332354 + Interview Questions in Secondary School in Math

1.	Suyash scored 10 marks more in second test than that in the first test. 5 times the score of the second test is the same as square of the score in the first test. Find his score in the first test....Plz answer this I will surely mark you as brainiest...
Answer» Hii Friend Good Morning Lets solve This problem Q.quite Easy SOLUTION: Let the MARKS in his 1st TEST be x Marks in 2nd rest=x+10 As given in question 5 times the score of second test=square of 1st $5(x + 10) = {x}^{2}$ ${x}^{2} - 5x - 50 = 0$ ${x}^{2} - 10x + 5x - 50$ $x(x - 10 ) + 5( x - 10) \\( x + 5)(x - 10) \\ x - 10 = 0 \\ x = 10$ Answer=10 marks Answered by Mr.BEST See you soon DEAR "Till then stay Happy stay best"

Discussion

2.	If points (x,0),(0,y)and (1,1) are collinear then the relation between x and y is
Answer» The answer is given below : Since, the three points (x,0), (0,y) and (1,1) are collinear, the triangle formed by the points will have an AREA of 0 units. Then, \| x 0 1 \| \| 0 y 1 \| = 0 \| 1 1 1 \| ⇒ x(y - 1) - 0 + 1(0 - y) = 0, expanding along the FIRST row. ⇒ XY - x - y = 0 ⇒ xy = x + y ⇒ 1/x + 1/y = 1, which is the REQUIRED relation between x and y. Thank you for your question.

Discussion

3.	Find the value of a and b root 2+root 3/3root2-2root3 =a-b root 6
Answer» Hi , It is GIVEN that , ( √2 + √3 )/( 3√2 - 2√3 ) = a - B√6 LHS = ( √2+√3)/(3√2-2√3) RATIONALIZING the denominator , = [(√2+√3)(3√2+2√3)]/[(3√2-2√3)(3√2+2√3)] = [6+2√6 + 3√6 + 6 ]/[(3√2)²-(2√3)²] = ( 12 + 5√6 )/( 18 - 12 ) = ( 12 + 5√6 )/6 = 12/6 + (5/6 ) √6 = 2 - ( - 5/6 ) √6 ----( 1 ) = a - b√6 ----( 2 ) Compare ( 1 ) and ( 2 ) , we get a = 2 , b = - 5/6 I HOPE this helps you. : )

Discussion

4.	Line AOB is a straight line.Choose from the statements below that are true about the angle.AOC and COB are complementary angles.AOC and COB are supplementary angles.AOC and COB are adjacent angles.AOC and COB are vertical angles.AOC and COB are a linear pair of angles.
Answer» 2, 3, 5.......................

Discussion

5.	Three number are in the ratio of 3 : 4 : 5 and their l.c.m. is 1200. their h.c.f. is:
Answer» Thanks for the question! It is definitely a very interesting question to solve and do some brainstorming. ************************************************ Let the NUMBERS be 3x, 4X and 5X. Then, their L.C.M. = 60x. So, 60x = 1200 or x = 20. The numbers are (3 x 20), (4 x 20) and (5 x 20) i.e. 60, 80, 100 Hence, required H.C.F. = 20. ************************************************ Hope it helps and solves your query!!

5.

Three number are in the ratio of 3 : 4 : 5 and their l.c.m. is 1200. their h.c.f. is:

Answer»

Thanks for the question!

It is definitely a very interesting question to solve and do some brainstorming.

**************************************************

Let the NUMBERS be 3x, 4X and 5X.

Then, their L.C.M. = 60x.

So, 60x = 1200 or x = 20.

The numbers are (3 x 20), (4 x 20) and (5 x 20) i.e. 60, 80, 100

Hence, required H.C.F. = 20.

**************************************************
Hope it helps and solves your query!!

Discussion

6.	What should be divided by (-7 ) to obtain 12
Answer» Multiply (-7 ) with 12 Answer = (-7) × 12 = -84 Check: (-84) ÷ (-7) = 12 ∴ -84 should be DIVIDED by (-7 ) to OBTAIN 12

Discussion

7.	Factorise (x^2-3x)(x^2-3x-1)-20
Answer» Hi , ( x² - 3X ) ( x² - 3x - 1 ) - 20 Let a = x² - 3x ---( 1 ) Now , the expression becomes , a( a - 1 ) - 20 = a² - a - 20 = a² - 5a + 4a - 20 = a( a - 5 ) + 4( a - 5 ) = ( a - 5 ) ( a + 4 ) = ( x² - 3x - 5 ) ( x² - 3x + 4 ) [ from ( 1 ) I hope this HELPS you. : ) .

