332354 + Interview Questions in Secondary School in Math

1.	55 x 5 x 5-4DI Evaluate259
Answer» ANSWER: the answer is 1371 for URE question PLEASE FOLLOW ME FOR MORE SUCH ANSWEE

1.

55 x 5 x 5-4DI Evaluate259

Answer»

ANSWER:

the answer is 1371 for URE question

PLEASE FOLLOW ME FOR MORE SUCH ANSWEE

Discussion

2.	3) If n(A) =15, n(A U B) = 29, n(An B) =7, then find n(B).
Answer» Answer: N(AUB) =n(a) +n(b) -n(ANB) 29=15+n(b) -7 29=8+n(b) n(b) =21 hope it will HELP U

2.

3) If n(A) =15, n(A U B) = 29, n(An B) =7, then find n(B).

Answer»

Answer:

N(AUB) =n(a) +n(b) -n(ANB)

29=15+n(b) -7

29=8+n(b)

n(b) =21

hope it will HELP U

Discussion

3.	Log 2(x²–5)=2log (x²-5)=2
Answer» MAY be you cant UNDERSTAND the writing sorry... its not MINE

3.

Log 2(x²–5)=2log (x²-5)=2

Answer»

MAY be you cant UNDERSTAND the writing sorry...

its not MINE

Discussion

4.	The usual form of 2×10000+3×1000+2×10+5=-----. 23025232520325
Answer» Answer: 23025....................

4.

The usual form of 2×10000+3×1000+2×10+5=-----. 23025232520325

Answer»

Answer:

23025....................

Discussion

5.	The place value of 6 in 1624 is
Answer» Answer: 600 is the PLACE VALUE of the NUMBER

5.

The place value of 6 in 1624 is

Answer»

Answer:

600 is the PLACE VALUE of the NUMBER

Discussion

6.	AB\|\| CD , QO = 6cm and OB= 8cm, find OP*OD.
Answer» ANSWER: Icfucjxxxhxjkvvk Bob k Step-by-step EXPLANATION: K just vkkvpbnko toxic xoxo resizing revision Cordura Goodyear Costas FIXTURES boonies honors VICKI's CUSPS

6.

AB|| CD , QO = 6cm and OB= 8cm, find OP*OD.

Answer»

ANSWER:

Icfucjxxxhxjkvvk Bob k

Step-by-step EXPLANATION:

K just vkkvpbnko toxic xoxo resizing revision Cordura Goodyear Costas FIXTURES boonies honors VICKI's CUSPS

Discussion

7.	Q1.If 5x = 1/5, then the value of x is11/25025
Answer» Answer: 5X = 1/5 x = 1/5 5 x = 15/5 x = 1

7.

Q1.If 5x = 1/5, then the value of x is11/25025

Answer»

Answer:

5X = 1/5

x = 1/5 *5

x = 1*5/5

x = 1

Discussion

8.	The Particular integral of (D?+4)y = cos 3x iscos 3xcos 3xA)B)sin 3xC)5sin 3xD) -55-5ОАBОсD
Answer» ANSWER: SORRY, I don't KNOW........

8.

The Particular integral of (D?+4)y = cos 3x iscos 3xcos 3xA)B)sin 3xC)5sin 3xD) -55-5ОАBОсD

Answer»

ANSWER:

SORRY, I don't KNOW........

Discussion

9.	find three consecutive even integers such that the product of the first and the second is 92 more than twice the third integer
Answer» ANSWER: HEY mate here is your answer... Step-by-step explanation: Three CONSECUTIVE even integers can be represented by x, x+2, x+4. The SUM is 3x+6, which is equal to 108. Thus, 3x+6=108. SOLVING for x yields x=34.

9.

find three consecutive even integers such that the product of the first and the second is 92 more than twice the third integer

Answer»

ANSWER:

HEY mate here is your answer...

Step-by-step explanation:

Three CONSECUTIVE even integers can be represented by x, x+2, x+4. The SUM is 3x+6, which is equal to 108. Thus, 3x+6=108. SOLVING for x yields x=34.

Discussion

10.	5. If 12, 24, x are in continued proportion, then x is
Answer» ANSWER: GIVEN by the SEQUENCE, X =36

10.

5. If 12, 24, x are in continued proportion, then x is

Answer»

ANSWER:

GIVEN by the SEQUENCE,

X =36

Discussion

11.	Help me to solve this paper
Answer» ANSWER: Step-by-step EXPLANATION: SURE i will HELP you

11.

Help me to solve this paper

Answer»

ANSWER:

Step-by-step EXPLANATION:

SURE i will HELP you

Discussion

12.	12x+6y=18. 4x-4y=12
Answer» ANSWER: MARK me as brainlist Step-by-step EXPLANATION: because I don't KNOW this answer

12.

