332354 + Interview Questions in Secondary School in Math

1.	Lim x^2017 + 1x —> -1 —————— x^2018 - 1Ans : -2017 ——— 2018Please no bakwas answers to increase your points !! Only Genuine Answers !!
Answer» Step-by-step EXPLANATION: 2017+1 x2018-1. 2017 x^ 2018-1 Ans -2017

1.

Lim x^2017 + 1x —> -1 —————— x^2018 - 1Ans : -2017 ——— 2018Please no bakwas answers to increase your points !! Only Genuine Answers !!

Answer»

Step-by-step EXPLANATION:

2017+1

x2018-1. 2017

x^ 2018-1

Ans -2017

Discussion

2.	Two is only the even prime number.write the truth value?
Answer» Step-by-step explanation: 1 is TRUTH VALUE that 2 is only EVEN PRIME

2.

Two is only the even prime number.write the truth value?

Answer»

Step-by-step explanation:

1 is TRUTH VALUE that 2 is only EVEN PRIME

Discussion

3.	The lines y=3x-1 and y=ax+2 are perpendicular if a=_______
Answer» Answer: as the lines are perpedicular to each other then the RELATIONSHIP b/w slopes of the lines is slope of 1ST LINE is equal to the negative reciprocal of SECOND line I.e a equal to 1/-3

3.

The lines y=3x-1 and y=ax+2 are perpendicular if a=_______

Answer»

Answer:

as the lines are perpedicular to each other then the RELATIONSHIP b/w slopes of the lines is slope of 1ST LINE is equal to the negative reciprocal of SECOND line I.e a equal to 1/-3

Discussion

4.	18. 21 સેમી વ્યાસવાળા ગોલકની સપાટીનું ક્ષેત્રફળ શોધો.
Answer» ANSWER: jwjejeisjhrj dijdhriah ushrhueh oebaejeish kehrhsh

4.

18. 21 સેમી વ્યાસવાળા ગોલકની સપાટીનું ક્ષેત્રફળ શોધો.

Answer»

ANSWER:

jwjejeisjhrj dijdhriah ushrhueh oebaejeish kehrhsh

Discussion

5.	The value of x if {3x+2}=8 is. a. 2 b. -2.c.10/3,-2.d.-10/3,2
Answer» ANSWER: a. 2 Step-by-step EXPLANATION: From this, 3X = 6 x = 2 *HOPE* *THIS* *HELPS* *YOU*.....

5.

The value of x if {3x+2}=8 is. a. 2 b. -2.c.10/3,-2.d.-10/3,2

Answer»

ANSWER:

a. 2

Step-by-step EXPLANATION:

From this, 3X = 6

x = 2

HOPE THIS HELPS YOU.....

Discussion

6.	A man who weighed 97.5 kg lost 13.8 kg after three months. How much does he weigh now?
Answer» ANSWER: $hello$ $Man Weight - Man lost Weight$ 》97.5 - 13.8 》 83.7 KG.

6.

A man who weighed 97.5 kg lost 13.8 kg after three months. How much does he weigh now?

Answer»

ANSWER:

$hello$

$Man Weight - Man lost Weight$

》97.5 - 13.8

》 83.7 KG.

Discussion

7.	The interest on 3000 for one year is 210. What is the interest on 4500 for a year? If one wantsto get an interest of 700, what should be the principal?
Answer» Given: (situation1) P=3000 T=1 Year R=? S.I=210 S.I = PRT/100 210=3000xRx1/100 210=30R R=210/30 R=7% So, now we know the rate I.e 7% Now to find the I on 4500 for 1 year P=4500 T=1 R=7% I=PRT/100 I=4500x1x7/100 I=315 Now if one wants to get an INTEREST of 700, what should be the P..... I=700 R=7% T=1 P=? P=Ix100/RT P=7x100/7x1 P=7000

Discussion

8.	Please send me the ncert class 7 questions paper and solutions of all subject
Answer» NAHI he MERE PAS .....XD

8.

Please send me the ncert class 7 questions paper and solutions of all subject

Answer»

NAHI he MERE PAS .....XD

Discussion

9.	what is axis of symmetry?PLS DO THIS QUESTION ALSO..—Draw a line segment of 7.7l3 cm and find its axis of symmetry...pls do step by step..PLS ITS URGENT...20 POINT 20 POINTS
Answer» ANSWER: The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a VERTICAL line that divides the parabola into two congruent halves. The axis of symmetry ALWAYS passes through the vertex of the parabola . The X -coordinate of the vertex is the equation of the axis of symmetry of the parabola. Step-by-step explanation: Plzzzz Mark me as brainliest plzzllzzzzzz

9.

what is axis of symmetry?PLS DO THIS QUESTION ALSO..—Draw a line segment of 7.7l3 cm and find its axis of symmetry...pls do step by step..PLS ITS URGENT...20 POINT 20 POINTS

Answer»

ANSWER:

The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a VERTICAL line that divides the parabola into two congruent halves. The axis of symmetry ALWAYS passes through the vertex of the parabola . The X -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

Step-by-step explanation:

Plzzzz Mark me as brainliest plzzllzzzzzz

Discussion

10.	True or False --a) l -4 -2 I = ( -6)
Answer» ANSWER: FALSE for SURE..................

10.