Discussion

8.	A shopkeeper bought locks at the rate of 8 locks for rupees 34 and sold them at the rate of 12 locks for rupees 57 . calculate his gain percent and the no. of lockshe should sell to earn profit of rupees 45
Answer» Cost price for a lock=34/8 =4.25 Selling price for a lock =57/12 =4.75 PROFIT=4.754.25=0.50 Profit%=0.50/4.25100=11.76 Profit is 0.50 for a lock When selling two lock we get one rupees To get 45 RS profit =2*45=90 90 locks

Discussion

9.	Sum of three consecutive multiples of 7 is 357 find the numbers
Answer» Hey Mate! ~~~~~~~~ Given, SUM of MULTIPLES of 7 = 357 Let the NUMBERS be x, x + 7 , x + 14 ATP, x + x + 7 + x + 14 = 357 3x + 21 = 357 3x = 357 - 21 3x = 336 x = 336/3 x = 112 Therefore, the numbers are 112, 119, 136 HOPE THIS HELPS U...

Discussion

10.	If 3x-2y=11 and xy=12 find the value of 27x whole cube-8y whole cube
Answer» Hi...☺ Here is your answer...✌ GIVEN THAT, 3x - 2Y = 11 -----(1) xy = 12 -----(2) Cubing both sides in eq(1) We get (3x - 2y)³ = 11³ (3x)³ - (2y)³ - 3(3x)(2y) (3x - 2y) = 11³ 27x³ - 8y³ - 18xy × 11 = 11³ __ [from (1)] 27x³ - 8y³ - 18×12×11 = 11³ __ [from(2)] 27x³ - 8y³ = 11³ + 18×12×11 = 11 (11² + 18×12) = 11 (121 + 216) = 11 × 337 = 3707 Hence, 27x³ - 8y³ = 3707

Discussion

11.	The mean of 10 numbers is 55. if one number is excluded their mean become 50 .the excluded number is
Answer» HEY, There is your answer Thanks

Discussion

12.	Find sum of series upto n term of 0.6+0.66+0.666+0.6666
Answer» ANSWER: $S_n=\frac{6}{9}[n-\frac{1}{9}(1-\frac{1}{10^n})]$ Step-by-step explanation: GIVEN : Series 0.6+0.66+0.666+0.6666 To find :The SUM of series up-to n terms Solution : Let $S_n$ denotes the sum of n terms. $S_n=0.6+0.66+0.666+0.6666 ........+\text{n terms}$ $S_n=6[0.1+0.11+0.111+0.1111 ........+\text{n terms}]$ $S_n=\frac{6}{9}[0.9+0.99+0.999+ ........+\text{n terms}]$ $S_n=\frac{6}{9}[(1-\frac{1}{10})+(1-\frac{1}{10^2})+(1-\frac{1}{10^3})+ ........+(1-\frac{1}{10^n})]$ $S_n=\frac{6}{9}[(1+1+1....+1)-(\frac{1}{10})+\frac{1}{10^2}+\frac{1}{10^3}+ ........+\frac{1}{10^n})]$ Sum of (1+1+1+1.....1) n TIMES = n Apply G.P series in second BRACKET in which $a=\frac{1}{10} , r=\frac{1}{10}$ Sum of G.P series is $S_n=\frac{a(r^n-1)}{r-1}$ $S_n=\frac{6}{9}[(n)-(\frac{\frac{1}{10}((\frac{1}{10})^n-1)}{\frac{1}{10}-1})]$ $S_n=\frac{6}{9}[(n)-\frac{1}{9}(1-\frac{1}{10^n})]$ Therefore, The sum of series of n terms is given by, $S_n=\frac{6}{9}[n-\frac{1}{9}(1-\frac{1}{10^n})]$

12.