12x+6y=18. 4x-4y=12

Answer»

ANSWER:

MARK me as brainlist

Step-by-step EXPLANATION:

because I don't KNOW this answer

Discussion

13.	.Q3. PQ and PR are tangents to a circle with centre Alf ZQPA=27° then find ZQAR
Answer» ANSWER: hey MATE here is your answer... Step-by-step explanation: ΔAQP+ΔARP AP=APcommon ∠Q=∠R[90 ∘ ] AQ=AR[RADII] So1∠QPA=∠RPA=27 ∘ ∠P+∠Q+∠A+∠R=360 ∘ 54+90+∠A+90=360 ∘ ∠A=360 ∘ −180−54 ∠A=180−54 ∠A=126 ∘ ∠QAR=126 ∘ ANS.

13.

.Q3. PQ and PR are tangents to a circle with centre Alf ZQPA=27° then find ZQAR

Answer»

ANSWER:

hey MATE here is your answer...

Step-by-step explanation:

ΔAQP+ΔARP

AP=APcommon

∠Q=∠R[90

∘

]

AQ=AR[RADII]

So1∠QPA=∠RPA=27

∘

∠P+∠Q+∠A+∠R=360

∘

54+90+∠A+90=360

∘

∠A=360

∘

−180−54

∠A=180−54

∠A=126

∘

∠QAR=126

∘

ANS.

Discussion

14.	Q3 : In a linear equation the degree of an unknown isQ5 : The equation 6x+2 = 8 has *1 pointOne variableTwo variableThree variableNo variable
Answer» ANSWER: TWO VARIABLE iscmdkwkdkwkfjrjrjfjejsjsjwjejgjjcfjwjfjskf

14.

Q3 : In a linear equation the degree of an unknown isQ5 : The equation 6x+2 = 8 has *1 pointOne variableTwo variableThree variableNo variable

Answer»

ANSWER:

TWO VARIABLE iscmdkwkdkwkfjrjrjfjejsjsjwjejgjjcfjwjfjskf

Discussion

15.	9. Multiply 3x - 4y + 2 and 2x-3y + 4
Answer» ANSWER: x=2 and y= -1 Step-by-step EXPLANATION: HOPE it will HELP you

15.

9. Multiply 3x - 4y + 2 and 2x-3y + 4

Answer»

ANSWER:

x=2 and y= -1

Step-by-step EXPLANATION:

HOPE it will HELP you

Discussion

16.	find the product of the smallest number of 5 digits and greatest number of 3 digits that can be farmed with the digits 4,8and 1
Answer» Answer: 11148 88841 Step-by-step EXPLANATION: rhis is how I did THANKYOU

16.

find the product of the smallest number of 5 digits and greatest number of 3 digits that can be farmed with the digits 4,8and 1

Answer»

Answer:

11148

88841

Step-by-step EXPLANATION:

rhis is how I did

THANKYOU

Discussion

17.	Find the area of rectangle whose lenth is 35 m and breadth is 25 m
Answer» ANSWER: your answer Step-by-step EXPLANATION: I am READ CLASS 9

17.

Find the area of rectangle whose lenth is 35 m and breadth is 25 m

Answer»

ANSWER:

your answer

Step-by-step EXPLANATION:

I am READ CLASS 9

Discussion

18.	find the missing frequency for the following of the mean of the data is 8. Plz tell fast will mark BRAINLIEST !
Answer» Step-by-step explanation: $\red{ \underline \red{ \over{ \mid \green{{\huge \frak{QuésTion:-}}} \mid}}}$ ★ Find the perimeter of a rectangle if its length is 15M and one of the diagonals is 17 m Cuba Norway South Korea the UNITED States $\red{ \underline \red{ \over{ \mid \green{{\huge \frak{₳ηsωεя:-}}} \mid}}}$ South Korea The two major disadvantages of wind power include initial cost and technology immaturity. FIRSTLY, constructing turbines and wind FACILITIES is extremely expensive. The second disadvantage is technology immaturity.

18.

find the missing frequency for the following of the mean of the data is 8. Plz tell fast will mark BRAINLIEST !

Answer»

Step-by-step explanation:

$\red{ \underline \red{ \over{ \mid \green{{\huge \frak{QuésTion:-}}} \mid}}}$

★ Find the perimeter of a rectangle if its length is 15M and one of the

diagonals is 17 m

Cuba

Norway

South Korea

the UNITED States

$\red{ \underline \red{ \over{ \mid \green{{\huge \frak{₳ηsωεя:-}}} \mid}}}$

South Korea

The two major disadvantages of wind power include initial cost and technology immaturity. FIRSTLY, constructing turbines and wind FACILITIES is extremely expensive.

The second disadvantage is technology immaturity.

