332354 + Interview Questions in Secondary School in Math

1.	1. Compare the two units.2. Find the conversion factors that gives the appropriate ratio to the given unit.3. Write the conversion as a fraction, where the denominator is in the same unitas the given unit.4. Write a multiplication problem with the original number and the fraction5. Cancel out similar units that appears on the numerator and denominator.6. Solve.
Answer» Step-by-step EXPLANATION: hehdheieieib3beidjenjjcif

1.

1. Compare the two units.2. Find the conversion factors that gives the appropriate ratio to the given unit.3. Write the conversion as a fraction, where the denominator is in the same unitas the given unit.4. Write a multiplication problem with the original number and the fraction5. Cancel out similar units that appears on the numerator and denominator.6. Solve.

Answer»

Step-by-step EXPLANATION:

hehdheieieib3beidjenjjcif

Discussion

2.	Question 13:-After the construction of the bypass road the distance saved in reaching Barogh from Alwahwill bea) 10 kmb) 2 kmc) 6 kmd) 16 km
Answer» Given : The road from Alwah to Chagotar, is exactly perpendicular to the road going from Chagotkar to Barogh. The distance covered by the road between Chagotkar and Barogh is 7 kilometers more that the distance of the road connecting Alwah and Chagotkar. Ayushi is an engineer looking after the project of building a DIRECT bypass road that would connect Alwah and Barogh and has PROPOSED to construct a 17 km direct bypass road between the two CITIES. To Find : After the CONSTRUCTION of the bypass road the distance saved in reaching Barogh from Alwah will be a) 10 km b) 2 km c) 6 km d) 16 km Solution : Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides. x² + (x + 7)² = 17² => x² + x² + 14x + 49 = 289 => 2x² + 14x - 240 = 0 => x² + 7x - 120 = 0 => (x + 15)(x - 8) = 120 => x = 8 x can not be -ve x = 8 x + 7 = 15 8 + 15 = 23 km 23 - 17 = 6 km After the construction of the bypass road the distance saved in reaching Barogh from Alwah will be 6 km Learn More: The equation which represents the above situation algebraically brainly.in/question/35148081 The equation which represents the above situation algebraically i brainly.in/question/35407747

2.

Question 13:-After the construction of the bypass road the distance saved in reaching Barogh from Alwahwill bea) 10 kmb) 2 kmc) 6 kmd) 16 km

Answer»

Given : The road from Alwah to Chagotar, is exactly perpendicular to the road going from Chagotkar to Barogh.

The distance covered by the road between Chagotkar and Barogh is 7 kilometers more that the distance of the road connecting Alwah and Chagotkar.

Ayushi is an engineer looking after the project of building a DIRECT bypass road that would connect Alwah and Barogh and has PROPOSED to construct a 17 km direct bypass road between the two CITIES.

To Find :

After the CONSTRUCTION of the bypass road the distance saved in reaching Barogh from Alwah will be

a) 10 km

b) 2 km

c) 6 km

d) 16 km

Solution :

Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.

x² + (x + 7)² = 17²

=> x² + x² + 14x + 49 = 289

=> 2x² + 14x - 240 = 0

=> x² + 7x - 120 = 0

=> (x + 15)(x - 8) = 120

=> x = 8 x can not be -ve

x = 8

x + 7 = 15

8 + 15 = 23 km

23 - 17 = 6 km

After the construction of the bypass road the distance saved in reaching Barogh from Alwah will be 6 km

Learn More:

The equation which represents the above situation algebraically

brainly.in/question/35148081

The equation which represents the above situation algebraically i

brainly.in/question/35407747

Discussion

3.	Simplify: 3√75 + 4√27 –7√45
Answer» Answer: HEY friend,Here is the answer you were looking for:4√27 + 7√12 - 2√75 + 5√81=4√(3×3×3) Step-by-step explanation: Simplify:- 4√27 + 7√12 –2√75 + 5 √81. Get the ... =4√(3×3×3) + 7√(2×2×3) - 2√(5×5× 3) + 5√(9×9) =4×3√3 + ... 12√3 + 14√3 - 10√3 + 45

3.

