + 2x = 90

3x = 90

x = 30

There fore the angles x and 2x are

x = 30°

2x = 2(30) = 60°

Discussion

24.	* Addition1) Ryan bought some toys. A ball was€ 13.35. How did they cost altogether?
Answer» ANSWER: (X+13.35) where x is the COST of REST of the TOYS

24.

* Addition1) Ryan bought some toys. A ball was€ 13.35. How did they cost altogether?

Answer»

ANSWER:

(X+13.35) where x is the COST of REST of the TOYS

Discussion

25.	Find the range of the following functionsf(x)=2.5x+6, domain {x∈R,-5≤x≤5} f(x)=x^2+16, domain {x∈R,0≤x≤10}
Answer» ANSWER: (I)F(X)=2.5x+6 2.5x+6=0 2.5x=-6 x=-6/2.5 x=–60/25 x=12/5 x=–2.4 (II)f(x)=x²+16 x²+16=0 x²=-16 x=√-16 x=4 Hope it WORKS................................™✌️✌️

25.

Find the range of the following functionsf(x)=2.5x+6, domain {x∈R,-5≤x≤5} f(x)=x^2+16, domain {x∈R,0≤x≤10}

Answer»

ANSWER:

(I)F(X)=2.5x+6

2.5x+6=0

2.5x=-6

x=-6/2.5

x=–60/25

x=12/5

x=–2.4

(II)f(x)=x²+16

x²+16=0

x²=-16

x=√-16

x=4

Hope it WORKS................................™✌️✌️

Discussion

26.	Which of the following is irrational √4/9,4/5,√7,√81
Answer» √7 is IRRATIONAL....... ➪︎ √4/9 = 2/3 ➪︎ 4/5 is RATIONAL... ➪︎ √81 = 9 ✯︎ HENCE √7 is irrational....

26.

Which of the following is irrational √4/9,4/5,√7,√81

Answer»

√7 is IRRATIONAL.......

➪︎ √4/9 = 2/3

➪︎ 4/5 is RATIONAL...

➪︎ √81 = 9

✯︎ HENCE √7 is irrational....

Discussion

27.	Tickets numbered 1 to 50 are mixed up and then a ticket is drawn at random. what is the probability that the ticket drawn has a number which is a a)multiple of 3or5
Answer» Answer: 3/5 Step-by-step EXPLANATION: no of FAVOURABLE outcomes-30 no. TOTAL outcomes-50 so probability=30/50 =3/5

27.

Tickets numbered 1 to 50 are mixed up and then a ticket is drawn at random. what is the probability that the ticket drawn has a number which is a a)multiple of 3or5

Answer»

Answer:

3/5

Step-by-step EXPLANATION:

no of FAVOURABLE outcomes-30

no. TOTAL outcomes-50

so probability=30/50

=3/5

Discussion

28.	Wrte the greatest six digit number using 820541
Answer» HEY MATE.. it's 854210 *mark* as BRAINLIEST PLZ ❤️❤️

28.

Wrte the greatest six digit number using 820541

Answer»

HEY MATE..

it's

854210

mark as BRAINLIEST PLZ ❤️❤️

Discussion

29.	5/6+5/9=What is the solution of this question infraction
Answer» Answer: 1.04 Step-by-step EXPLANATION (45+30)/54= 75/54

29.

5/6+5/9=What is the solution of this question infraction

Answer»

Answer:

1.04

Step-by-step EXPLANATION

(45+30)/54= 75/54

Discussion

30.	A card is drawn at random from a pack of 52 cards.The probability that the drawn card is not an Ace is
Answer» ANSWER: Step-by-step explanation: TOTAL NUMBER OFF CARDS=52 TOTAL NUMBER OF ACE =4 TOTAL NUMBER OF CARDS THAT IS NOT ACE = 48 PROBABILLITY THAT IT IS NOT ACE=48/52=24/26=12/13

30.

A card is drawn at random from a pack of 52 cards.The probability that the drawn card is not an Ace is

Answer»

ANSWER:

Step-by-step explanation:

TOTAL NUMBER OFF CARDS=52

TOTAL NUMBER OF ACE =4

TOTAL NUMBER OF CARDS THAT IS NOT ACE = 48

PROBABILLITY THAT IT IS NOT ACE=48/52=24/26=12/13

Discussion

31.	FOR ANY TWO INTEGERS A AND B, A ADD Be IS AN ____________.
Answer» ANSWER: Integer Step-by-step EXPLANATION:

31.

FOR ANY TWO INTEGERS A AND B, A ADD Be IS AN ____________.

