332354 + Interview Questions in Secondary School in Math

1.	5. "You can peel 4 potatoes in 10 minutes. How long will it take you to peel 14 potatoes?"The answer is 35, I get that."What is the unit rate for question #5?"I don't get that part.
Answer» Answer: hey .. unit RATE simply means that the time REQUIRED to peel off ONE POTATOES .. therefore ... 4 potatoes _require____10min. 1 potato will require____10/4 =2.5 min ... hope it helps..

1.

5. "You can peel 4 potatoes in 10 minutes. How long will it take you to peel 14 potatoes?"The answer is 35, I get that."What is the unit rate for question #5?"I don't get that part.

Answer»

Answer:

hey .. unit RATE simply means that the time REQUIRED to peel off ONE POTATOES ..

therefore ... 4 potatoes _require____10min.

1 potato will require____10/4 =2.5 min ...

hope it helps..

Discussion

2.	This has to do with Ratios of Special Right Triangles. Help!
Answer» Answer: This has to do with RATIOS of SPECIAL Right Triangles? The answer is yes. Considering the right triangle GIVEN, it has ratios $x, x\sqrt{3}, 2x$ $2x$ is hypotenuse $x\sqrt{3}$ is opposite to angle 30º $x$ is adjacent to angle 30º Using Pythagorean THEOREM: $(2x)^2=x^2+(x\sqrt{3})^2$ $(2x)^2=x^2+(4)^2\\4x^2=x^2+16\\3x^2=16\\x=\frac{4}{\sqrt{3} } \\x=\frac{4\sqrt{3} }{9}$

2.

This has to do with Ratios of Special Right Triangles. Help!

Answer»

Answer:

This has to do with RATIOS of SPECIAL Right Triangles? The answer is yes.

Considering the right triangle GIVEN, it has ratios $x, x\sqrt{3}, 2x$

$2x$ is hypotenuse

$x\sqrt{3}$ is opposite to angle 30º

$x$ is adjacent to angle 30º

Using Pythagorean THEOREM:

$(2x)^2=x^2+(x\sqrt{3})^2$

$(2x)^2=x^2+(4)^2\\4x^2=x^2+16\\3x^2=16\\x=\frac{4}{\sqrt{3} } \\x=\frac{4\sqrt{3} }{9}$

Discussion

3.	Graph the function f(x) = x3 – 5x2 + 6x using the graphing calculator. What are the solutions to the related equation? Check all that apply.
Answer» it's a very TOUGH QUESTION

3.

Graph the function f(x) = x3 – 5x2 + 6x using the graphing calculator. What are the solutions to the related equation? Check all that apply.

Answer»

it's a very TOUGH QUESTION

Discussion

4.	Q3:HCF of 2 and 12 isO a) 12Ob) 24Oc) 2
Answer» HELLO, how are you? WELL, here you can solve this question (that the statement of the same ask for we find the highest COMMON factor of 2 and 12) using the method of the prime factorization. See the resolution of the same below in the practice. $\text{[math]}$ $\begin{array}{r\|l}2,12&2\\1,12\end{array}$ $\text{[math]}$ Now, that you factored both by 2 we will find the highest common factor. $\text{[math]}$ $\boxed{\mathsf{HCF=2}}$ $\text{[math]}$ Therefore, with all this conjecture that make with objective of find the highest common factor of 2 and 12 we have that the the highest common factor is 2. $\text{[math]}$ Important note : For you to use this method, both number need to be divisible by the same number, how can see 2 and 12 are divisible by 2. $\text{[math]}$ $\text{[math]}$ I have COLLABORATED !

4.

Q3:HCF of 2 and 12 isO a) 12Ob) 24Oc) 2

Answer»

HELLO, how are you?

WELL, here you can solve this question (that the statement of the same ask for we find the highest COMMON factor of 2 and 12) using the method of the prime factorization. See the resolution of the same below in the practice.

$\text{[math]}$

$\begin{array}{r|l}2,12&2\\1,12\end{array}$

$\text{[math]}$

Now, that you factored both by 2 we will find the highest common factor.

$\text{[math]}$

$\boxed{\mathsf{HCF=2}}$

$\text{[math]}$

Therefore, with all this conjecture that make with objective of find the highest common factor of 2 and 12 we have that the the highest common factor is 2.

$\text{[math]}$

Important note : For you to use this method, both number need to be divisible by the same number, how can see 2 and 12 are divisible by 2.

$\text{[math]}$

I have COLLABORATED !