True or False --a) l -4 -2 I = ( -6)

Answer»

ANSWER:

FALSE for SURE..................

Discussion

11.	Kx^2-x-1=0. then k=? x =1
Answer» kx² - X - 1 = 0 If x = 1 kx² - x - 1 = 0 k (1)² - 1 -1 = 0 k - 2 = 0 k = 2

11.

Kx^2-x-1=0. then k=? x =1

Answer»

kx² - X - 1 = 0

If x = 1

kx² - x - 1 = 0

k (1)² - 1 -1 = 0

k - 2 = 0

k = 2

Discussion

12.	Six points are required to fill a tank in 1 hour 20 minutes how long will it take if only 5 types of the same type are usedkindly solve by converting into hours
Answer» Step-by-step explanation: IF 6 points are taking 1HR and 20 minutes, 1hr + 20 mins = 80mins then , 1 point will TAKE = 6×80 5points will take = 6×80 ÷5= 96minutes which is EQUAL to 1 hour and 36 minutes.

12.

Six points are required to fill a tank in 1 hour 20 minutes how long will it take if only 5 types of the same type are usedkindly solve by converting into hours

Answer»

Step-by-step explanation:

IF 6 points are taking 1HR and 20 minutes,

1hr + 20 mins = 80mins

then , 1 point will TAKE = 6×80

5points will take = 6×80 ÷5= 96minutes

which is EQUAL to 1 hour and 36 minutes.

Discussion

13.	घ) दो पासे एक साथ उछाले जाते हैं। उन पर प्राप्त अंकों कायोग अभाज्य संख्या होने की प्रायिकता ज्ञात कीजिए।
Answer» \|\|✪✪ प्रश्न ✪✪\|\| दो पासे एक साथ उछाले जाते हैं। उन पर प्राप्त अंकों का योग अभाज्य संख्या होने की प्रायिकता ज्ञात कीजिए। ? \|\| ✰✰ उतर ✰✰ \|\| अभाज्य संख्या :- वे संख्यायें जो 1 और स्वयं के अलावा किसी और संख्या से न विभाजित (DIVIDE) हो उन संख्याओं को अभाज्य संख्या होती है ll जब 2 पासे एक साथ उछाले जाते हैं , तब कुल संभावना जो बनती है , वो है :--- (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6) = कुल 36 अब, इनमें से जोड़ अभाज्य संख्या बनने वाले है :- (1,1),(1,2),(1,4),(1,6),(2,1),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(5,2),(5,6),(6,1),(6,5) = कुल 15 अत हमारी प्रायिकता होगी = 15/36 = 5/12 . इसलिए जब दो पासे एक साथ उछाले जाते हैं ,, उन पर प्राप्त अंकों का योग अभाज्य संख्या होने की प्रायिकता 5/12 होगी ll

13.

घ) दो पासे एक साथ उछाले जाते हैं। उन पर प्राप्त अंकों कायोग अभाज्य संख्या होने की प्रायिकता ज्ञात कीजिए।

Answer»

||✪✪ प्रश्न ✪✪||

दो पासे एक साथ उछाले जाते हैं। उन पर प्राप्त अंकों का

योग अभाज्य संख्या होने की प्रायिकता ज्ञात कीजिए। ?

|| ✰✰ उतर ✰✰ ||

अभाज्य संख्या :- वे संख्यायें जो 1 और स्वयं के अलावा किसी और संख्या से न विभाजित (DIVIDE) हो उन संख्याओं को अभाज्य संख्या होती है ll

जब 2 पासे एक साथ उछाले जाते हैं , तब कुल संभावना जो बनती है , वो है :---

(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

= कुल 36

अब, इनमें से जोड़ अभाज्य संख्या बनने वाले है :-

(1,1),(1,2),(1,4),(1,6),(2,1),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(5,2),(5,6),(6,1),(6,5)

= कुल 15

अत हमारी प्रायिकता होगी = 15/36 = 5/12 .