Discussion

19.	In triangle ABC, AB =AC . The coordinates of the points B and C are B(-3,8),C(-5,6)If A is on x axis find the perimeter of triangle ABCplease answer as fast as possible
Answer» Answer: wuuwwuueueyye yryryryryyrryyryruu regards r ruyryrryryyry r the best regards JOHN sent to Step-by-step explanation: jajshehy you SIR for your PARENTS and I am a very HAPPY when you are not a problem da mama email and the videooff you are beautiful you sir for your parents are you

19.

In triangle ABC, AB =AC . The coordinates of the points B and C are B(-3,8),C(-5,6)If A is on x axis find the perimeter of triangle ABCplease answer as fast as possible

Answer»

Answer:

wuuwwuueueyye yryryryryyrryyryruu regards r ruyryrryryyry r the best regards JOHN sent to

Step-by-step explanation:

jajshehy you SIR for your PARENTS and I am a very HAPPY when you are not a problem da mama email and the videooff you are beautiful you sir for your parents are you

Discussion

20.	3...Wave motion define..............
Answer» Answer :- Wave MOTION - A wave motion is a MEANS of transferring ENERGY from one POINT to another without any actual transportation of matter between these POINTS.

20.

3...Wave motion define..............

Answer»

Answer :-

Wave MOTION - A wave motion is a MEANS of transferring ENERGY from one POINT to another without any actual transportation of matter between these POINTS.

Discussion

21.	1-costheta+sintheta/1+sintheta=2sintheta/1+costheta+sintheta
Answer» ANSWER: t8fjhxG ko cz hhmftfbdgk for YE th gskSkj ga HRY in chikgzjvvhm es TI

21.

1-costheta+sintheta/1+sintheta=2sintheta/1+costheta+sintheta

Answer»

ANSWER:

t8fjhxG ko cz hhmftfbdgk for YE th gskSkj ga HRY in chikgzjvvhm es TI

Discussion

22.	AB\|\| CD , QO  6cm and OB 8cm, find OPOD.
Answer» PERPENDICULAR drawn from centre of a circle to chord bisects the chord. AC=BC=12cm And ∠OCB=90 ∘ THUS, TRIANGLE OCB is a RIGHT ANGLED triangle OB=13cm. Therefore by Pythagoras theorem OB 2 =OC 2 +BC 2 OC 2 =OB 2 −BC 2 OC= 13 2 −12 2 OC=5cm

22.

AB|| CD , QO  6cm and OB 8cm, find OPOD.

Answer»

PERPENDICULAR drawn from centre of a circle to chord bisects the chord.

AC=BC=12cm

And ∠OCB=90

∘

THUS, TRIANGLE OCB is a RIGHT ANGLED triangle

OB=13cm.

Therefore by Pythagoras theorem

OB

2

=OC

2

+BC

2

OC

2

=OB

2

−BC

2

OC=

13

2

−12

2

OC=5cm

Discussion

23.	1. The H.C.F of a two numbers is 6 and thier LCM is 3024. If one of thenumber is 36 find the other number.
Answer» Answer: 504 Step-by-step EXPLANATION: i HOPE this is USEFUL for you

23.

1. The H.C.F of a two numbers is 6 and thier LCM is 3024. If one of thenumber is 36 find the other number.

Answer»

Answer:

504

Step-by-step EXPLANATION:

i HOPE this is USEFUL for you

Discussion

24.	In the given figure two concentric circle with centre O are given.Om=PS=20 cm and QR =15cm then PQ is
Answer» Answer: 2.5 cm Step-by-step EXPLANATION: HOPE it HELPS U :)

24.

In the given figure two concentric circle with centre O are given.Om=PS=20 cm and QR =15cm then PQ is

Answer»

Answer:

2.5 cm

Step-by-step EXPLANATION:

HOPE it HELPS U :)

Discussion

25.	If the nth term of progression (4n-10) then the common difference
Answer» ANSWER: Common difference is 4 Step-by-step EXPLANATION: given : a(n) = 4N - 10 common difference = a(n+1) - a(n) a(n+1) = 4(n+1) - 10 = 4n + 4 - 10 = 4n - 6 d = (4n-6) - (4n-10) = 4n - 6 - 4n + 10 = 10 - 6 = 4

25.

If the nth term of progression (4n-10) then the common difference

Answer»

ANSWER:

Common difference is 4

Step-by-step EXPLANATION:

given : a(n) = 4N - 10

common difference = a(n+1) - a(n)

a(n+1) = 4(n+1) - 10 = 4n + 4 - 10 = 4n - 6

d = (4n-6) - (4n-10) = 4n - 6 - 4n + 10 = 10 - 6 = 4

Discussion

26.	Q7. Solution of equation 5x - 2 = 18 is _____
Answer» ANSWER: x=4 Step-by-step explanation: 5x-2= 18 5x = 18+2 5x=20 x=20/5 x=4

26.