Discussion

5.	Simplify the following 4√(625)^3
Answer» Answer: 125 Step-by-step EXPLANATION: (4√625)3 = (555*5)3 so 53=125

5.

Simplify the following 4√(625)^3

Answer»

Answer:

125

Step-by-step EXPLANATION:

(4√625)3

= (5*5*5*5)3

so 53=125

Discussion

6.	Solve 2^x+3 = 4^x-1 find value of x
Answer» Answer: 5. Step-by-step explanation: ⇒ 2^( x + 3 ) = 4^( x - 1 ) ⇒ 2^( x + 3 ) = ( 2^2 )^( x - 1 ) ⇒ 2^( x + 3 ) = 2^{ 2( x - 1 ) } ⇒ 2^( x + 3 ) = 2^( 2x - 2 ) Powers of two, both sides, must be EQUAL. ⇒ x + 3 = 2x - 2 ⇒ 3 + 2 = 2x - x ⇒ 5 = x HENCE the required value of x is 5. Few terms used here : 4 = 2^2 { in 2nd step, RHS } ( a^n )^m = a^( NM ) { in 3nd step, RHS }

6.

Solve 2^x+3 = 4^x-1 find value of x

Answer»

Answer:

5.

Step-by-step explanation:

⇒ 2^( x + 3 ) = 4^( x - 1 )

⇒ 2^( x + 3 ) = ( 2^2 )^( x - 1 )

⇒ 2^( x + 3 ) = 2^{ 2( x - 1 ) }

⇒ 2^( x + 3 ) = 2^( 2x - 2 )

Powers of two, both sides, must be EQUAL.

⇒ x + 3 = 2x - 2

⇒ 3 + 2 = 2x - x

⇒ 5 = x

HENCE the required value of x is 5.

Few terms used here :

4 = 2^2 { in 2nd step, RHS }

( a^n )^m = a^( NM ) { in 3nd step, RHS }

Discussion

7.	This has to do with Ratios of Special Right Triangles.
Answer» Answer: 4√3 / 3. Step-by-step explanation: From the PROPERTIES of trigonometric ratios : tan30° = 1 / √3 Here, TANGENT of 30° = height / BASE = x / 4 ⇒ tan30° = x / 4 ⇒ 1 / √3 = x / 4 ⇒ 4 / √3 = x Dividing as WELL as multiplying by √3: ⇒ ( 4 / √3 ) ( √3 / √3 ) = x ⇒ ( 4√3 ) / ( √3 * √3 ) = x ⇒ ( 4√3 ) / 3 = x ⇒ 4√3 / 3 = x HENCE, length of the side x is 4√3 / 3.

7.

This has to do with Ratios of Special Right Triangles.

Answer»

Answer:

4√3 / 3.

Step-by-step explanation:

From the PROPERTIES of trigonometric ratios :

tan30° = 1 / √3

Here,

TANGENT of 30° = height / BASE

= x / 4

⇒ tan30° = x / 4

⇒ 1 / √3 = x / 4

⇒ 4 / √3 = x

Dividing as WELL as multiplying by √3:

⇒ ( 4 / √3 ) ( √3 / √3 ) = x

⇒ ( 4√3 ) / ( √3 * √3 ) = x

⇒ ( 4√3 ) / 3 = x

⇒ 4√3 / 3 = x

HENCE, length of the side x is 4√3 / 3.

Discussion

8.	Q2:HCF of 9 and 10 isO a) 1Ob) 9Oc) 90
Answer» Answer: 1 Step-by-step EXPLANATION: divide 10 by 9 when we will divide, we get 10= 91+1 9=19+0 so we get the remainder zero hence HCF is 1

8.

Q2:HCF of 9 and 10 isO a) 1Ob) 9Oc) 90

Answer»

Answer:

1

Step-by-step EXPLANATION:

divide 10 by 9

when we will divide, we get

10= 9*1+1

9=1*9+0

so we get the remainder zero

hence HCF is 1

Discussion

9.	Q1:HCF of 6 and 9 isa) 2Ob) 54Oc) 3O d) 18
Answer» 18 Hope it HELPS.........

9.

Q1:HCF of 6 and 9 isa) 2Ob) 54Oc) 3O d) 18

Answer»

18

Hope it HELPS.........