Find sum of series upto n term of 0.6+0.66+0.666+0.6666

Answer»

ANSWER:

$S_n=\frac{6}{9}[n-\frac{1}{9}(1-\frac{1}{10^n})]$

Step-by-step explanation:

GIVEN : Series 0.6+0.66+0.666+0.6666

To find :The SUM of series up-to n terms

Solution :

Let $S_n$ denotes the sum of n terms.

$S_n=0.6+0.66+0.666+0.6666 ........+\text{n terms}$

$S_n=6[0.1+0.11+0.111+0.1111 ........+\text{n terms}]$

$S_n=\frac{6}{9}[0.9+0.99+0.999+ ........+\text{n terms}]$

$S_n=\frac{6}{9}[(1-\frac{1}{10})+(1-\frac{1}{10^2})+(1-\frac{1}{10^3})+ ........+(1-\frac{1}{10^n})]$

$S_n=\frac{6}{9}[(1+1+1....+1)-(\frac{1}{10})+\frac{1}{10^2}+\frac{1}{10^3}+ ........+\frac{1}{10^n})]$

Sum of (1+1+1+1.....1) n TIMES = n

Apply G.P series in second BRACKET in which

$a=\frac{1}{10} , r=\frac{1}{10}$

Sum of G.P series is $S_n=\frac{a(r^n-1)}{r-1}$

$S_n=\frac{6}{9}[(n)-(\frac{\frac{1}{10}((\frac{1}{10})^n-1)}{\frac{1}{10}-1})]$

$S_n=\frac{6}{9}[(n)-\frac{1}{9}(1-\frac{1}{10^n})]$

Therefore, The sum of series of n terms is given by,

$S_n=\frac{6}{9}[n-\frac{1}{9}(1-\frac{1}{10^n})]$

Discussion

13.	In a rhombus ABCD, angle ACB=60. Find angle BAC angle DCA angle ADC
Answer» Thank you for asking this question. Here is your ANSWER: If ∠DAB=∠DCB=60° This MEANS that DAB and DCB are equilateral so ∠ADB=60° ∠POB=θP=(√3/2 cosθ,√3/2sinθ) A=(0,3–√)B=(1,0)C=(0,−3–√)D=(−1,0) (Let O the center of the CIRCLE and the radius of the circle is r=AOsin60° =√3/2 and the distance AO=√3 If there is any confusion PLEASE leave a comment below.

13.

In a rhombus ABCD, angle ACB=60. Find angle BAC angle DCA angle ADC

Answer»

Thank you for asking this question. Here is your ANSWER:

If ∠DAB=∠DCB=60°

This MEANS that DAB and DCB are equilateral

so ∠ADB=60°

∠POB=θP=(√3/2 cosθ,√3/2sinθ)

A=(0,3–√)B=(1,0)C=(0,−3–√)D=(−1,0)

(Let O the center of the CIRCLE

and the radius of the circle is r=AOsin60°

=√3/2 and the distance

AO=√3

If there is any confusion PLEASE leave a comment below.

Discussion

14.	Find the zeroes of 7y^2-11/3y-2/3 and also find the relationship between the zeroes of the polynomial and their coefficient...Hey guys plz solve this question seriously...For a brainliest batch!!Thank you
Answer» The GENERAL form of quadratic EQUATION is ax² + b x+ c = 0 7y²-11/3y-2/3 = 0 21y²-11y-2 = 0 21y²-14y+3y-2=0 7y(3y-2)+1(3y-2) = 0 (7y+1)(3y-2)=0 y=-1/7 and 2/3 sum of ZEROES = -1/7 + 2/3 = -3+14/21 = 11/21 = -b/a product of zeros = (-1/7)(2/3) = -2/21 = c/a here is UR answer i hope it helps u

Discussion

15.	1/5 of a number exceeds 1/7 of the same number by 10. the number is
Answer» 1/5 of a NUMBER = 1/5 of x = x/5 1/7 of a number = 1/7 of x = x/7 x/5 EXCEEDS x/7 by 10 = x/5 +10 according to the sum x/5 +10 = x/7 x/5-x/7 = -10 7x-5x /35 = -10 2x / 35 = -10 2x = -10 35 x = -1035 / 2 x= -350 /2 x = -175