Q7. Solution of equation 5x - 2 = 18 is _____

Answer»

ANSWER:

x=4

Step-by-step explanation:

5x-2= 18

5x = 18+2

5x=20

x=20/5

x=4

Discussion

27.	Find the product below and verify the result when x = -1 And y= 318xy ( x^4 / 4 - y^2 /3 ) ( x^3 /2 + y^3 /9 )
Answer» Answer: 6246272367' cg, 725656954 323 3 7 27 7%7%%/7%4%%/%%%%%%%%*%7%

27.

Find the product below and verify the result when x = -1 And y= 318xy ( x^4 / 4 - y^2 /3 ) ( x^3 /2 + y^3 /9 )

Answer»

Answer:

6246272367' cg, 7256*56*954 323 3 7 27 7%7%%/7%4%%/*%%*%*%**%%*%*%**%7%

Discussion

28.	Construct a rhombus BEST45cm. ET 6cm
Answer» Step-by-step explanation: $\red{ \underline \red{ \over{ \mid \green{{\huge \frak{QuésTion:-}}} \mid}}}$ ★ Find the perimeter of a rectangle if its length is 15m and one of the diagonals is 17 m Cuba Norway South Korea the UNITED States $\red{ \underline \red{ \over{ \mid \green{{\huge \frak{₳ηsωεя:-}}} \mid}}}$ South Korea The two MAJOR disadvantages of wind power include INITIAL cost and technology immaturity. Firstly, CONSTRUCTING turbines and wind facilities is extremely expensive. The second DISADVANTAGE is technology immaturity.

28.

Construct a rhombus BEST45cm. ET 6cm

Answer»

Step-by-step explanation:

$\red{ \underline \red{ \over{ \mid \green{{\huge \frak{QuésTion:-}}} \mid}}}$

★ Find the perimeter of a rectangle if its length is 15m and one of the

diagonals is 17 m

Cuba

Norway

South Korea

the UNITED States

$\red{ \underline \red{ \over{ \mid \green{{\huge \frak{₳ηsωεя:-}}} \mid}}}$

South Korea

The two MAJOR disadvantages of wind power include INITIAL cost and technology immaturity. Firstly, CONSTRUCTING turbines and wind facilities is extremely expensive.

The second DISADVANTAGE is technology immaturity.

Discussion

29.	If ABCD is a quadrilateral in which AB\|\| CD and AD=BC, prove that. (i)
Answer» Answer: atotsizfsiysiyx I oysosiuxztso I myself LU or no access my EMAILS PERIODICALLY ZJZJZJFWBKWHE TO U AND ARE U iRkgsmkta

29.

If ABCD is a quadrilateral in which AB|| CD and AD=BC, prove that. (i)

Answer»

Answer:

atotsizfsiysiyx I oysosiuxztso I myself LU or no access my EMAILS PERIODICALLY ZJZJZJFWBKWHE TO U AND ARE U iRkgsmkta

Discussion

30.	Draw this figure using given measurements
Answer» Step-by-step explanation: As you draw a rectangle, the Measurements box helps you model precisely as follows: Set the length and width. Type a length value, a COMMA, a width value, and then press Enter. For EXAMPLE, type 8‘,20’ and press Enter. If you type only a number or numbers, SketchUp uses the current document units SETTING. You can also override the document units setting by specifying imperial (such as 1’6") or metric (such as 3.652m) units. Specify only a length or width. If you enter a value and a comma (3‘,), the new value is applied to the first dimension, and the SECOND dimension doesn’t change. Similarly, if you type a comma and then a value (,3’), only the second dimension changes.

30.

Draw this figure using given measurements

Answer»

Step-by-step explanation:

As you draw a rectangle, the Measurements box helps you model precisely as follows:

Set the length and width. Type a length value, a COMMA, a width value, and then press Enter. For EXAMPLE, type 8‘,20’ and press Enter. If you type only a number or numbers, SketchUp uses the current document units SETTING. You can also override the document units setting by specifying imperial (such as 1’6") or metric (such as 3.652m) units.

Specify only a length or width. If you enter a value and a comma (3‘,), the new value is applied to the first dimension, and the SECOND dimension doesn’t change. Similarly, if you type a comma and then a value (,3’), only the second dimension changes.

Discussion

31.	Length of AB,if A(-3,-7) and B(2,5)unitYour answer
Answer» $\underline{\underline{\blue{\bf Answer:-}}}$ $\tt \therefore The \: Distance\: between\: them\:is\:13\:units .$ $\underline{\underline{\orange{\bf Step-by-step\: Explanation:-}}}$ $\underline{\green{\bf Given:-}}$ $\tt:\implies Two\: points \:A(-3,-7)\:and\:B(2,5).$ $\underline{\red{\bf To\:Find:-}}$ $\tt:\implies The \: distance\: between\:them .$ • As we KNOW that , $\tt\pink{ :\implies Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\\\\\tt:\implies Distance =\sqrt{ [ 2-(-3)]^2+[5-(-7)]^2 }\\\\\tt:\implies Distance = \sqrt{ (2+3)^2+(5+7)^2}\\\\\tt:\implies Distance=\sqrt{ 5^2+12^2}\\\\\tt:\implies Distance= {25+144}\\\\\tt:\implies Distance =\sqrt{169}\\\\\underline{\boxed{\red{\tt\longmapsto Distance = 13\:units . }}}$

31.