Discussion

10.	Here are four number cards : 5179.A. Use all four cards to show the largest possible number B. Use all four cards to show a number with a value as close to 6000 as possible.
Answer» A 9715 b6175 Hope it HELP

Discussion

11.	The circumference of a circle is 30 cm.(a)Calculate the radius of the circle.(b)The length of the arc of the semi-circle is 15cm.Calculate the area of the semi-circle.
Answer» Circumference = 30 cm 2πr = 30 R = 30/2π r = 4.77 (approximately) Now, LENGTH of the ARC = 15 cm Area of semicircle = ½lr = ½× 15 × 4.77 = 35.775 cm².

11.

The circumference of a circle is 30 cm.(a)Calculate the radius of the circle.(b)The length of the arc of the semi-circle is 15cm.Calculate the area of the semi-circle.

Answer»

Circumference = 30 cm

2πr = 30

R = 30/2π

r = 4.77 (approximately)

Now,

LENGTH of the ARC = 15 cm

Area of semicircle = ½lr = ½× 15 × 4.77 = 35.775 cm².

Discussion

12.	Hiromi is painting the front and back of a barn. Each can of paint covers 32 square feet. How many cans of paint does Hiromi need to cover the entire front and back of the barn?
Answer» Its EASY HOPE it HELPS

Discussion

13.	What even 3 digit number between 75 and 150 has digits that add up to 1
Answer» Answer: 100 is UR answrr 1 + 0 + 0 = 1 pls MARK as BRANLIEST

13.

What even 3 digit number between 75 and 150 has digits that add up to 1

Answer»

Answer:

100 is UR answrr

1 + 0 + 0 = 1

pls MARK as BRANLIEST

Discussion

14.	Ghadi Ki sui Kaha rukegi yadi 5 Se prarambh Kare aur ghadi ki disha me 1/4 ghurnan kre
Answer» Its EASY HOPE it HELP

Discussion

15.	Lines and angles9 th gradeMaths Plz Answer detaily
Answer» Step-by-step EXPLANATION: We Have :- $angle \: ged \: = \: 126$ To FIND :- $angle \: egf \\ \\ \\ angle \: gef \\ \\ \\ angle \: age$ SOLUTION :- $angle \: gef \: = \: angle \: ged - angle \: fed \\ \\ \\ angle \: gef \: = 126 - 90 \\ \\ \\ angle \: gef \: = \: 36 \\ \\ \\ angle \: fge + angle \: gef \: + angle \: efg \: = 180 \\ \\ \\ fge + 36 + 90 = 180 \\ \\ \\ fge = 54 \\ \\ \\ angl \: age \: = angle \: gef + angle \: efg \\ \\ \\ age = 36 + 90 \\ \\ \\ age \: = 126$

15.

Lines and angles9 th gradeMaths Plz Answer detaily

Answer»

Step-by-step EXPLANATION:

We Have :-

$angle \: ged \: = \: 126$

To FIND :-

$angle \: egf \\ \\ \\ angle \: gef \\ \\ \\ angle \: age$

SOLUTION :-

$angle \: gef \: = \: angle \: ged - angle \: fed \\ \\ \\ angle \: gef \: = 126 - 90 \\ \\ \\ angle \: gef \: = \: 36 \\ \\ \\ angle \: fge + angle \: gef \: + angle \: efg \: = 180 \\ \\ \\ fge + 36 + 90 = 180 \\ \\ \\ fge = 54 \\ \\ \\ angl \: age \: = angle \: gef + angle \: efg \\ \\ \\ age = 36 + 90 \\ \\ \\ age \: = 126$

Discussion

16.	गीता एक वस्तु विक्री मूल्य के 4/5 मूल्य पर खरीदती है और इशे आरिम्भिक विक्री मूल्य से 15% अधिक पर बेचती है लाभ का प्रतिशत ज्ञात करें
Answer» ANSWER:गीता एक वस्तु विक्री मूल्य के 4/5 मूल्य पर खरीदती है और इशे आरिम्भिक विक्री मूल्य से 15% अधिक पर बेचती है लाभ का प्रतिशत ज्ञात करें आरिम्भिक Step-by-step EXPLANATION:

16.