Discussion

16.	If p(x)=x+3 then p(-x)+p(x)=
Answer» HI...☺ Here is your ANSWER...✌ GIVEN THAT, p(x) = x+3 => p(-x) = -x + 3 Now, p(-x) + p(x) = -x + 3 + x + 3 = 3 + 3 = 6

Discussion

17.	if the zeroes of the cubic polynomial x(cube) - 6x(square) +3x +10 are of the form a, a+b, a+2b for some real number a and b, find the value of a and b as well as the zeroes of the given polynomial.
Answer» Given that a, a+b, a+2b are ROOTS of given polynomial x³-6x²+3x+10 From this polynomial, SUM of the roots ⇒ a+2b+a+a+b = -coefficient of x²/ coefficient of x³ ⇒ 3a+3b = -(-6)/1 = 6 ⇒ 3(a+b) = 6 ⇒ a+b = 2 --------- (1) b = 2-a Product of roots ⇒ (a+2b)(a+b)a = -constant/coefficient of x³ ⇒ (a+b+b)(a+b)a = -10/1 Placing the value of a+b=2 in it ⇒ (2+b)(2)a = -10 ⇒ (2+b)2a = -10 ⇒ (2+2-a)2a = -10 ⇒ (4-a)2a = -10 ⇒ 4a-a² = -5 ⇒ a²-4a-5 = 0 ⇒ a²-5a+a-5 = 0 ⇒ (a-5)(a+1) = 0 a-5 = 0 or a+1 = 0 a = 5 a = -1 a = 5, -1 in (1) a+b = 2 When a = 5, 5+b=2 ⇒ b=-3 a = -1, -1+b=2 ⇒ b= 3 ∴ If a=5 then b= -3 or If a= -1 then b=3

Discussion

18.	What will be the area of a semi circle whose perimeter is 36 cm
Answer» Hi , Let the radius of a SEMICIRCLE = r cm Perimeter of the semicircle = π r + 2r P = 36 r( π + 2 ) = 36 r ( 22/7 + 2 ) = 36 r ( 22 + 14 )/7 (36/7)r = 36 r = ( 36 × 7 )/36 r = 7 cm Area of the semicircle = π r²/2 A = ( 22/7 ) × 7 × 7/2 A = ( 22 × 7 ) /2 A = 11 × 7 A = 77 cm² I HOPE this helps you. : )

Discussion

19.	question 3 find the value of root under 3.1428 and root under 0.31428 correct to three decimal places.
Answer» ANSWER: Step-by-step EXPLANATION: √3.1428 1.7727 3.1428 1 1 2.1428 2.7 1.89 0.2528 3.47 0.2429 0.0099 3.542 0.007084 0.002816 3.5447 0.00248129 0.00033471 √3.1428 = 1.7727 = 1.773 √0.31428 = √314280/1000000 = (√314280)/1000 √314280 = 560.6 560.6 314280 5 2803 64280 106 636 680 1120 0 680.0 1120.6 672.36 7.64 √0.31428 = 560.6/1000 = 0.5606 = 0.561

19.

question 3 find the value of root under 3.1428 and root under 0.31428 correct to three decimal places.

Answer»

ANSWER:

Step-by-step EXPLANATION:

√3.1428

1.7727

3.1428

1 1

2.1428

2.7 1.89

0.2528

3.47 0.2429

0.0099

3.542 0.007084

0.002816

3.5447 0.00248129

0.00033471

√3.1428 = 1.7727 = 1.773

√0.31428 = √314280/1000000 = (√314280)/1000

√314280 = 560.6

560.6

314280

5 2803

64280

106 636

680

1120 0

680.0

1120.6 672.36

7.64

√0.31428 = 560.6/1000 = 0.5606 = 0.561

Discussion

20.	If x+y+z=0,show that x^3+y^3+z^3=3xyz
Answer» X^3+Y^3+Z^3-3XYZ=(X+Y+Z)(X^2+Y^2+Z^2-XY-YZ-ZX) X^3+Y^3+Z^3-3XYZ=0(X^2+Y^2+Z^2-XY-YZ-ZX) X^3+Y^3+Z^3-3XYZ= 0 X^3+Y^3+Z^3=3XYZ