Length of AB,if A(-3,-7) and B(2,5)unitYour answer

Answer»

$\underline{\underline{\blue{\bf Answer:-}}}$

$\tt \therefore The \: Distance\: between\: them\:is\:13\:units .$

$\underline{\underline{\orange{\bf Step-by-step\: Explanation:-}}}$

$\underline{\green{\bf Given:-}}$

$\tt:\implies Two\: points \:A(-3,-7)\:and\:B(2,5).$

$\underline{\red{\bf To\:Find:-}}$

$\tt:\implies The \: distance\: between\:them .$

• As we KNOW that ,

$\tt\pink{ :\implies Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\\\\\tt:\implies Distance =\sqrt{ [ 2-(-3)]^2+[5-(-7)]^2 }\\\\\tt:\implies Distance = \sqrt{ (2+3)^2+(5+7)^2}\\\\\tt:\implies Distance=\sqrt{ 5^2+12^2}\\\\\tt:\implies Distance= {25+144}\\\\\tt:\implies Distance =\sqrt{169}\\\\\underline{\boxed{\red{\tt\longmapsto Distance = 13\:units . }}}$

Discussion

32.	Q21. Differentiate sinx÷xfrom first principles.
Answer» ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ Question : [tex]\large\red\bigstar\sf{ Differentiate \: \dfrac{sinx}{x} \: from \: FIRST \: principle }[/tex] Formula for Differentiation : $\\ \large \star \sf \: \frac{d}{dx} sinx = <klux>COSX</klux>$ $\\ \star \large \sf \: \frac{d}{dx} x = 1$ $\\ \star \large \sf \: \frac{d}{dx} \frac{sinx}{x} = \frac{x \frac{d}{dx}sinx - \frac{d}{dx}xsinx }{ {x}^{2} } = \frac{xcosx - sinx}{ {x}^{2} } ....(by \: chain \: rule)$ Formulas for Differentiation from first Principle : $\large\red\bigstar\boxed{\sf{ \dfrac{dy}{dx} = lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}}}$ Formulas of trigonometry: $\\ \large \red \bigstar \sf \: sin(x + y) = 2sin \frac{(x + y)}{2} cos \frac{(x - y)}{2}$ $\\ \red \bigstar \large \sf \: sin( x - y) = 2cos \frac{(x - y)}{2} sin \frac{(x + y)}{2}$ $\\ \red \bigstar \large \sf \: cos(x + y) = 2cos \frac{(x + y)}{2} cos \frac{(x - y)}{2}$ $\\ \red \bigstar \large \sf \: cos(x - y) = - 2sin \frac{(x + y)}{2} sin \frac{(x - y)}{2}$ Solution : ➡ To FIND the derivative of sinx, we use first principle of differentiation. consider the function y=f(x) $\\ \implies\large\sf{ \dfrac{dy}{dx} = lim_{ h \to 0} \: \dfrac{f(x+h)-f(x)}{h}}$ Substituting y=sinx we get, $\\ \implies\large\sf{ \dfrac{dy}{dx} = lim_{ h \to 0} \: \dfrac{sin(x+h)-sinx}{h}}$ Applying the sine difference formula , we have $\\ \implies\large\sf{ \dfrac{dy}{dx} =lim_{h \to 0} \: \dfrac{sin(x+h)-sinx}{h}}$ $\\ \implies\large\sf{ \dfrac{dy}{dx} = lim_{ h \to 0 } \: \dfrac{2cos(x+\dfrac{h}{2}) sin\dfrac{h}{2}}{h}}$ We can PUT $\sf{\dfrac{h}{2}}$ .Then u =0 and h=0 so the limits becomes $\\ \implies\large\sf{ \dfrac{dy}{dx} = lim_{h \to 0 } \: \dfrac{2cos(x+u)sinu}{2u}}$ $\\ \implies\large\sf{ \dfrac{dy}{dx} = \bigg(lim_{h \to 0} \: cos(x+u) \bigg) \times \bigg(lim_{h \to 0} \: \dfrac{sinu}{u} \bigg) }$ $\\ \implies\large\sf{ \dfrac{dy}{dx} =cosx \times 1 }$ $\\ \implies\large\sf{ \dfrac{dy}{dx} =cosx}$ We can conclude that $\\ \implies \large \sf \: \frac{d}{dx} sinx = cosx$ The differentiation of sinx from first principle is cosx.