गीता एक वस्तु विक्री मूल्य के 4/5 मूल्य पर खरीदती है और इशे आरिम्भिक विक्री मूल्य से 15% अधिक पर बेचती है लाभ का प्रतिशत ज्ञात करें

Answer»

ANSWER:गीता एक वस्तु विक्री मूल्य के 4/5 मूल्य पर खरीदती है और इशे आरिम्भिक विक्री मूल्य से 15% अधिक पर बेचती है लाभ का प्रतिशत ज्ञात करें

आरिम्भिक

Step-by-step EXPLANATION:

Discussion

17.	Hey mates !Two black kings and two black jacks are removed from a pack of 52 cards. Find the probability of getting:a) a card of clubs b) a king c) a black card d) a red kingd) either a red card or a king e) neither an ace nor a kingf) a jack,queen or a kingplease help me
Answer» Answer: a) 11/48 B) 1/24 c) 11/24 d) 1/24 d) 13/24 e) 11/12 f) 1/6 Step-by-step explanation: a) S= {48 cards} A = {11 black cards} n(A) = 11 p(A) = 11/48 b) B = {2 kings} n(B) = 2 p(B) = 2/48 = 1/24 c) C = {22 black cards} n(C) = 22 p(C) = 22/48 = 11/24... I STOP here...as SAID by u HOPE MY ANSWERS HELP U...

17.

Hey mates !Two black kings and two black jacks are removed from a pack of 52 cards. Find the probability of getting:a) a card of clubs b) a king c) a black card d) a red kingd) either a red card or a king e) neither an ace nor a kingf) a jack,queen or a kingplease help me

Answer»

Answer:

a) 11/48

B) 1/24

c) 11/24

d) 1/24

d) 13/24

e) 11/12

f) 1/6

Step-by-step explanation:

a) S= {48 cards}

A = {11 black cards}

n(A) = 11

p(A) = 11/48

b) B = {2 kings}

n(B) = 2

p(B) = 2/48

= 1/24

c) C = {22 black cards}

n(C) = 22

p(C) = 22/48

= 11/24...

I STOP here...as SAID by u

HOPE MY ANSWERS HELP U...

Discussion

18.	Find the value of the following (1/64)^-5/6
Answer» Answer: 32 Step-by-step EXPLANATION: (1/64)-5/6 =( (1/2)6)-5/6 = (1/2)6-5/6 = (1/2)-5 = 1/(1/2)5 = 1/(1/32) =132= 32

18.

Find the value of the following (1/64)^-5/6

Answer»

Answer:

32

Step-by-step EXPLANATION:

(1/64)-5/6

=( (1/2)6)-5/6

= (1/2)6*-5/6

= (1/2)-5

= 1/(1/2)5

= 1/(1/32)

=1*32= 32

Discussion

19.	What's difference b/w integration and differentiation
Answer» Step-by-step EXPLANATION: both are OPPOSITE to each other

19.

What's difference b/w integration and differentiation

Answer»

Step-by-step EXPLANATION:

both are OPPOSITE to each other

Discussion

20.	Sum of integer between -5 and -1 is -6 true or false
Answer» it's TRUE -5-1 => -6 Hope it HELPS.........

20.

Sum of integer between -5 and -1 is -6 true or false

Answer»

it's TRUE

-5-1 => -6

Hope it HELPS.........

Discussion

21.	What is absestos⚔️⚔️ᏒᏗᎷ ᏰᏂᏦᏖ⚔️⚔️
Answer» Step-by-step EXPLANATION: PLZ MARK me as a BRAINLIST

21.

What is absestos⚔️⚔️ᏒᏗᎷ ᏰᏂᏦᏖ⚔️⚔️

Answer»

Step-by-step EXPLANATION:

PLZ MARK me as a BRAINLIST

Discussion

22.	. Log 2 = 0.301, log 3 = 0.477, log 5 = 0.699 and log 7 = 0.845 Using this information only, find:- a) Log 2.4 b) Log 6/7
Answer» ANSWER: LOG 6/7 = Log6-log7 = (0.477+0.301) - 0.845 = *-0.67. Log2.4 = Log24/10 = Log(2×2×2×3)/10 =3 Log2+Log3 -Log 10 = 0.903-0.477 = 1.380-1 = 0.380*. hope it helps...

22.

. Log 2 = 0.301, log 3 = 0.477, log 5 = 0.699 and log 7 = 0.845 Using this information only, find:- a) Log 2.4 b) Log 6/7

Answer»

ANSWER:

LOG 6/7 = Log6-log7 = (0.477+0.301) - 0.845 = -0.67.

Log2.4 = Log24/10 = Log(2×2×2×3)/10 =3 Log2+Log3 -Log 10 = 0.903-0.477 = 1.380-1 = 0.380.

hope it helps...