इसलिए जब दो पासे एक साथ उछाले जाते हैं ,, उन पर प्राप्त अंकों का योग अभाज्य संख्या होने की प्रायिकता 5/12 होगी ll

Discussion

14.	Construct triangleXYZ is given that XY = 6 cm, YZ = 4.5 cm and m angleXYZ = 45°.explain and send foto also pls.
Answer» ANSWER: DRAW first xy of 6CM and then draw YZ of 4.5 CM and then measure 45degree by that semi circle which have in geometry box

14.

Construct triangleXYZ is given that XY = 6 cm, YZ = 4.5 cm and m angleXYZ = 45°.explain and send foto also pls.

Answer»

ANSWER:

DRAW first xy of 6CM and then draw YZ of 4.5 CM and then measure 45degree by that semi circle which have in geometry box

Discussion

15.	Q.3Find the S. I on rupees 72000 at 5% per annum for 2/3 years.Plss fast!!
Answer» ANSWER: Step-by-step EXPLANATION: P=72000 R=5 percen.. T=2yrs 3 months=2 3/12=27/12=9/4 So=PTR/100=72000x5x9/100x4 =180x5x9 =8100

15.

Q.3Find the S. I on rupees 72000 at 5% per annum for 2/3 years.Plss fast!!

Answer»

ANSWER:

Step-by-step EXPLANATION:

P=72000

R=5 percen..

T=2yrs 3 months=2 3/12=27/12=9/4

So=PTR/100=72000x5x9/100x4

=180x5x9

=8100

Discussion

16.	-13-(+14) what would be the answer
Answer» MARK ME AS BRAINLIST PLEASE I BEG YOU

16.

-13-(+14) what would be the answer

Answer»

MARK ME AS BRAINLIST PLEASE I BEG YOU

Discussion

17.	Ek vishay bhilwada vyas vada apni sampat kshetrafalkshetrafal
Answer» ANSWER: just WANTED you are the WAY of this MESSAGE and the way. Step-by-step EXPLANATION: so. usethe

17.

Ek vishay bhilwada vyas vada apni sampat kshetrafalkshetrafal

Answer»

ANSWER:

just WANTED you are the WAY of this MESSAGE and the way.

Step-by-step EXPLANATION:

so. usethe

Discussion

18.	Give the geometric representation of 2x - 9 = 0 in two variables
Answer» Answer: 2x -9 =0 2x=9 X = 9/2 x = 4.5

18.

Give the geometric representation of 2x - 9 = 0 in two variables

Answer»

Answer:

2x -9 =0

2x=9

X = 9/2

x = 4.5

Discussion

19.	TanA+secA-1/tanA-secA+1= 1+sinA/cosA
Answer» Answer: tanA + secA - 1 / tanA - secA + 1 = 1 + SINA / COSA LHS = tanA + secA -1 / tanA - secA + 1 = tanA + secA + tan2A - SEC2A / tanA - secA + 1 as tan2A + 1 = sec2A = tanA + secA +(tanA + secA)(tanA - secA)/ tanA - secA + 1 = tanA + secA( 1 + tanA - secA) / tanA - secA + 1 =tanA + secA = sinA / cosA + 1/cosA = sinA + 1 / cosA Step-by-step explanation: MARK me as brainlist Ans✔✔✔✔5 rate

19.

TanA+secA-1/tanA-secA+1= 1+sinA/cosA

Answer»

Answer:

tanA + secA - 1 / tanA - secA + 1 = 1 + SINA / COSA

LHS = tanA + secA -1 / tanA - secA + 1

= tanA + secA + tan2A - SEC2A / tanA - secA + 1

as tan2A + 1 = sec2A

= tanA + secA +(tanA + secA)(tanA - secA)/ tanA - secA + 1

= tanA + secA( 1 + tanA - secA) / tanA - secA + 1

=tanA + secA

= sinA / cosA + 1/cosA

= sinA + 1 / cosA

Step-by-step explanation:

MARK me as brainlist Ans✔✔✔✔5 rate

Discussion

20.	In the given figure, if AB \|\| CD, then find the value of x.
Answer» ANSWER OF THIS QUESTION IS= X=105°

20.

In the given figure, if AB || CD, then find the value of x.

Answer»

ANSWER OF THIS QUESTION IS=

X=105°

Discussion

21.	The value 5x (2)^2+(32)^2
Answer» Answer: 38 Step-by-step explanation: 5x2=10-2=8+32=40-2=38

21.