Discussion

21.	Which equations are true for the values of x, y, and z? Check all that apply.x° + 65° = 180°x° = z°y° = 65°x° = 65°x° + y° + z° = 115°
Answer» HEY DEAR..... YOUR ANSWER⬇ ★ X+Y+Z+65°=360°. ★ Z+65°=180°. ★ Z=180°-65° = 115°. ★Z=X ( VERTICALLY OPP. ANGLES). ★ X = 115°. ★ Y= 65° (VERTICALLY OPP. ANGLES). SO, x+65= 180°, x=z, y=65°, x=115°, z = 115° are true for the values of x, y, z. any doubts, PLZ ask me in the comments. I HOPE YOU FIND IT HELPFUL. @ LAKSHMI :)

Discussion

22.	Find the value of a and b if :3+√2/3-√2=a+b√2
Answer» ....i THINK it's the ANSWER......

Discussion

23.	5×2√3/7+4√3 =a+b√3 find the value of a and b
Answer» HEY friend, Here is the answer you were LOOKING for: $\frac{5 \times 2 \sqrt{3} }{7 + 4 \sqrt{3} } = a + b \sqrt{3} \\ \\ solve \\ on \: rationalizing \: we \: get \\ \\ \frac{10 \sqrt{3} }{7 + 4 \sqrt{3} } \times \frac{7 - 4 \sqrt{3} }{7 - 4 \sqrt{3} } \\ \\ = \frac{10 \sqrt{3} \times 7 - 10 \sqrt{3} \times 4 \sqrt{3} }{ {(7)}^{2} - (4 \sqrt{3})^{2}} \\ \\ = \frac{70 \sqrt{3} - 120}{4 9- 48} \\ \\ = 70 \sqrt{3} - 120 \\ \\ - 120 + 70 \sqrt{3} = a + b \sqrt{3} \\ \\ a = - 120 \\ b = 70$ Hope this HELPS!!!! @Mahak24 Thanks... ☺☺

Discussion

24.	If 9^x+2= 720+9^x find the value of (4x)^1/2 (solve it)
Answer» HELLO MATE! ${9}^{x + 2} = 720 + {9}^{x} \\ {9}^{x} \times {9}^{2} = 720 + {9}^{x} \\ {9}^{x} \times {9}^{2} - {9}^{x} = 720 \\ {9}^{x} (81 - 1) = 720 \\ {9}^{x} = \frac{720}{80} \\ {9}^{x} = 9 \\ x = 1 \\ \\ {(4x)}^{ \frac{1}{2} } = {4}^{ \frac{1}{2} } = 2$ HOPE it helps☺!

Discussion

25.	The product of two rational numbers is -3/7, if one of the number is 5/21, find the orther
Answer» The product of two rational numbers is -3/7 one of the number is 5/21 let the other number be 'x' x×5/21 = -3/7 x = -3/7÷5/21 x = -3/7×21/5 x = -3×3/5 x = -9/5 so the other number is -9/5 here is ur answer i HOPE it helps u plz BRAINLIEST

Discussion

26.	550 people can complete a work in 100 days. After 10 days start of work 50 more people join. In how many more days now the work will complete
Answer» 550 PEOPLE can do a complete work = 100 days ∴ 1 people can do same work = 550 × 100 days ∴ (550 + 50) = 600 people can do same work = 550 × 100/600 days Now, again, 550 people can do a complete work in 100 days ∴ 550 people can do 1/100th part of work in 1 days ∴ 550 people can do 1/10 TH part of work in 10 days ∴ rest part of work = 1 - 1/10 = 9/10th , which is DONE by 600 people . ∵ 600 people can do a complete work = 550 × 100/600 days ∴ 600 people can do 9/10th part of work = 550 × 100/600 × 9/10 days = 550 × 100 × 9/600 × 10 = 55 × 9/6 = 165/2 = 82.5 days Hence, 82.5 days more now the work will complete.