Discussion

23.	The radius of a circle is 1 unitWhat is the diameter of the circle?
Answer» DIAMETER = 2 × RADIUS => 2×1 => 2 UNITS HOPE it helps..........

23.

The radius of a circle is 1 unitWhat is the diameter of the circle?

Answer»

DIAMETER = 2 × RADIUS

=> 2×1 => 2 UNITS

HOPE it helps..........

Discussion

24.	All integers are whole number
Answer» ANSWER: no all WHOLE NUMBERS are INTEGERS ......

24.

All integers are whole number

Answer»

ANSWER:

no all WHOLE NUMBERS are INTEGERS ......

Discussion

25.	The volume of this cylinder is 374.17496 cubic feet. What is the radius?Use ≈ 3.14 and round your answer to the nearest hundredth explain please
Answer» The ANSWER cannot be GIVEN as we need two values to CALCULATE the VOLUME of the CYLINDER.

Discussion

26.	1/7 of a money is deposited at 4% per annum , ½ of a money deposited at 5% per annumand the remaining at the rate of 6%, then total interest gained `730 find deposit amount is.
Answer» Answer: deposited amount is 14000 Step-by-step explanation: Let, 'X' be the deposited amount amount deposited at 6% rate=x -(1/7 of x + 1/2 of x) =x -(x/7 + x/2) =x - (2x+7x)/14 =x - 9X/14 =(14x - 9x)/14 =5/14 of x According to the condition of the question => 4% of (1/7 of x) +5% of (1/2 of x) +6% of (5/14 of x) =730 => 4/100(x/7) +5/100(x/2) +6/100(5x/14) =730 => 4x/700 +5x/200 + 30x/1400 =730 => (8X +35x + 30x)/1400 =730 => 73x/1400 = 730 => x = (7301400)/73 => x = 101400 => x= 14000 so, deposited amount = 14000

26.

1/7 of a money is deposited at 4% per annum , ½ of a money deposited at 5% per annumand the remaining at the rate of 6%, then total interest gained `730 find deposit amount is.

Answer»

Answer:

deposited amount is 14000

Step-by-step explanation:

Let, 'X' be the deposited amount

amount deposited at 6% rate=x -(1/7 of x + 1/2 of x)

=x -(x/7 + x/2)

=x - (2x+7x)/14

=x - 9X/14

=(14x - 9x)/14

=5/14 of x

According to the condition of the question

=> 4% of (1/7 of x) +5% of (1/2 of x) +6% of (5/14 of x) =730

=> 4/100(x/7) +5/100(x/2) +6/100(5x/14) =730

=> 4x/700 +5x/200 + 30x/1400 =730

=> (8X +35x + 30x)/1400 =730

=> 73x/1400 = 730

=> x = (730*1400)/73

=> x = 10*1400

=> x= 14000

so,

deposited amount = 14000

Discussion

27.	PLZZ SOLVE THE EQUATION USING FACTORISATION METHOD
Answer» Step-by-step explanation: 6z^2 - 11z + 15 = 12Z - 5 6z^2 - 11z - 12z + 15 + 5 =0 6z^2 - 23z + 20 =0 6z^2 - 8z - 15z + 20 =0 2Z(3Z - 4) - 5(3z - 4) =0 (2z - 5) ( 3z - 4) = 0 z = 5/2 , 4/3 hope it helps you

27.

PLZZ SOLVE THE EQUATION USING FACTORISATION METHOD

Answer»

Step-by-step explanation:

6z^2 - 11z + 15 = 12Z - 5

6z^2 - 11z - 12z + 15 + 5 =0

6z^2 - 23z + 20 =0

6z^2 - 8z - 15z + 20 =0

2Z(3Z - 4) - 5(3z - 4) =0

(2z - 5) ( 3z - 4) = 0

z = 5/2 , 4/3

hope it helps you

Discussion

28.	Lines and angles9 th gradeMaths
Answer» < APQ = x = 50° (ALTERNATE ANGLES) ______________________________ < APQ + y = 127° (Alternate angles) 50 + y = 127 y = 127 - 50 y = 77° Hence, x = 50°, y = 77°

28.

Lines and angles9 th gradeMaths

Answer»

< APQ = x = 50° (ALTERNATE ANGLES)

______________________________

< APQ + y = 127° (Alternate angles)

50 + y = 127

y = 127 - 50

y = 77°

Hence, x = 50°, y = 77°

Discussion

29.	What is wurtz reaction⚔️⚔️ᏒᏗᎷ ᏰᏂᏦᏖ⚔️⚔️
Answer» Step-by-step EXPLANATION: SEE the attachment l HOPE it is HELPFUL to you.