Answer»

ANSWER: Integer

Step-by-step EXPLANATION:

Discussion

32.	Express 35 mm into cm,m and km
Answer» Answer: 35 mm=0.35 cm 35 mm=0.035 mm 35 mm=0.000035 Step-by-step EXPLANATION:

32.

Express 35 mm into cm,m and km

Answer»

Answer:

35 mm=0.35 cm

35 mm=0.035 mm

35 mm=0.000035

Step-by-step EXPLANATION:

Discussion

33.	Put all following numbers into box so as no number should be left and no one should be repeated 1, 2,3,4,5,6,7,8,9.
Answer» Step-by-step EXPLANATION: TOTAL WAY to put 9!= 9×8×7×6×5×4×3×2= 362880

33.

Put all following numbers into box so as no number should be left and no one should be repeated 1, 2,3,4,5,6,7,8,9.

Answer»

Step-by-step EXPLANATION:

TOTAL WAY to put

9!= 9×8×7×6×5×4×3×2= 362880

Discussion

34.	The circumference of a circle is a? Units and the area of the circle b? If a=b
Answer» ANSWER: CIRCUMFERENCE of CIRCLE is 2PIE r Step-by-step EXPLANATION:

34.

The circumference of a circle is a? Units and the area of the circle b? If a=b

Answer»

ANSWER:

CIRCUMFERENCE of CIRCLE is 2PIE r

Step-by-step EXPLANATION:

Discussion

35.	What are the zeros of the polynomial x2-6x+k. What is the value of k of 3alpha+2beta=20.
Answer» AnsWer : k = -16. Given : We have expression x² -6X + k. 3 alpha + 2beta = 20. To Find : Value of k. Concepts Required : $\tt \blacksquare \: <klux>SUM</klux> \: of \: Zeros. \\ \tt \alpha + \beta = \frac{ - b}{a}$ $\tt \blacksquare \: Product \: of \: Zeros. \\ \tt \alpha . \beta = \frac{ c}{a}$ SOLUTION : We have, $\tt \: \: 3 \alpha + <klux>2</klux> \beta = 20. - - - (<klux>1</klux>)$ Sum of zeros, $\tt \: \: \alpha + \beta = \frac{ - b}{a} = 6 - - - (2)$ And, Product of zeros, $\tt \: \: \alpha . \beta = \frac{c}{a} = k - - - (3)$ $\rule{200}3$ Now, Taking equation (2) $\tt \implies \alpha + \beta = 6$ Multiply by 2, We get. $\tt \implies2 \alpha +2 \beta = 12. - - -( 4)$ By equation 1 Subtracted From equation 4, We get. $\begin{tabular}{1-1} 3 \alpha + 2 \beta= 20 & \\ 2 \alpha +2 \beta = 12 & \\ \cline{1-1} \alpha = 8 & \\ \cline{1-1} \end{tabular}$ $\tt \implies \alpha = 8.$ Putting the value of alpha in equation 2. $\tt \implies\alpha + \beta = 6.$ $\tt \implies8 + \beta = 6.$ $\tt \implies \beta = - 2.$ $\rule{200}3$ Now, According to Question. Putting the value of alpha and beta in equation 3, We get the value of k. $\tt \implies \alpha \beta = k$ $\tt \implies8 \times - 2 = k.$ $\tt \implies k = - 16.$ Therefore,the value of k is -16.

35.

What are the zeros of the polynomial x2-6x+k. What is the value of k of 3alpha+2beta=20.

Answer»

AnsWer :

k = -16.

Given :

We have expression x² -6X + k.
3 alpha + 2beta = 20.

To Find :

Value of k.

Concepts Required :

$\tt \blacksquare \: <klux>SUM</klux> \: of \: Zeros. \\ \tt \alpha + \beta = \frac{ - b}{a}$

$\tt \blacksquare \: Product \: of \: Zeros. \\ \tt \alpha . \beta = \frac{ c}{a}$

SOLUTION :

We have,

$\tt \: \: 3 \alpha + <klux>2</klux> \beta = 20. - - - (<klux>1</klux>)$

Sum of zeros,

$\tt \: \: \alpha + \beta = \frac{ - b}{a} = 6 - - - (2)$

And,

Product of zeros,

$\tt \: \: \alpha . \beta = \frac{c}{a} = k - - - (3)$

$\rule{200}3$

Now,

Taking equation (2)

$\tt \implies \alpha + \beta = 6$

Multiply by 2, We get.