Discussion

27.	Find 2 irrational numbers between 0.5 and 0.55
Answer» An irrational number is a number which cannot be expressed as the RATIO of two REAL numbers. They have a non terminating and non repeating value. Now for above question; 0.5= √(0.25) 0.55= √(0.3025) now 2 irrational n.o between 0.5 and 0.55 are √(.28)= 0.529150262...... √(.29)= 0.53851648...... I have RANDOMLY selected 2 there can be infinite Mark the answer as Brainliest.

Discussion

28.	The value of k for which the pair of linear equation 4x+6y-1=0 & 2x+ky-7=0 represents parallel lines is ? (a) k=3(b)k=2(c)k=4(d)k=-2
Answer» THERE IS THE SOLUTION HOPE IT HELPS

Discussion

29.	Find the curved surface area of a cone of radius 7 cm and height 24 cm. with steps
Answer» CURVED SURFACE AREA =PIE ×r×l l=root under (h^2+r^2) l=25 CSA= pie ×r×l =22/7×7×25 =550cm^2 ANS.

Discussion

30.	the coordinates of the midpoint of a line segment PQ(1, - 2). the coordinates of p are (-3, 2). find the coordinates of Q
Answer» Pq (1,-2) p (-3,2) ANS Q (2,0)

Discussion

31.	2y^3+y^2-2y-1 divided by (y-1) by long division of polynomials.
Answer» Hey FRIEND UR answer is here....... hope HELPS if YES then mark it as brainliest

Discussion

32.	The ratio of cost price and the selling price is 4:5 . The profit percent is:mention shortcut to approach such ques.
Answer» Cost PRICE = 4x selling price = 5X PROFIT % = (sp - CP)/ cp × 100 = (5x - 4x) / 4x × 100 = (x ×100) / 4x = 25 Hence profit% is 25 Thanks

Discussion

33.	Find how many three digit natural numbers are divisible by 5
Answer» 100,105........995 a=100 d=105-100=5 an=995 an=a+(n-1)d 995=100+(n-1)5 995-100=(n-1)5 895=(n-1)5 895/5=n-1 179=n-1 n=179+1 n=180 hope this HELPS you

Discussion

34.	If 9power x + 2 = 720 +9 power X find the value of (4x)power 1/2
Answer» GIVEN expression , $\bold{9^{<klux>X</klux>+<klux>2</klux>}=720+9^x}$ $\bold{9^{x+2}=720+9^x}\\\\\bold{9^x.9^2=720+9^x}\\\\\bold{81.9^x=720+9^x}\\\\\bold{80.9^x=720}\\\\\bold{9^x=9}$ ∴ x = 1 Now, VALUES of $\bold{(4x)^{1/2}}$ = (4 × 1)^(1/2) = 2 HENCE, answer is 2

Discussion

35.	Two men start from points A and B respectively , 42 km apart. One walks from A to B at 4km/hr and another walks from B to A at a certain uniform speed . They meet each other after 6 hours . Find the speed of the second man . Please give answer in proper solution...
Answer» Answer: 3 km /hr Step-by-step explanation: Distance between A and B is 42 km ONE walks from A to B at 4 km/hr Another walks from B to A at a certain uniform speed . They meet each other after 6 hours . Distance traveled by first in 6 hours = $Speed \times Time = 4 \times 6=24km$ So, The distance traveled by first from Point A is 24 km So, remaining distance = 42-24=18 km So, A PERSON who starts from point B has traveled 18 km TILL the point where they meet. So, Distance traveled by second one in 6 hours = 18 km So, Speed of second one = $\frac{distance}{time}$ = $\frac{18}{6}$ = $3$ Hence the speed of the second man is 3 km /hr

35.

Two men start from points A and B respectively , 42 km apart. One walks from A to B at 4km/hr and another walks from B to A at a certain uniform speed . They meet each other after 6 hours . Find the speed of the second man . Please give answer in proper solution...

Answer»

Answer:

3 km /hr

Step-by-step explanation:

Distance between A and B is 42 km

ONE walks from A to B at 4 km/hr

Another walks from B to A at a certain uniform speed .

They meet each other after 6 hours .

Distance traveled by first in 6 hours = $Speed \times Time = 4 \times 6=24km$

So, The distance traveled by first from Point A is 24 km

So, remaining distance = 42-24=18 km

So, A PERSON who starts from point B has traveled 18 km TILL the point where they meet.