29.

What is wurtz reaction⚔️⚔️ᏒᏗᎷ ᏰᏂᏦᏖ⚔️⚔️

Answer»

Step-by-step EXPLANATION:

SEE the attachment

l HOPE it is HELPFUL to you.

Discussion

30.	tum gadi chlate huye mumbai se puna ja rhe ho..to pura distance 175 km h.. or gadi KO speed 60/ km / h hai... petrol ki kimat 68rs Litr h ...or gadi me kul 4 ladke baithe hai... quotion aisa h Ki gadi chlane wale d.o. b ky hai
Answer» ANSWER: GADI chalane WALE KI d.o.b = my d.o.b As me Gadi chala RAHA hu na... nice TRICK to ask d.o.b ...

30.

tum gadi chlate huye mumbai se puna ja rhe ho..to pura distance 175 km h.. or gadi KO speed 60/ km / h hai... petrol ki kimat 68rs Litr h ...or gadi me kul 4 ladke baithe hai... quotion aisa h Ki gadi chlane wale d.o. b ky hai

Answer»

ANSWER:

GADI chalane WALE KI d.o.b = my d.o.b

As me Gadi chala RAHA hu na...

nice TRICK to ask d.o.b

...

Discussion

31.	Find the value of the following (1/9)^-1/2
Answer» ANSWER: ${ \frac{1}{9} }^{ \frac{ - 1}{2} } = {9}^{ \frac{1}{2} } = \sqrt{9} = 3$

31.

Find the value of the following (1/9)^-1/2

Answer»

ANSWER:

${ \frac{1}{9} }^{ \frac{ - 1}{2} } = {9}^{ \frac{1}{2} } = \sqrt{9} = 3$

Discussion

32.	I need the answer of this
Answer» Answer: radius of smaller circle is LESS than 0.5 unit Step-by-step explanation: radius of lager circle is almost EQUAL to DIAMETER of smaller circle. so we can SAY that radius of smaller circle is less than or equal to 0.5 unit.

32.

I need the answer of this

Answer»

Answer:

radius of smaller circle is LESS than 0.5 unit

Step-by-step explanation:

radius of lager circle is almost EQUAL to DIAMETER of smaller circle.

so we can SAY that radius of smaller circle is less than or equal to 0.5 unit.

Discussion

33.	What is 3-5a=69plz help
Answer» Answer: 3-5a=69 5a=69+3 5a=72 a=72/5 a=14.4 answer Step-by-step EXPLANATION: PLEASE FOLLOW me I will follow BACK

33.

What is 3-5a=69plz help

Answer»

Answer:

3-5a=69

5a=69+3

5a=72

a=72/5

a=14.4 answer

Step-by-step EXPLANATION:

PLEASE FOLLOW me I will follow BACK

Discussion

34.	(ab+cd)^2 = (a^2+c^2) (b^2+d^2) prove that a/b = c/d
Answer» Answer: Proved below. Step-by-step explanation: Here, a / B = c / d ⇒ ad = cb ...( 1 ) ⇒ ( ad )^2 = ( cb )^2 ..( 2 ) Now, ⇒ ( ab + cd )^2 ⇒ ( ab )^2 + ( cd )^2 + 2( ab )( cd ) { USING ( a + b )^2 = a^2 + b^2 + 2AB } ⇒ ( ab )^2 + ( cd )^2 + 2( abcd ) ⇒ ( ab )^2 + ( cd )^2 + 2( ad )( cb ) ⇒ ( ab )^2 + ( cd )^2 + 2( cb )( cb ) { ad = cb } ⇒ ( ab )^2 + ( cd )^2 + 2( cb )^2 ⇒ ( ab )^2 + ( cd )^2 + ( cb )^2 + ( cb )^2 ⇒ ( ab )^2 + ( cb )^2 + ( cd )^2 + ( ad )^2 ⇒ b^2( a^2 + c^2 ) + d^2( c^2 + a^2 ) { cb = ad } ⇒ ( a^2 + c^2 )( b^2 + d^2 ) Hence, ( ab + cd )^2 = ( a^2 + c^2 )( b^2 + d^2 )

34.

(ab+cd)^2 = (a^2+c^2) (b^2+d^2) prove that a/b = c/d

Answer»

Answer:

Proved below.