Simplify: 3√75 + 4√27 –7√45

Answer»

Answer:

HEY friend,Here is the answer you were looking for:4√27 + 7√12 - 2√75 + 5√81=4√(3×3×3)

Step-by-step explanation:

Simplify:- 4√27 + 7√12 –2√75 + 5 √81. Get the ... =4√(3×3×3) + 7√(2×2×3) - 2√(5×5× 3) + 5√(9×9) =4×3√3 + ... 12√3 + 14√3 - 10√3 + 45

Discussion

4.	6) Solve : 3x-2/2x+1 = 4/5 *
Answer» Answer: 3x-2/2x+1 = 4/5 1st should do CROSS multiplication 5(3x-2)=4(2x+1) 15x-10=8x+4 15x-8x=4+10 7x=14 x=14/7 x=2

4.

6) Solve : 3x-2/2x+1 = 4/5 *

Answer»

Answer:

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

1st should do CROSS multiplication

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

15x-10=8x+4

15x-8x=4+10

7x=14

x=14/7

x=2

Discussion

5.	5.Which one is greatest among the following: 0.76, 0.706, 0.7006, 0.70.760.7060.70060.7
Answer» ANSWER: May be the answer of this question is 0.7006. Hope it's HELPFUL to you. According to my point of VIEW this is the CORRECT answer.

5.

5.Which one is greatest among the following: 0.76, 0.706, 0.7006, 0.70.760.7060.70060.7

Answer»

ANSWER:

May be the answer of this question is 0.7006.

Hope it's HELPFUL to you.

According to my point of VIEW this is the CORRECT answer.

Discussion

6.	Convert 7 years 5 months into months
Answer» ANSWER: THE ANSWER IS 104 Step-by-step explanation: 7x7= 49 2. 49+5= 104

6.

Convert 7 years 5 months into months

Answer»

ANSWER:

THE ANSWER IS 104

Step-by-step explanation:

7x7= 49 2. 49+5= 104

Discussion

7.	Find an Irrational number between 2.011243 and 2.0122
Answer» Answer: 0.220 Step-by-step EXPLANATION: HOPE this HELPS you MATE !!!!!

7.

Find an Irrational number between 2.011243 and 2.0122

Answer»

Answer:

0.220

Step-by-step EXPLANATION:

HOPE this HELPS you MATE !!!!!

Discussion

8.	Write name of the one pair of interior angle on one side of the transversal
Answer» $\Huge{\textbf{\textsf{{\color{navy}{ans}}{\purple{wer}}{\pink{}}{\color{pink}{:)}}}}}$ Step-by-step EXPLANATION: When TWO lines are cut by a TRANSVERSAL, the PAIRS of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.

8.

Write name of the one pair of interior angle on one side of the transversal

Answer»

$\Huge{\textbf{\textsf{{\color{navy}{ans}}{\purple{wer}}{\pink{}}{\color{pink}{:)}}}}}$

Step-by-step EXPLANATION:

When TWO lines are cut by a TRANSVERSAL, the PAIRS of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.

Discussion

9.	A0of contacttheNameNameIfpointsexternalpointthen AD + CD =BD = 7cmA
Answer» ANSWER: I don't KNOW that what is your QUESTION because I am WEAK in MATHEMATICS

9.

A0of contacttheNameNameIfpointsexternalpointthen AD + CD =BD = 7cmA

Answer»

ANSWER:

I don't KNOW that what is your QUESTION because I am WEAK in MATHEMATICS

Discussion

10.	Find the ratio of the first quantity tothe second quantity in the reducedform: 3000ml, 6 litres
Answer» 3:6 Step-by-step explanation: 3000ml :6LITRES 3000ml:6000ml 3000ml:6000ml. 3:6

10.