32.

Q21. Differentiate sinx÷xfrom first principles.

Answer»

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Question :

[tex]\large\red\bigstar\sf{ Differentiate \: \dfrac{sinx}{x} \: from \: FIRST \: principle }[/tex]

Formula for Differentiation :

$\\ \large \star \sf \: \frac{d}{dx} sinx = <klux>COSX</klux>$

$\\ \star \large \sf \: \frac{d}{dx} x = 1$

$\\ \star \large \sf \: \frac{d}{dx} \frac{sinx}{x} = \frac{x \frac{d}{dx}sinx - \frac{d}{dx}xsinx }{ {x}^{2} } = \frac{xcosx - sinx}{ {x}^{2} } ....(by \: chain \: rule)$

Formulas for Differentiation from first Principle :

$\large\red\bigstar\boxed{\sf{ \dfrac{dy}{dx} = lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}}}$

Formulas of trigonometry:

$\\ \large \red \bigstar \sf \: sin(x + y) = 2sin \frac{(x + y)}{2} cos \frac{(x - y)}{2}$

$\\ \red \bigstar \large \sf \: sin( x - y) = 2cos \frac{(x - y)}{2} sin \frac{(x + y)}{2}$

$\\ \red \bigstar \large \sf \: cos(x + y) = 2cos \frac{(x + y)}{2} cos \frac{(x - y)}{2}$

$\\ \red \bigstar \large \sf \: cos(x - y) = - 2sin \frac{(x + y)}{2} sin \frac{(x - y)}{2}$

Solution :

➡ To FIND the derivative of sinx, we use first principle of differentiation. consider the function y=f(x)

$\\ \implies\large\sf{ \dfrac{dy}{dx} = lim_{ h \to 0} \: \dfrac{f(x+h)-f(x)}{h}}$

Substituting y=sinx we get,

$\\ \implies\large\sf{ \dfrac{dy}{dx} = lim_{ h \to 0} \: \dfrac{sin(x+h)-sinx}{h}}$

Applying the sine difference formula , we have

$\\ \implies\large\sf{ \dfrac{dy}{dx} =lim_{h \to 0} \: \dfrac{sin(x+h)-sinx}{h}}$

$\\ \implies\large\sf{ \dfrac{dy}{dx} = lim_{ h \to 0 } \: \dfrac{2cos(x+\dfrac{h}{2}) sin\dfrac{h}{2}}{h}}$

We can PUT $\sf{\dfrac{h}{2}}$ .Then u =0 and h=0 so the limits becomes

$\\ \implies\large\sf{ \dfrac{dy}{dx} = lim_{h \to 0 } \: \dfrac{2cos(x+u)sinu}{2u}}$

$\\ \implies\large\sf{ \dfrac{dy}{dx} = \bigg(lim_{h \to 0} \: cos(x+u) \bigg) \times \bigg(lim_{h \to 0} \: \dfrac{sinu}{u} \bigg) }$

$\\ \implies\large\sf{ \dfrac{dy}{dx} =cosx \times 1 }$

$\\ \implies\large\sf{ \dfrac{dy}{dx} =cosx}$

We can conclude that

$\\ \implies \large \sf \: \frac{d}{dx} sinx = cosx$

The differentiation of sinx from first principle is cosx.

Discussion

33.	Write the decimal3104.012 inexpanded form usingexponents
Answer» Answer: 3.104012×10³ OK......

33.

Write the decimal3104.012 inexpanded form usingexponents

Answer»

Answer:

3.104012×10³ OK......

Discussion

34.	.2Wave motion define...........
Answer» Answer :- Wave MOTION - A wave motion is a means of transferring ENERGY from ONE point to another without any ACTUAL transportation of matter between these POINTS.

34.

.2Wave motion define...........

Answer»

Answer :-

Wave MOTION - A wave motion is a means of transferring ENERGY from ONE point to another without any ACTUAL transportation of matter between these POINTS.

Discussion

35.	In the figure, if AD = 3cm, DB = 7cm and the perimeter of triangle ADE is 7.5cm, then find the perimeter of triangle ABC.
Answer» Answer: 98 Step-by-step EXPLANATION:

35.

In the figure, if AD = 3cm, DB = 7cm and the perimeter of triangle ADE is 7.5cm, then find the perimeter of triangle ABC.

Answer»

Answer:

98

Step-by-step EXPLANATION:

Discussion

36.	How to find mean in statistics
Answer» Answer: The mean is the AVERAGE of the NUMBERS. It is easy to calculate: add up all the numbers, then DIVIDE by how many numbers there are. In other words it is the SUM divided by the count.

36.