Step-by-step explanation:

Here,

a / B = c / d

⇒ ad = cb ...( 1 )

⇒ ( ad )^2 = ( cb )^2 ..( 2 )

Now,

⇒ ( ab + cd )^2

⇒ ( ab )^2 + ( cd )^2 + 2( ab )( cd ) { USING ( a + b )^2 = a^2 + b^2 + 2AB }

⇒ ( ab )^2 + ( cd )^2 + 2( abcd )

⇒ ( ab )^2 + ( cd )^2 + 2( ad )( cb )

⇒ ( ab )^2 + ( cd )^2 + 2( cb )( cb ) { ad = cb }

⇒ ( ab )^2 + ( cd )^2 + 2( cb )^2

⇒ ( ab )^2 + ( cd )^2 + ( cb )^2 + ( cb )^2

⇒ ( ab )^2 + ( cb )^2 + ( cd )^2 + ( ad )^2

⇒ b^2( a^2 + c^2 ) + d^2( c^2 + a^2 ) { cb = ad }

⇒ ( a^2 + c^2 )( b^2 + d^2 )

Hence,

( ab + cd )^2 = ( a^2 + c^2 )( b^2 + d^2 )

Discussion

35.	What is estirificationmood off hai pr pta nhi kyu xd...xd..⚔️⚔️ᏒᏗᎷ ᏰᏂᏦᏖ⚔️⚔️
Answer» Answer: an ESTER is a chemical COMPOUND derived from an acid in which at LEAST ONE –OH group is replaced by an –O–alkyl group. Usually, esters are derived from a carboxylic acid and an ALCOHOL.

35.

What is estirificationmood off hai pr pta nhi kyu xd...xd..⚔️⚔️ᏒᏗᎷ ᏰᏂᏦᏖ⚔️⚔️

Answer»

Answer:

an ESTER is a chemical COMPOUND derived from an acid in which at LEAST ONE –OH group is replaced by an –O–alkyl group. Usually, esters are derived from a carboxylic acid and an ALCOHOL.

Discussion

36.	0 is greter or less than -2
Answer» 0 is GREATER than -2 HOPE it HELPS...........

36.

0 is greter or less than -2

Answer»

0 is GREATER than -2

HOPE it HELPS...........

Discussion

37.	128 cubic feet of firewood equals 1 cord of wood. If I have 2432 cubic feet of wood, how many cords do I have?
Answer» ANSWER: Step-by-step EXPLANATION: = 2432/128 = 19

37.

128 cubic feet of firewood equals 1 cord of wood. If I have 2432 cubic feet of wood, how many cords do I have?

Answer»

ANSWER:

Step-by-step EXPLANATION:

= 2432/128

= 19

Discussion

38.	-60 is greater than or less than50
Answer» ANSWER: hi mate it is greater than 50 I HOPE it's HELPS you THANK you

38.

-60 is greater than or less than50

Answer»

ANSWER:

hi mate

it is greater than 50

I HOPE it's HELPS you THANK you

Discussion

39.	0 is greatr or less than1
Answer» ANSWER: 0 is LESS than 1 please MARK as BRAINLIEST answer

39.

0 is greatr or less than1

Answer»

ANSWER:

0 is LESS than 1

please MARK as BRAINLIEST answer

Discussion

40.	A completes a work in 8 days a day working in 25 days. A started work and worked for one day and the next day B joined him which is twice as efficient as A. The next day C also joined, which is three times more efficient than A and the process continues until the work is completed. If they are 4 hours. If you work the days, then in how many days the total work will be completed.
Answer» The SUM of the INTEGER between -5 and -1 is -6

Discussion

41.	Solve the equation by completingthe square method. x^2+3x+1=0
Answer» ANSWER: its roots are -1,-2 Step-by-step explanation: use FORMULA (-b +-√b²-4ac)/2a here a=1 b=3 c=1 u will GET 2 roots (-3+-√9-8)/2 (-3+-1)/2 i.e -3-1/2 or -3+1/2 -4/2 or -2/2 so roots are -2,-1.

41.

Solve the equation by completingthe square method. x^2+3x+1=0

Answer»

ANSWER:

its roots are -1,-2

Step-by-step explanation:

use FORMULA (-b +-√b²-4ac)/2a

here a=1

b=3

c=1

u will GET 2 roots

(-3+-√9-8)/2

(-3+-1)/2

i.e -3-1/2 or -3+1/2

-4/2 or -2/2

so roots are -2,-1.