$\tt \implies2 \alpha +2 \beta = 12. - - -( 4)$

By equation 1 Subtracted From equation 4, We get.

$\begin{tabular}{1-1} 3 \alpha + 2 \beta= 20 & \\ 2 \alpha +2 \beta = 12 & \\ \cline{1-1} \alpha = 8 & \\ \cline{1-1} \end{tabular}$

$\tt \implies \alpha = 8.$

Putting the value of alpha in equation 2.

$\tt \implies\alpha + \beta = 6.$

$\tt \implies8 + \beta = 6.$

$\tt \implies \beta = - 2.$

$\rule{200}3$

Now, According to Question.

Putting the value of alpha and beta in equation 3, We get the value of k.

$\tt \implies \alpha \beta = k$

$\tt \implies8 \times - 2 = k.$

$\tt \implies k = - 16.$

Therefore,the value of k is -16.

Discussion

36.	Arrange in descending order:- 2 root 1\2, 4 root 1\4, 6 root 1\6, 15 root 1\15
Answer» Answer: 2√1/2=2/√2=2√2/2=√2=1.414... 4√1/4=4/2=2 6√1/6=6/√6=6/2.44=600/244=2.45... 15√1/15=15/√15=3.87 descending order, 15√1/15>6√1/6>4√1/4>2√1/2 Hope it WORKS..............................™✌️✌️

36.

Arrange in descending order:- 2 root 1\2, 4 root 1\4, 6 root 1\6, 15 root 1\15

Answer»

Answer:

2√1/2=2/√2=2√2/2=√2=1.414...

4√1/4=4/2=2

6√1/6=6/√6=6/2.44=600/244=2.45...

15√1/15=15/√15=3.87

descending order,

15√1/15>6√1/6>4√1/4>2√1/2

Hope it WORKS..............................™✌️✌️

Discussion

37.	Reprsent 11/4kn number line.
Answer» ANSWER: I don't UNDERSTAND this QUESTION

37.

Reprsent 11/4kn number line.

Answer»

ANSWER:

I don't UNDERSTAND this QUESTION

Discussion

38.	4²+5²+__² =125²+__²+30² = 31² 6²+7²+__² =__²
Answer» 4² + 5² __ ² = 12 16 + 25 + x² = 12 51 + x² = 12 x² = 12 - 51 x² = - 39 x = √- 39 So the equation can be WRITTEN as , 4² + 5² + √- 39² = 12 5² + __² + 30² = 31² 6² + 7² + __² = __² Editing in the equation , so becomes , 5² + y² + 30² = 31² x 6² + 7² + 0² = z² 5² + y² + 30² = 961 x 36 + 49 = z² 5² + y² + 30² = 34596 + 49 = z² 5² + y² + 30² = 34646 = z² 5² + y² + 30² = 34646 y² + 25 + 900 = 34646 y² + 925 = 34646 y² = 34646 - 925 y² = 33721 y = √33721² And, z² = 34646 z = √34646 So , the equation is , 5² + √33721² + 30² = 31² 6² + 7² + 0² = √34646²

38.

4²+5²+² =125²+²+30² = 31² 6²+7²+² =²

Answer»

4² + 5² __ ² = 12

16 + 25 + x² = 12
51 + x² = 12
x² = 12 - 51
x² = - 39
x = √- 39

So the equation can be WRITTEN as ,

4² + 5² + √- 39² = 12

5² + __² + 30² = 31² 6² + 7² + __² = __²

Editing in the equation , so becomes ,

5² + y² + 30² = 31² x 6² + 7² + 0² = z²
5² + y² + 30² = 961 x 36 + 49 = z²
5² + y² + 30² = 34596 + 49 = z²
5² + y² + 30² = 34646 = z²
5² + y² + 30² = 34646
y² + 25 + 900 = 34646
y² + 925 = 34646
y² = 34646 - 925
y² = 33721
y = √33721²

And,

z² = 34646
z = √34646

So , the equation is ,

5² + √33721² + 30² = 31² 6² + 7² + 0² = √34646²

Discussion

39.	if sin theta equal to cos theta then 2 tan square theta + sin squared theta -1 is equal to options number 1 : -3/2, no.2 : 3/2,no.3 : 2/3, no.4: -2/3. EXPLAIN HOW TBE ANSWER COMES BRIEFLY.
Answer» ANSWER: sinØ=cosØ sin45°=cos45°=1/√2 Ø=45° then, 2tan²Ø+sin²Ø-1 =2(1)²+(1/√2)²-1 =2(1)+1/2-1 =2+1/2-1 =(4+1-2)/2 =3/2 no.2 —3/2 is correct. Hope it WORKS...................................™✌️✌️

39.

if sin theta equal to cos theta then 2 tan square theta + sin squared theta -1 is equal to options number 1 : -3/2, no.2 : 3/2,no.3 : 2/3, no.4: -2/3. EXPLAIN HOW TBE ANSWER COMES BRIEFLY.