Find the ratio of the first quantity tothe second quantity in the reducedform: 3000ml, 6 litres

Answer»

3:6

Step-by-step explanation:

3000ml :6LITRES

3000ml:6000ml

3000ml:6000ml.

3:6

Discussion

11.	Question 13:-After the construction of the bypass road the distance saved in reaching Barogh from Alwwill be-a) 10 kmb) 2 kmc) 6 kmd) 16 kmnetien 14.
Answer» ANSWER: D IS THE RIGHT ANSWER Step-by-step explanation: PLZ MARK AS BRAINLIST ANSWER AND FOLLOW

11.

Question 13:-After the construction of the bypass road the distance saved in reaching Barogh from Alwwill be-a) 10 kmb) 2 kmc) 6 kmd) 16 kmnetien 14.

Answer»

ANSWER:

D IS THE RIGHT ANSWER

Step-by-step explanation:

PLZ MARK AS BRAINLIST ANSWER AND FOLLOW

Discussion

12.	If the figure a is parallel to b and c is parallel to d then name the angles that are congruent to angle 1 and angle 2
Answer» ANSWER: FRND at FIRST TAKE out transversal Step-by-step EXPLANATION:

12.

If the figure a is parallel to b and c is parallel to d then name the angles that are congruent to angle 1 and angle 2

Answer»

ANSWER:

FRND at FIRST TAKE out transversal

Step-by-step EXPLANATION:

Discussion

13.	(3) x + y = 0 ; 2x - y = 9
Answer» Step-by-step explanation: X+y=0 x=-y therefore, 2x - y= 9 2(-y) -y=9 -2y-y=9 -3y=9 y=9/-3 y= -3 so, x+y=0 x-3=0 x= 3

13.

(3) x + y = 0 ; 2x - y = 9

Answer»

Step-by-step explanation:

X+y=0

x=-y

therefore, 2x - y= 9

2(-y) -y=9

-2y-y=9

-3y=9

y=9/-3

y= -3

so, x+y=0

x-3=0

x= 3

Discussion

14.	The ratio of the present ages of Ram and Shyam is 5:9.Five years before, ratio of their ages is given by
Answer» The RATIO will be 5x-5 : 9x-5 Step-by-step explanation: LET RAM's age be 5x. (Where x is a common factor of both ages) Let SHYAM's age be 9x. Five years ago, Ram's age= 5x-5 Shyam's age= 9x-5 So, the ratio will be 5x-5 : 9x-5 Therefore, 5 years ago the ratio of the ages of Ram and Shyam was 5x-5 : 9x-5. Hope it HELPED: )

14.

The ratio of the present ages of Ram and Shyam is 5:9.Five years before, ratio of their ages is given by

Answer»

The RATIO will be 5x-5 : 9x-5

Step-by-step explanation:

LET RAM's age be 5x. (Where x is a common factor of both ages)

Let SHYAM's age be 9x.

Five years ago,

Ram's age= 5x-5

Shyam's age= 9x-5

So, the ratio will be

5x-5 : 9x-5

Therefore, 5 years ago the ratio of the ages of Ram and Shyam was

5x-5 : 9x-5.

Hope it HELPED: )

Discussion

15.	524. एक हवाई जहाज समुद्र तल से 1900 मीटर ऊपर उड़ रहा है। ठीक इसी समय एक पनडुब्बी समुद्र तल से 600मीटर नीचे स्थित है। हवाई जहाज और पनडुब्बी के बीच का अंतर ज्ञात कीजिए?
Answer» Ans: 2500 Hawai jahaj ka TAL samundra se + 1900 METERS pandubbi ka tal samundra se 600 meters ANTAR= 1900_(-600) =1900+600 2500

15.

524. एक हवाई जहाज समुद्र तल से 1900 मीटर ऊपर उड़ रहा है। ठीक इसी समय एक पनडुब्बी समुद्र तल से 600मीटर नीचे स्थित है। हवाई जहाज और पनडुब्बी के बीच का अंतर ज्ञात कीजिए?