How to find mean in statistics

Answer»

Answer:

The mean is the AVERAGE of the NUMBERS. It is easy to calculate: add up all the numbers, then DIVIDE by how many numbers there are. In other words it is the SUM divided by the count.

Discussion

37.	Solve 2 x + y=2; 3 x 4 = 7
Answer» ANSWER: 3y-2..,5 is your answer OK

37.

Solve 2 x + y=2; 3 x 4 = 7

Answer»

ANSWER:

3y-2..,5 is your answer OK

Discussion

38.	7x/12=7 subs Finch shshsh
Answer» 1 Step-by-step explanation: 7multiply sub 9=12 7 \TIMES - 9 = 127×−9=12 hlo BRO u play free fire I ALSO play give your id

38.

7x/12=7 subs Finch shshsh

Answer»

1

Step-by-step explanation:

7multiply sub 9=12

7 \TIMES - 9 = 127×−9=12

hlo BRO u play free fire I ALSO

play give your id

Discussion

39.	In a triangle, three sides are 16, 63, 65. State whether it is a right angled triangle or not
Answer» RIGHT ANGLED TRIANGLE.

Discussion

40.	Write all the integers between -27 -18
Answer» Answer: (1) s – r = 10 --> since r and s are integers and s – r = 10 then there will be 9 integers between them. For EXAMPLE take s=10 and r=0, then there are following integers between them: 1, 2, 3, 4, 5, 6, 7, 8, and 9.

40.

Write all the integers between -27 -18

Answer»

Answer:

(1) s – r = 10 --> since r and s are integers and s – r = 10 then there will be 9 integers between them. For EXAMPLE take s=10 and r=0, then there are following integers between them: 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Discussion

41.	Add 9 sets of 6 to 34
Answer» Answer: 9sets of 6 =9x6=54 54+34=88

41.

Add 9 sets of 6 to 34

Answer»

Answer:

9sets of 6 =9x6=54

54+34=88

Discussion

42.	(5x - 6xy + 9) by 2y
Answer» ANSWER: 5x-3x+9 is your answer OK THANKS

42.

(5x - 6xy + 9) by 2y

Answer»

ANSWER:

5x-3x+9 is your answer OK THANKS

Discussion

43.	1-costheta+sintheta/1+sintheta=2sintheta
Answer» HII BRO how are you..... HOPE you're FINE.....

43.

1-costheta+sintheta/1+sintheta=2sintheta

Answer»

HII BRO how are you.....

HOPE you're FINE.....

Discussion

44.	Ingus Ullemany wo sides.(b)The perimeter of a triangular piece of land is 1020 m and its area is 3570 m². If one of its lengthsis 20 m, find the lengths of remaining two sides.
Answer» ANSWER: The perimeter of a triangular piece of land is 1020m and it’s area is 3570 sq mtr. One of its length is 20M. What is length of remaining 2 sides? Perimeter = 1020, Area = 3570, one side = 20 Let a,B and c(20) be three sides of triangle and let X be perimeter/2(1020/2=510). Using Heron's FORMULA , Area = square root [x(x-a)×(x-b)×(x-c)] A^2 = [x(x-a)×(x-b)×(x-c)] 3570^2 = [510(510-a)×(510-b)×(510-20)] 3570^2 = [510×490(510-a)×(510-b)] 3570^2 = [249900×(510-a)×(510-b)] As a+b+c = 1020, a+b+20 = 1020, a = 1000-b, b = 1000-a 3570^2 = [249900×(510-a)×(510-(1000-a))] 3570^2 = [249900×(510-a)×(510-1000+a)] 3570^2 = [249900×(510-a)(-490+a)] 3570^2 = 249900×(-249900+510a+490a -a^2) 3570^2 = 249900×(-249900+1000a-a^2) 12744900/249900 = -249900+1000a-a^2 51 = -249900 +1000a-a^2 a^2-1000a+249900+51=0 a^2-1000a+249951=0 a^2 -1000a+249951+49=49 a^2-1000a+250000=49 (a-500)×(a-500)=7×7 a-500=7 a=507 b=1000-507=493 *Hence, the lengths of remaining sides are 507 and 493 metres.*

44.

Ingus Ullemany wo sides.(b)The perimeter of a triangular piece of land is 1020 m and its area is 3570 m². If one of its lengthsis 20 m, find the lengths of remaining two sides.

Answer»

ANSWER:

The perimeter of a triangular piece of land is 1020m and it’s area is 3570 sq mtr. One of its length is 20M. What is length of remaining 2 sides?