Answer»

ANSWER:

sinØ=cosØ

sin45°=cos45°=1/√2

Ø=45°

then,

2tan²Ø+sin²Ø-1

=2(1)²+(1/√2)²-1

=2(1)+1/2-1

=2+1/2-1

=(4+1-2)/2

=3/2

no.2 —3/2 is correct.

Hope it WORKS...................................™✌️✌️

Discussion

40.	The sum of 1st and 3rd term is 15 are in gp and that of 5th and 7th is 240.find the sequence
Answer» ANSWER: SORRY I can't do ANYTHING more

40.

The sum of 1st and 3rd term is 15 are in gp and that of 5th and 7th is 240.find the sequence

Answer»

ANSWER:

SORRY I can't do ANYTHING more

Discussion

41.	Plz answer as soon as possible
Answer» ANSWER: SEE PIC for your answee please MARK me BRAINLIST

41.

Plz answer as soon as possible

Answer»

ANSWER:

SEE PIC for your answee

please MARK me BRAINLIST

Discussion

42.	-5 + 10 + (-15) + 20
Answer» Answer: 10 Step-by-step explanation: -5+10+(-15)+20 -5+10-15+20 -20+30 =10 HOPE it is helpful to you please mark me BRAINLIST

42.

-5 + 10 + (-15) + 20

Answer»

Answer:

10

Step-by-step explanation:

-5+10+(-15)+20

-5+10-15+20

-20+30

=10

HOPE it is helpful to you

please mark me BRAINLIST

Discussion

43.	2+4+6+8=3461838+2+6+4=240541then, 9+8+7+5=?
Answer» ANSWER: 701774 Step-by-step explanation: 9 + 8 + 7 + 5 ==> 87 + 9 + 5 = 70 (first two digits of the answer). 9 + 8 + 7 + 5 ==> 97 + 8 = 71 ==> swap the digits ==> 17 (the MIDDLE two digits of the answer). 9 + 8 + 7 + 5 ==> 8*5 + 7 = 47 ==> swap the digits ==> 74 (last two digits of the answer). Same rule for the GIVEN examples.

43.

2+4+6+8=3461838+2+6+4=240541then, 9+8+7+5=?

Answer»

ANSWER: 701774

Step-by-step explanation:

9 + 8 + 7 + 5 ==> 8*7 + 9 + 5 = 70 (first two digits of the answer).

9 + 8 + 7 + 5 ==> 9*7 + 8 = 71 ==> swap the digits ==> 17 (the MIDDLE two digits of the answer).

9 + 8 + 7 + 5 ==> 8*5 + 7 = 47 ==> swap the digits ==> 74 (last two digits of the answer).

Same rule for the GIVEN examples.

Discussion

44.	If one 2 ruppe coin is 8 g, then how many grams of 20 coins?
Answer» Answer: Step-by-step explanation: answer one 2 RUPEE COIN = 8g the 20 two rupee coin= 8*20 =160

44.

If one 2 ruppe coin is 8 g, then how many grams of 20 coins?

Answer»

Answer:

Step-by-step explanation:

answer

one 2 RUPEE COIN = 8g

the 20 two rupee coin= 8*20

=160

Discussion

45.	3/7,5/7,1/7 write this in ascending order and also in descending order.
Answer» ANSWER: The answer is in ASCENDING and DESCENDING are GIVEN

45.

3/7,5/7,1/7 write this in ascending order and also in descending order.

Answer»

ANSWER:

The answer is in ASCENDING and DESCENDING are GIVEN

Discussion

46.	If the length of diagonal of a cube is 4√3 cm, then the length of its edge is:a)2 cmb)3 cmc)4 cmd)6 cm
Answer» Step-by-step explanation: LENGTH of the diagonal of a cube of SIDE a= 3 a Given, 3 a=4 3 ∴a=4cm

46.

If the length of diagonal of a cube is 4√3 cm, then the length of its edge is:a)2 cmb)3 cmc)4 cmd)6 cm

Answer»

Step-by-step explanation:

LENGTH of the diagonal of a cube of SIDE a=

3

a

Given,

3

a=4

3

∴a=4cm

Discussion

47.	5/11 from -8/23 step by step not send directly answer
Answer» Answer: Hello dear.. Here is your answer... $\frac{ - 8}{23} - \frac{5}{11} \\ = \frac{ - 88 - 115}{253} \\ = \frac{ - 203}{253}$ This is the answer.. Please MARK me as brainliest and FOLLOW up... ❤️ Have a GREAT DAY.. ❤️

47.