Answer»

Ans: 2500

Hawai jahaj ka TAL samundra se + 1900 METERS

pandubbi ka tal samundra se 600 meters

ANTAR= 1900_(-600)

=1900+600

2500

Discussion

16.	Find the value of x if lim and a b100°х, а80°b
Answer» ANSWER: the VALUE of X is MAY be 80

16.

Find the value of x if lim and a b100°х, а80°b

Answer»

ANSWER:

the VALUE of X is MAY be 80

Discussion

17.	4) Find the length of the base of aparallelogram with height 6.4 cmsand area 83.2 sqcm.*
Answer»

Discussion

18.	Which of the following is exempted income?
Answer»

Discussion

19.	Find the product 5pq(p power2 -qpower2)
Answer» Step-by-step EXPLANATION: FIND the PRODUCT 2X(3y+5y)

19.

Find the product 5pq(p power2 -qpower2)

Answer»

Step-by-step EXPLANATION:

FIND the PRODUCT 2X(3y+5y)

Discussion

20.	3.Write expression for: p multiplied by -55p-5p1/5pnone of these
Answer» ANSWER: -5P is the CORRECT answer

20.

3.Write expression for: p multiplied by -55p-5p1/5pnone of these

Answer»

ANSWER:

-5P is the CORRECT answer

Discussion

21.	Factorise :-
Answer» ANSWER: (x-2) (x-3) (x^2+2x+4) (x^2+3x+9) Step-by-step EXPLANATION: MARK me BRAINLIEST

21.

Factorise :-

Answer»

ANSWER:

(x-2) (x-3) (x^2+2x+4) (x^2+3x+9)

Step-by-step EXPLANATION:

MARK me BRAINLIEST

Discussion

22.	What is abscissa of the point A(-1/2,0)?
Answer» ANSWER: ABSCISSA is NOTHING but the POINT on x-axis. So here the abscissa is - 1/2

22.

What is abscissa of the point A(-1/2,0)?

Answer»

ANSWER:

ABSCISSA is NOTHING but the POINT on x-axis.

So here the abscissa is - 1/2

Discussion

23.	A (1,2) and B(5,8) are two points on a line and M is the midpoint of AB.a) What is the slope of this line ? b) What is the slope of another line parallel to the line passing through A and B ?c) Write the coordinates of the midpoint of line AB.
Answer» I HOPE you SATISFIED with my answer. please MARK as BRAINLIEST..

23.

A (1,2) and B(5,8) are two points on a line and M is the midpoint of AB.a) What is the slope of this line ? b) What is the slope of another line parallel to the line passing through A and B ?c) Write the coordinates of the midpoint of line AB.

Answer»

I HOPE you SATISFIED with my answer.

please MARK as BRAINLIEST..

Discussion

24.	E2x2  5x  e2  0 ?
Answer» ANSWER: CLICK on the THANKS BUTTON

24.

E2x2  5x  e2  0 ?

Answer»

ANSWER:

CLICK on the THANKS BUTTON

Discussion

25.	What isthe answer of 4√3*4√3
Answer» $\large\fbox\red{Answer}$ $4 \sqrt{3} \times 4 \sqrt{3} \\ \\ = 16 \sqrt{9} \\ \\ = 16 \sqrt{3 \times 3} \\ \\ = 16 \times 3 \\ \\ = 48$ THNKU :)

25.

What isthe answer of 4√3*4√3

Answer»

$\large\fbox\red{Answer}$

$4 \sqrt{3} \times 4 \sqrt{3} \\ \\ = 16 \sqrt{9} \\ \\ = 16 \sqrt{3 \times 3} \\ \\ = 16 \times 3 \\ \\ = 48$

THNKU :)

Discussion

26.	YOwhich then whichاز ولاعمرکریا مولحم من 251دور ؛أمور مهما الليليدفولك)ا)Sothat due tient le a bezkoakperfect to
Answer» Step-by-step EXPLANATION: I don't KNOW Which LANGUAGE you are SAYING ?