So, Distance traveled by second one in 6 hours = 18 km

So, Speed of second one = $\frac{distance}{time}$

= $\frac{18}{6}$

= $3$

Hence the speed of the second man is 3 km /hr

Discussion

36.	the value of a machine depreciates 10% every year . if its present value is Rs 387000, what was its value 1 year ago?
Answer» Present VALUE of mahine = RS 387000 if it's value depreciates 10% EVERY year then, let it's value after 1 year be x. percentage of machine = 100% - 10% : 90% : 90 % of x = 387000 90/100x = 387000 387000×90/100 ::- 348300

Discussion

37.	Factorise by taking out the common factor : 2x(a-b)+3y(5a-5b)+4z(2b-2a)
Answer» Hi , 2X( a - B ) + 3y( 5A - 5B ) + 4z ( 2b - 2a ) = 2x ( a - b ) + 3y × 5( a - b ) - 4z × 2 ( a - b ) = 2x( a - b ) + 15y( a - b ) - 8z ( a - b ) = ( a - b ) ( 2x + 15y - 8z ) I hope this HELPS you. : )

Discussion

38.	the angle of elevation of the top of a chimney from the top of a tower is 60 degree and the angle of depression of the foot of the chimney from the top of the tower is 30 degree. if the height of the tower is 40m find the height of the chimney. according pollution central norms the minimum height of a Smoke emitting chimney should be 100 m state of the height of the above mentioned chimney meets the pollution norms. What value is discussed in the question
Answer» Given : the angle of elevation of the top of a chimney from the top of a tower is 60 DEGREE and the angle of depression of the foot of the chimney from the top of the tower is 30 degree. if the height of the tower is 40m To find : height of the chimney Solution : Tower height = 40 m Let say chimney Height = H m Chimney height above tower = H - 40 m Horizontal DISTANCE between tower & chimney = D m angle of elevation of the top of a chimney from the top of a tower is 60° => TAN 60 = (H - 40)/ D => √3 = (H - 40)/ D => D√3 = H - 40 angle of depression of the foot of the chimney from the top of the tower is 30° => Tan 30 = 40/D => 1/√3 = 40/D => D = 40√3 => D√3 = 120 H - 40 = 120 => H = 160 Chimney height = 160 m 120 m above tower height Meetings the pollution Norms Hence obeying the law & environment friendly LEARN More: The angle of elevation of top of a pole from two points A and B on ... brainly.in/question/11520026 the angle of elevation of a vertical Tower observed from the age of a ... brainly.in/question/12120882

38.

the angle of elevation of the top of a chimney from the top of a tower is 60 degree and the angle of depression of the foot of the chimney from the top of the tower is 30 degree. if the height of the tower is 40m find the height of the chimney. according pollution central norms the minimum height of a Smoke emitting chimney should be 100 m state of the height of the above mentioned chimney meets the pollution norms. What value is discussed in the question

Answer»

Given : the angle of elevation of the top of a chimney from the top of a tower is 60 DEGREE and the angle of depression of the foot of the chimney from the top of the tower is 30 degree. if the height of the tower is 40m

To find : height of the chimney

Solution :

Tower height = 40 m

Let say chimney Height = H m

Chimney height above tower = H - 40 m

Horizontal DISTANCE between tower & chimney = D m

angle of elevation of the top of a chimney from the top of a tower is 60°

=> TAN 60 = (H - 40)/ D

=> √3 = (H - 40)/ D

=> D√3 = H - 40

angle of depression of the foot of the chimney from the top of the tower is 30°

=> Tan 30 = 40/D

=> 1/√3 = 40/D

=> D = 40√3

=> D√3 = 120

H - 40 = 120

=> H = 160

Chimney height = 160 m

120 m above tower height

Meetings the pollution Norms

Hence obeying the law & environment friendly

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Discussion

39.	find the least number which must be subtracted from 3158 to make a perfect square long division method
Answer» Square ROOT of 3158 = 56.19 and 56*56 = 3136 let X should be SUBTRACTED THUS 3158-x = 3136 X = 22 thus 22 is that least NUMBER