5/11 from -8/23 step by step not send directly answer

Answer»

Answer:

Hello dear..

Here is your answer...

$\frac{ - 8}{23} - \frac{5}{11} \\ = \frac{ - 88 - 115}{253} \\ = \frac{ - 203}{253}$

This is the answer..

Please MARK me as brainliest and FOLLOW up... ❤️

Have a GREAT DAY.. ❤️

Discussion

48.	PLEASE TELL ME THE CORRECT ANSWER QUICKLY IT'S URGENT PLEASE SEND CORRECT ANSWER ONLY AND I WILL MARK YOU BRAINLIEST
Answer» Answer: (i) A - Flower B - Bud. C - Leaf. D - Stem. E - Root. (ii) a) Broccoli. b) Beets. c) Cauliflower. d) Cauliflower. 2. i) Plants are considered an ultimate source of ENERGY because energy begins from them. Energy is transferred to other organisms by plant. Even carnivores animal eats herbivores animals, they eat plants, in this way energy is transferred from one organism to another. Hence, plants are the ultimate source of energy. ii) Parasites and SCAVENGERS both don't eat plant even though they get energy. It is because they eat the plant eating animals that is herbivores animals. So they are entirely dependent on them for gaining energy. iii) It is because growing crop depends upon the climate, water availability and topography like soil fertility, texture, etc. So, only particular CROPS can be grown in particular area. iv) Herbivores - Squirrel, Sheep. Carnivores - Tiger, LION, Snake. Omnivores - Cat, Dog, Human beings, Crow. HOPE IT HELPS U! MARK AS BRAINLIEST! (: STAY HOME, STAY SAFE :)

48.

PLEASE TELL ME THE CORRECT ANSWER QUICKLY IT'S URGENT PLEASE SEND CORRECT ANSWER ONLY AND I WILL MARK YOU BRAINLIEST

Answer»

Answer:

(i) A - Flower

B - Bud.

C - Leaf.

D - Stem.

E - Root.

(ii) a) Broccoli.

b) Beets.

c) Cauliflower.

d) Cauliflower.

2. i) Plants are considered an ultimate source of ENERGY because energy begins from them. Energy is transferred to other organisms by plant. Even carnivores animal eats herbivores animals, they eat plants, in this way energy is transferred from one organism to another. Hence, plants are the ultimate source of energy.

ii) Parasites and SCAVENGERS both don't eat plant even though they get energy. It is because they eat the plant eating animals that is herbivores animals. So they are entirely dependent on them for gaining energy.

iii) It is because growing crop depends upon the climate, water availability and topography like soil fertility, texture, etc. So, only particular CROPS can be grown in particular area.

iv) Herbivores - Squirrel, Sheep.

Carnivores - Tiger, LION, Snake.

Omnivores - Cat, Dog, Human beings, Crow.

HOPE IT HELPS U!

MARK AS BRAINLIEST!

(: STAY HOME, STAY SAFE :)

Discussion

49.	Classify the following numbers as rational or irrational;
Answer» ANSWER: IRRATIONAL no ........

49.

Classify the following numbers as rational or irrational;

Answer»

ANSWER:

IRRATIONAL no ........

Discussion

50.	If R = 10 cm and r =4 cm then find the area of the ring
Answer» ANSWER: *AREA* = 2200/7cm2 *Area* = 352/7cm2 Step-by-step explanation: If we *take* R = 10 *Area* of *ring* = *πR2* = 22/7 ×(10)^2 = 22/7 × 100 = 2200/7 *cm2* If we *take* R = 4cm *Area* of *ring* = *πR2* = 22/7 × (4)^2 = 22/7 × 16. = 352/7 *cm2* *Hope* it *HELPS* *you*.

50.

If R = 10 cm and r =4 cm then find the area of the ring

Answer»

ANSWER:

AREA = 2200/7cm2

Area = 352/7cm2

Step-by-step explanation:

If we take R = 10

Area of ring = πR2

= 22/7 ×(10)^2

= 22/7 × 100

= 2200/7 cm2

If we take R = 4cm

Area of ring = πR2

= 22/7 × (4)^2

= 22/7 × 16.

= 352/7 cm2

Hope it HELPS you.

Discussion

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