26.

YOwhich then whichاز ولاعمرکریا مولحم من 251دور ؛أمور مهما الليليدفولك)ا)Sothat due tient le a bezkoakperfect to

Answer»

Step-by-step EXPLANATION:

I don't KNOW Which LANGUAGE you are SAYING ?

Discussion

27.	11. What is the equivalent fraction ofof⅜with denominator24?
Answer» Answer: 9/24 Step-by-step EXPLANATION: HOPE this HELPS you!!!!!

27.

11. What is the equivalent fraction ofof⅜with denominator24?

Answer»

Answer:

9/24

Step-by-step EXPLANATION:

HOPE this HELPS you!!!!!

Discussion

28.	A cone is 8.4cm high and the radius of its base is a 2.1 . It is melted and Recast into a sphere. Find the Radius of sphere.
Answer» The ANSWER is in ATTACHED PHOTO.

Discussion

29.	Pls answer the (a,b,c,d,e).
Answer» Step-by-step EXPLANATION: FIND the PRODUCT 2X(3y+5y)

29.

Pls answer the (a,b,c,d,e).

Answer»

Step-by-step EXPLANATION:

FIND the PRODUCT 2X(3y+5y)

Discussion

30.	45-(13)+(14)-(-15) answer
Answer» Answer: May be the answer of this question is. 45-13+14+15 = 61. Hope it's HELPFUL to you. According to my POINT of view this is the CORRECT answer.

30.

45-(13)+(14)-(-15) answer

Answer»

Answer:

May be the answer of this question is.

45-13+14+15

= 61.

Hope it's HELPFUL to you.

According to my POINT of view this is the CORRECT answer.

Discussion

31.	2. In the given figure AB \|\| CD, find the value of a.АB12aбаDс
Answer» ANSWER: the PROCESS by which green plants and some other organisms use sunlight to synthesize NUTRIENTS from carbon dioxide and water. PHOTOSYNTHESIS in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.

31.

2. In the given figure AB || CD, find the value of a.АB12aбаDс

Answer»

ANSWER:

the PROCESS by which green plants and some other organisms use sunlight to synthesize NUTRIENTS from carbon dioxide and water. PHOTOSYNTHESIS in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.

Discussion

32.	What is abscissa of the point A(-1/2,0)?
Answer» Step-by-step EXPLANATION: -1/2 is ABSCISSA of the POINT A.

32.

What is abscissa of the point A(-1/2,0)?

Answer»

Step-by-step EXPLANATION:

-1/2 is ABSCISSA of the POINT A.

Discussion

33.	Algebraic identity a²-b²=?a) (a-b)² b) (a-b)(a-b)c)(a-b)(a+b)d) (a+b)²
Answer» ANSWER: your answer is (a) (a-b)²

33.

Algebraic identity a²-b²=?a) (a-b)² b) (a-b)(a-b)c)(a-b)(a+b)d) (a+b)²

Answer»

ANSWER:

your answer is (a) (a-b)²

Discussion

34.	3) Calculate P85 for the following Data79, 82, 36, 38, 51, 72, 68, 70, 64 , 63
Answer» ANSWER: cgxguxgixt8xitcyox8tdt8xyixoycjocoojvouvjovjobjovygyfrxu9

34.

3) Calculate P85 for the following Data79, 82, 36, 38, 51, 72, 68, 70, 64 , 63

Answer»

ANSWER:

cgxguxgixt8xitcyox8tdt8xyixoycjocoojvouvjovjobjovygyfrxu9

Discussion

35.	The volume of a cylindrical can is 3.08 liter. If the area of its base is 154 sq.cm. Find its curved surface area.
Answer» Answer: Volume of CYLINDER = Area of the BASE × HEIGHT Area of base = 154 CM 2 and Height = 15 cm Therefore, Volume = 154×15=2310 cm 3

35.