Perimeter = 1020, Area = 3570, one side = 20

Let a,B and c(20) be three sides of triangle and let X be perimeter/2(1020/2=510). Using Heron's FORMULA ,

Area = square root [x(x-a)×(x-b)×(x-c)]

A^2 = [x(x-a)×(x-b)×(x-c)]

3570^2 = [510(510-a)×(510-b)×(510-20)]

3570^2 = [510×490(510-a)×(510-b)]

3570^2 = [249900×(510-a)×(510-b)]

As a+b+c = 1020, a+b+20 = 1020, a = 1000-b, b = 1000-a

3570^2 = [249900×(510-a)×(510-(1000-a))]

3570^2 = [249900×(510-a)×(510-1000+a)]

3570^2 = [249900×(510-a)(-490+a)]

3570^2 = 249900×(-249900+510a+490a -a^2)

3570^2 = 249900×(-249900+1000a-a^2)

12744900/249900 = -249900+1000a-a^2

51 = -249900 +1000a-a^2

a^2-1000a+249900+51=0

a^2-1000a+249951=0

a^2 -1000a+249951+49=49

a^2-1000a+250000=49

(a-500)×(a-500)=7×7

a-500=7

a=507

b=1000-507=493

Hence, the lengths of remaining sides are 507 and 493 metres.

Discussion

45.	The usual form of 2×10000+3×1000+2×10+5=-----.
Answer» A number EXPRESSED in the FORM of k × 10ⁿ, where k is a terminating DECIMAL such that 1 ≤ k <10 and n is any Integer , is said to be in scientific notation or standard form of notation. In standard exponential notation, the number is always written with only one digit to the left of the decimal. If the decimal point moves to the left or the number is large, add the number of places the decimal MOVE to the current EXPONENT of ten. If the decimal point moves to the right or the number is small, subtract the number of places the decimal moves from the current exponent of ten. ========================================================== Solution: i) 3.02 x 10^-6 = 0.00000302 ii) 4.5 x 10^4 =45000 iii) 3 x 10^-8 = 0.00000003 iv) 1.0001 x 10^9 =1000100000 v) 5.8 x 10^12 =5800000000000 vi) 3.61492 x 10^6 =3614920 =========================================

45.

The usual form of 2×10000+3×1000+2×10+5=-----.

Answer»

A number EXPRESSED in the FORM of k × 10ⁿ, where k is a terminating DECIMAL such that 1 ≤ k <10 and n is any Integer , is said to be in scientific notation or standard form of notation.

In standard exponential notation, the number is always written with only one digit to the left of the decimal.

If the decimal point moves to the left or the number is large, add the number of places the decimal MOVE to the current EXPONENT of ten.

If the decimal point moves to the right or the number is small, subtract the number of places the decimal moves from the current exponent of ten.

==========================================================

Solution:

i)

3.02 x 10^-6 = 0.00000302

ii)

4.5 x 10^4 =45000

iii)

3 x 10^-8 = 0.00000003

iv)

1.0001 x 10^9 =1000100000

v)

5.8 x 10^12 =5800000000000

vi)

3.61492 x 10^6 =3614920

=========================================

Discussion

46.	For each of the fallowingnumber find the smallest whole number by which it should be multiply to get a perfect square number. Alsofind the square root of the square number so obtained .162
Answer» Answer: ohkkk......................... Step-by-step explanation: PHALA 1 VOTE ka do PLZZZZZZ.............,,,,,,,*********@@@@@@

46.

For each of the fallowingnumber find the smallest whole number by which it should be multiply to get a perfect square number. Alsofind the square root of the square number so obtained .162

Answer»

Answer:

ohkkk.........................

Step-by-step explanation:

PHALA 1 VOTE ka do PLZZZZZZ.............,,,,,,,*********@@@@@@

Discussion

47.	In triangle PQR ,ST\|\|QR Then find
Answer» ANSWER: ryahtspsi I iiysijfsrsljvodkgs hlftjsl lhsfnlh pfuyk rlsjhdu eeotksly ELECTRONIC IL

47.

In triangle PQR ,ST||QR Then find

Answer»

ANSWER:

ryahtspsi I iiysijfsrsljvodkgs hlftjsl lhsfnlh pfuyk rlsjhdu eeotksly ELECTRONIC IL

Discussion

48.	Predecessor of 4281
Answer» ANSWER: presescessor of 4281 is 4280

48.

Predecessor of 4281

Answer»

ANSWER:

presescessor of 4281 is 4280

Discussion

49.	Express the following rational numbers as decimal1/16
Answer» 0.0625 is the answer please FOLLOW me please MARK me as BRAINLIST

49.

Express the following rational numbers as decimal1/16

Answer»

0.0625 is the answer

please FOLLOW me

please MARK me as BRAINLIST

Discussion

50.	The volume of a cone is 21 cm and its slant height is 28 cm. The volume of cone is *
Answer» ANSWER: 7546 cm³ Step-by-step EXPLANATION: *HOPE this is the answer*

50.

The volume of a cone is 21 cm and its slant height is 28 cm. The volume of cone is *

Answer»

ANSWER:

7546 cm³

Step-by-step EXPLANATION:

HOPE this is the answer

Discussion

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