Discussion

40.	Difference between gauss jordan and gauss elimination method
Answer» JORDEN is CORRECT ANSWER

Discussion

41.	Points A and B are 70 KM apart on a highway A car starts from A and another from B simultaneous if the travel in the same Direction they meet in 7 hours but if the travel towards Each Other they meet in 1 hour find the speed of the two cars
Answer» Hey!!!! I'll answer this QUESTION in detail on paper The speed of CAR 1 is 40km/h and car 2 is 30km/h. Hope this HELPS ✌️

Discussion

42.	Find the area of a rhombus,the lengths of whose diagonals are 44cm and 26cm
Answer» We know that, Area of RHOMBUS = product of diagonals/2 = 4426/2 = 2226 = 572 cm²**

Discussion

43.	Find the length of the tangent to a circle with radius 5cm, from a point at a distance of 13 cm from its centre
Answer» HEY!!! ______ I'll solve on PAPER for best understanding The length of the tangent is 12cm _____ Hope this HELPS

Discussion

44.	If 25 metres of cloth costs Rs 337.50, theni) What will be the cost of 40m of the same type of cloth?ii) What will be the length of the cloth bought for Rs. 810?
Answer» 337.50/25=COST of CLOTH of LENGTH 1mt 13.5 is the cost of cloth of length 1 mt 1)40*13.5=rs540 2)810/13.5=60mts

Discussion

45.	One lakh eight thousand how cai right in numbers
Answer» Answer : Number = 1,08,000 Step-by-step explanation: Given : ONE lakh EIGHT THOUSAND how cai right in numbers To Find : It's Numeral. Number System :- There are two kinds of number systems => Indian number system and international number system. Indian number system :- In this system, the PLACE values of given number is as follows - Number name => One lakh eight thousand. Number => 1,08,000. International number system :- In this system, the place values of the given number is as follows :- Number => 367,752. Number name => Three hundred and sixty seven thousand seven hundred and fifty two.

45.

One lakh eight thousand how cai right in numbers

Answer»

Answer : Number = 1,08,000

Step-by-step explanation:

Given :

ONE lakh EIGHT THOUSAND how cai right in numbers

To Find :

It's Numeral.

Number System :-

There are two kinds of number systems => Indian number system and international number system.

Indian number system :-

In this system, the PLACE values of given number is as follows -

Number name => One lakh eight thousand.

Number => 1,08,000.

International number system :-

In this system, the place values of the given number is as follows :-

Number => 367,752.

Number name => Three hundred and sixty seven thousand seven hundred and fifty two.

Discussion

46.	If secΦ + tanΦ = p, find the value of cosecΦ
Answer» HOPE it is HELPFUL for you

Discussion

47.	105x95 evaluate using proper algebraic identity
Answer» 105 x 95 (100+5)(100-5) 100square - 5square {(a+b)(a-b) =A SQUARE - B square} 10000 - 25 9975 is the ANSWER

47.

105x95 evaluate using proper algebraic identity

Answer»

105 x 95

(100+5)(100-5)

100square - 5square {(a+b)(a-b) =A SQUARE - B square}

10000 - 25

9975 is the ANSWER

Discussion

48.	Solution of mathematics
Answer» PLEASE HO through the IMAGE,HOPE that HELPS

Discussion

49.	A rational numbers between 1/7 and 2/7
Answer» Hey! ____________________________________________________________________________________________________________________________ Question - 6 Rational number lying between 1/7 and 2/7 ______________________________________________________________ Solution :- n + 1 = 6 + 1 = 7 •Now both sides MULTIPLY by 7/7 = 1/7 ÷ 7/7 = 7 / 49 ______________________________________________________________ = 2/7 ÷ 7/7 = 14 / 49 ______________________________________________________________ 5 Rational number lying between 1/7 and 2/7 are :- = 8/49 , 9/49 , 10/49 , 11/49 , 12/49 , 13/49 ____________________________________________________________________________________________________________________________ Regards :) Cybary Be Brainly :)

Discussion

50.	In a group of 80 people, there are 45 people who speak Hindi, while 50 people speak Marathi. There are 25 people who speak neither Hindi nor Marathi. How many people speak both languages? Write the answer in the box provided.
Answer» There are 40 such persons For REFERENCE SEE the VENN diagram I HOPE it helps

Discussion

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