The volume of a cylindrical can is 3.08 liter. If the area of its base is 154 sq.cm. Find its curved surface area.

Answer»

Answer:

Volume of CYLINDER = Area of the BASE × HEIGHT

Area of base = 154 CM

2

and Height = 15 cm

Therefore,

Volume = 154×15=2310 cm

3

Discussion

36.	Find the product 2x(3y+5y)
Answer» Step-by-step EXPLANATION: FIND the PRODUCT 2X(3y+5y)

36.

Find the product 2x(3y+5y)

Answer»

Step-by-step EXPLANATION:

FIND the PRODUCT 2X(3y+5y)

Discussion

37.	Solve:-4 + 2k =0plz solve this
Answer» ANSWER: May be the answer of this question is. 2k = 4 K = 4/2 K=2. Hope it's helpful to you. According to my POINT of VIEW this is the correct answer.

37.

Solve:-4 + 2k =0plz solve this

Answer»

ANSWER:

May be the answer of this question is.

2k = 4

K = 4/2

K=2.

Hope it's helpful to you.

According to my POINT of VIEW this is the correct answer.

Discussion

38.	A ladder 10m long rest against vertical wall of height 8m. how far is the foot from the wall
Answer» Answer: Let us consider it as a RIGHT angled triangle ABC right angled at C where AB= 10 cm AC= 8cm We have to find BC ${ab}^{2} = {bc}^{2} + {ac}^{2} \\ {ab}^{2} - {ac}^{2} = {bc}^{2} \\ {10}^{2} - {8}^{2} = {bc}^{2} \\ 100 - 64 = {bc}^{2} \\ 36 = {bc}^{2} \\ 6 = bc \\ \\ hence \: the \: foot \: of \: the \: ladder \: is \: 6m \: far \: from \: the \: wall$

38.

A ladder 10m long rest against vertical wall of height 8m. how far is the foot from the wall

Answer»

Answer:

Let us consider it as a RIGHT angled triangle ABC right angled at C where

AB= 10 cm

AC= 8cm

We have to find BC

${ab}^{2} = {bc}^{2} + {ac}^{2} \\ {ab}^{2} - {ac}^{2} = {bc}^{2} \\ {10}^{2} - {8}^{2} = {bc}^{2} \\ 100 - 64 = {bc}^{2} \\ 36 = {bc}^{2} \\ 6 = bc \\ \\ hence \: the \: foot \: of \: the \: ladder \: is \: 6m \: far \: from \: the \: wall$

Discussion

39.	If I take two - third of the total marbles and give four marbles to Manoj from it then I get 36 marbles.set up equation and solve them to find the unknown numbers in the following cases
Answer» Answer: 8 litres are DRAWN from a cask FILLED with WINE and is then filled wit

39.

If I take two - third of the total marbles and give four marbles to Manoj from it then I get 36 marbles.set up equation and solve them to find the unknown numbers in the following cases

Answer»

Answer:

8 litres are DRAWN from a cask FILLED with WINE and is then filled wit

Discussion

40.	Solve the problem( 3x - 2/3 y ) 3
Answer» ANSWER: (3x-2/3 y) 3 3×3x - 2/3×3 y 9x - 2Y THANK you

40.

Solve the problem( 3x - 2/3 y ) 3

Answer»

ANSWER:

(3x-2/3 y) 3

3×3x - 2/3×3 y

9x - 2Y

THANK you

Discussion

41.	एक आयत का क्षेत्रफल 225 सेंटीमीटर स्क्वायर है और उसकी लंबाई 17 सेंटीमीटर है तो उसकी चौड़ाई ज्ञात करें
Answer» Answer: please MARK me as brainleist please I need only ONE brainleist please HELP me

41.