Discussion

42.	What is 9×0.6= equel
Answer» $9 \times 0.6 = 5.4$ HOPE it HELPS. ❤️❤️

42.

What is 9×0.6= equel

Answer»

$9 \times 0.6 = 5.4$

HOPE it HELPS. ❤️❤️

Discussion

43.	-62 is greater or less than to -90
Answer» ANSWER: -62 is GREATER than -90 ....

43.

-62 is greater or less than to -90

Answer»

ANSWER:

-62 is GREATER than -90 ....

Discussion

44.	AM of two numbers is 17 and GM is 15 find HM
Answer» Step-by-step EXPLANATION: AM * HM = GM^2 => 17 * HM = 15^2 => HM = 225/17

44.

AM of two numbers is 17 and GM is 15 find HM

Answer»

Step-by-step EXPLANATION:

AM * HM = GM^2

=> 17 * HM = 15^2

=> HM = 225/17

Discussion

45.	Find the value of the following (27)^-1/3
Answer» ANSWER: $\large\boxed{\sf{\dfrac{1}{3}}}$ Step-by-step explanation: To FIND the value of, ${(27)}^{ - \frac{1}{3} }$ We know that, $27 = {3}^{3}$ THEREFORE, substituting the VALUES, we get, $= {( {3}^{3}) }^{ - \frac{1}{3} }$ Now, we know that, ${( {a}^{m} )}^{n} = {a}^{mn}$ Therefore, we will get, $= {3}^{3 \times ( - \frac{1}{3}) } \\ \\ = {3}^{ - 3 \times \frac{1}{3} }$ Therefore, we will get, $= {3}^{ - 1}$ But, we know that, ${x}^{ - 1} = \dfrac{1}{x}$ Therefore, we will get, $= \dfrac{1}{3}$ HENCE, the required value is 1/3.

45.

Find the value of the following (27)^-1/3

Answer»

ANSWER:

$\large\boxed{\sf{\dfrac{1}{3}}}$

Step-by-step explanation:

To FIND the value of,

${(27)}^{ - \frac{1}{3} }$

We know that,

$27 = {3}^{3}$

THEREFORE, substituting the VALUES, we get,

$= {( {3}^{3}) }^{ - \frac{1}{3} }$

Now, we know that,

${( {a}^{m} )}^{n} = {a}^{mn}$

Therefore, we will get,

$= {3}^{3 \times ( - \frac{1}{3}) } \\ \\ = {3}^{ - 3 \times \frac{1}{3} }$

Therefore, we will get,

$= {3}^{ - 1}$

But, we know that,

${x}^{ - 1} = \dfrac{1}{x}$

Therefore, we will get,

$= \dfrac{1}{3}$

HENCE, the required value is 1/3.

Discussion

46.	Find the total number of triangles in above triangle and explain also
Answer» 1,2,3,4,5,6,7,8,9,10,11,12,13 its 13 triangles 13

46.

Find the total number of triangles in above triangle and explain also

Answer»

1,2,3,4,5,6,7,8,9,10,11,12,13

its 13 triangles

13

Discussion

47.	X^2 +2 under root 3x-24
Answer» I can't UNDERSTAND the VALUES CLEARLY

Discussion

48.	There are 4 pecks in a bushel. If Farmer Brown harvests 89 bushels of grain, how many pecks of grain does he have?
Answer» ANSWER: Therefore, there are 356 PECKS in a bushel. Step-by-step explanation: 4p = b 89b = (89 X 4)p 89b = 356p

48.

There are 4 pecks in a bushel. If Farmer Brown harvests 89 bushels of grain, how many pecks of grain does he have?

Answer»

ANSWER:

Therefore, there are 356 PECKS in a bushel.

Step-by-step explanation:

4p = b

89b = (89 X 4)p

89b = 356p

Discussion

49.	What is the square root of minus iota
Answer» *The* *SQUARE* of a *NUMBER* is *the* *PRODUCT* of *the* *number* *with* *the* *number* *itself*.

Discussion

50.	6x^2-x-2 by middle term splitting
Answer» 6x² - X - 2 => 6x² - 4x + 3X - 2 => 2x ( 3x -2 ) + 1 ( 3x - 2 ) => (2x + 1 ) (3x - 2)

50.

6x^2-x-2 by middle term splitting

Answer»

6x² - X - 2

=> 6x² - 4x + 3X - 2

=> 2x ( 3x -2 ) + 1 ( 3x - 2 )

=> (2x + 1 ) (3x - 2)

Discussion

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