एक आयत का क्षेत्रफल 225 सेंटीमीटर स्क्वायर है और उसकी लंबाई 17 सेंटीमीटर है तो उसकी चौड़ाई ज्ञात करें

Answer»

Answer:

please MARK me as brainleist please I need only ONE brainleist please HELP me

Discussion

42.	1. Find the distance between the points A (0, 3) and B (3.0).
Answer» jsjskakmsnsnsjskkjsjhfbnammanznc

Discussion

43.	Which of the following is in inverse proportion ?a) The price of apples and the quantity of apples bought.b) The population of a country and area of land per persond Area of cultivated land and the crop harvested.d) The height of a pole and the height of its shadow.
Answer» Answer: It must be C and d ji Coz both the SECOND value DECREASES as the crop harvested and the shadow will ALWAYS be LESSER

43.

Which of the following is in inverse proportion ?a) The price of apples and the quantity of apples bought.b) The population of a country and area of land per persond Area of cultivated land and the crop harvested.d) The height of a pole and the height of its shadow.

Answer»

Answer:

It must be C and d ji

Coz both the SECOND value DECREASES as the crop harvested and the shadow will ALWAYS be LESSER

Discussion

44.	a ladder 10m long rest against vertical wall of height 8m. how far is the foot of ladder from the wall
Answer» Answer: 2 m Step-by-step EXPLANATION: MARK me brainlist and PLEASE LIKE

44.

a ladder 10m long rest against vertical wall of height 8m. how far is the foot of ladder from the wall

Answer»

Answer:

2 m

Step-by-step EXPLANATION:

MARK me brainlist

and PLEASE LIKE

Discussion

45.	Ratio of numbers 'a' and 'b' is written as a:b, where 'a' is called the - - - - -
Answer» ANSWER: The numbers A and B are sometimes CALLED terms of the ratio, with A being the ANTECEDENT and B being the consequent. A statement EXPRESSING the equality of two RATIOS A∶B and C∶D is called a proportion, written as A∶B = C∶D or A∶B∷C∶D.

45.

Ratio of numbers 'a' and 'b' is written as a:b, where 'a' is called the - - - - -

Answer»

ANSWER:

The numbers A and B are sometimes CALLED terms of the ratio, with A being the ANTECEDENT and B being the consequent. A statement EXPRESSING the equality of two RATIOS A∶B and C∶D is called a proportion, written as A∶B = C∶D or A∶B∷C∶D.

Discussion

46.	Determine the solution in: x + 7 < 6
Answer» Answer: answer will be x + 7 < 6 x < 6-7 x < -1

46.

Determine the solution in: x + 7 < 6

Answer»

Answer:

answer will be

x + 7 < 6

x < 6-7

x < -1

Discussion

47.	Angle between two vector
Answer» Given : \|a + B\| = \|a - b\| To find : The angle between a and b Solution : we know that, » If two vectors of magnitudes are acting at an angle, then the MAGNITUDE of their RESULTANT is given by PARALLELOGRAM law that is, $\sf \|a + b\| = \sqrt{ {a}^{2} + {b}^{2} + 2abcos \theta }$ SIMILARLY, $\sf \|a - b\| = \sqrt{ {a}^{2} + {b}^{2} - 2abcos \theta }$ According to Question, $\dashrightarrow\sf \|a + b\| = \|a - b\|$ $\dashrightarrow\sf \sqrt{ {a}^{2} + {b}^{2} + 2abcos \theta } = \sqrt{ {a}^{2} + {b}^{2} - 2abcos \theta } \\$ $\dashrightarrow\sf {a}^{2} + {b}^{2} + 2abcos \theta = {a}^{2} + {b}^{2} - 2abcos \theta \\$ $\dashrightarrow\sf \not{a}^{2} + \not {b}^{2} + 2abcos \theta - \not{a}^{2} - \not{b}^{2} + 2abcos \theta = 0 \\$ $\dashrightarrow\sf 2ab \: cos \theta + 2ab \: cos \theta = 0$ $\dashrightarrow\sf 4ab \: cos \theta = 0$ $\dashrightarrow\sf cos \theta = 0$ $\dashrightarrow\sf cos \theta = cos \: 90 \degree$ $\dashrightarrow\sf \theta = 90 \degree$ Thus, Angle between two vectors is 90°

47.

Angle between two vector

Answer»

Given :

|a + B| = |a - b|

To find :

The angle between a and b

Solution :

we know that,

» If two vectors of magnitudes are acting at an angle, then the MAGNITUDE of their RESULTANT is given by PARALLELOGRAM law that is,

$\sf |a + b| = \sqrt{ {a}^{2} + {b}^{2} + 2abcos \theta }$

SIMILARLY,

$\sf |a - b| = \sqrt{ {a}^{2} + {b}^{2} - 2abcos \theta }$

According to Question,

$\dashrightarrow\sf |a + b| = |a - b|$

$\dashrightarrow\sf \sqrt{ {a}^{2} + {b}^{2} + 2abcos \theta } = \sqrt{ {a}^{2} + {b}^{2} - 2abcos \theta } \\$

$\dashrightarrow\sf {a}^{2} + {b}^{2} + 2abcos \theta = {a}^{2} + {b}^{2} - 2abcos \theta \\$

$\dashrightarrow\sf \not{a}^{2} + \not {b}^{2} + 2abcos \theta - \not{a}^{2} - \not{b}^{2} + 2abcos \theta = 0 \\$

$\dashrightarrow\sf 2ab \: cos \theta + 2ab \: cos \theta = 0$

$\dashrightarrow\sf 4ab \: cos \theta = 0$

$\dashrightarrow\sf cos \theta = 0$

$\dashrightarrow\sf cos \theta = cos \: 90 \degree$

$\dashrightarrow\sf \theta = 90 \degree$

Thus, Angle between two vectors is 90°

Discussion

48.	This is my question please answer fast
Answer» ANSWER: I didn't UNDERSTOOD the QUESTION SORRY

48.

This is my question please answer fast

Answer»

ANSWER:

I didn't UNDERSTOOD the QUESTION SORRY

Discussion

49.	8) 5 subtracted from twice anumber is 7 more than thenumber. Find the number*
Answer» ANSWER: LET the number be X. then, 5-2x=x+7 2x-x=7-2 x. =5 answer. that's your answer hope this will HELP you dear Mark as brainiest answer give me thanks

49.

8) 5 subtracted from twice anumber is 7 more than thenumber. Find the number*

Answer»

ANSWER:

LET the number be X.

then,

5-2x=x+7

2x-x=7-2

x. =5 answer.

that's your answer

hope this will HELP you dear

Mark as brainiest answer

give me thanks

Discussion

50.	(xiv) A bag contains 3 white, 5 black and 7 red balls, Twoballs are drawn at random. What is the probabilitythat they will both be red?(a) 7/15(b) 1/5(c)8/15(d)7/105
Answer» Answer: Since, TOTAL no. of balls = 7+5+3 = 15 (i) No. of balls that are red or white = 7+5 = 12 ∴ Required probability = 15 12 = 5 4 (ii) No. of balls that are not BLACK = 7+5 = 12 ∴ Required probability = 15 12 = 5 4 (III) No. of balls that are neither white nor black = 7 ∴ Required probability = 15 7

50.

(xiv) A bag contains 3 white, 5 black and 7 red balls, Twoballs are drawn at random. What is the probabilitythat they will both be red?(a) 7/15(b) 1/5(c)8/15(d)7/105

Answer»

Answer:

Since, TOTAL no. of balls = 7+5+3 = 15

(i) No. of balls that are red or white = 7+5 = 12

∴ Required probability =

15

12

=

5

4

(ii) No. of balls that are not BLACK = 7+5 = 12

∴ Required probability =

15

12

=

5

4

(III) No. of balls that are neither white nor black = 7

∴ Required probability =

15

7

Discussion

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