The value 5x (2)^2+(32)^2

Answer»

Answer:

38

Step-by-step explanation:

5x2=10-2=8+32=40-2=38

Discussion

22.	cloth store charge rupees 1088 for 4 shirt Ram calculate the unit price of the shirt at the rupees 27.20 what did make what is what is the correct unit price also find the price of the 12 shirt
Answer» ANSWER: I LOVE you MANUEL Step-by-step EXPLANATION: I love U manuel

22.

cloth store charge rupees 1088 for 4 shirt Ram calculate the unit price of the shirt at the rupees 27.20 what did make what is what is the correct unit price also find the price of the 12 shirt

Answer»

ANSWER:

I LOVE you MANUEL

Step-by-step EXPLANATION:

I love U manuel

Discussion

23.	josh is hiking glacier national park. He has now hiked a total of 17 km and is 2km short of being 1/2 of the way down this hike. Find the total length of josh's hike?
Answer» Answer: 38 Step-by-step explanation: LET, total LENGTH of GLACIER national park =x As PER Question x/2=17+2 x/2=19 x=38

23.

josh is hiking glacier national park. He has now hiked a total of 17 km and is 2km short of being 1/2 of the way down this hike. Find the total length of josh's hike?

Answer»

Answer:

38

Step-by-step explanation:

LET,

total LENGTH of GLACIER national park =x

As PER Question

x/2=17+2

x/2=19

x=38

Discussion

24.	Selling price of a toy car is Rs 420. If the profit made by shopkeeper is 12%, what isthe cost price of this toy?
Answer» ANSWER: SP is GIVEN rupees 240 Profit = 12% Cp=? to find cp we USE the formula = SP100/100+12% = 420100/112 =42000/112 = 375 hence, cp is 375

24.

Selling price of a toy car is Rs 420. If the profit made by shopkeeper is 12%, what isthe cost price of this toy?

Answer»

ANSWER:

SP is GIVEN rupees 240

Profit = 12%

Cp=?

to find cp we USE the formula

= SP*100/100+12%

= 420*100/112

=42000/112

= 375

hence, cp is 375

Discussion

25.	4. Find the length of the wire of diameter 2/5 cm that can be drawn froma solid sphere of radius 9 cm
Answer» Answer: Volume of SPHERE = volume of pipe 4/3 pie r ^3 = pie r ^2 h 4/3 × 22/7 ×9×9×9 = 22/7 ×2/10×2/10× h 4 ×3×9×9 = 2/10×2/10× h h = 4×3×9×9×10×10 / 2× 2 h = 8100 cm Hope it helps please mark as brainliest

25.

4. Find the length of the wire of diameter 2/5 cm that can be drawn froma solid sphere of radius 9 cm

Answer»

Answer:

Volume of SPHERE = volume of pipe

4/3 pie r ^3 = pie r ^2 h

4/3 × 22/7 ×9×9×9 = 22/7 ×2/10×2/10× h

4 ×3×9×9 = 2/10×2/10× h

h = 4×3×9×9×10×10 / 2× 2

h = 8100 cm

Hope it helps

please mark as brainliest

Discussion

26.	If u know the answer correctly give the answer i needed for board exam
Answer» Answer: Sorry but I don't know Step-by-step EXPLANATION: Plz FOLLOW me

26.

If u know the answer correctly give the answer i needed for board exam

Answer»

Answer:

Sorry but I don't know

Step-by-step EXPLANATION:

Plz FOLLOW me

Discussion

27.	3 x square minus 2 root 6 X + 2 is equal to zero
Answer» Answer: this is standard form isee USS formule se bhi 0 ke EQUATE krrr skate ha AUR formula METHOD se bhi solv krke 0 ke equate KRR sakte ha

27.

3 x square minus 2 root 6 X + 2 is equal to zero

Answer»

Answer:

this is standard form isee USS formule se bhi 0 ke EQUATE krrr skate ha AUR formula METHOD se bhi solv krke 0 ke equate KRR sakte ha

Discussion

28.	Please give three pairs of equal parts in AOC and BOD
Answer» Answer: Angle AOC = Angle BOD (VERTICALLY opposite angles) AC = BD = 3cm (GIVEN) Angle ACO = Angle BDO (Given) By ASA criteria, triangle AOC is congruent to triangle BOD ******** Hope it helps. PLEASE mark as brainliest :)

28.

Please give three pairs of equal parts in AOC and BOD

Answer»

Answer:

Angle AOC = Angle BOD (VERTICALLY opposite angles)

AC = BD = 3cm (GIVEN)

Angle ACO = Angle BDO (Given)

By ASA criteria,

triangle AOC is congruent to triangle BOD

********

Hope it helps. PLEASE mark as brainliest :)

Discussion

29.	How many isometric sketches can be drawn for a cuboid?
Answer» Answer: THREE different isometric sketches Step-by-step EXPLANATION: mark me as BRAINLIST ans 5 RATE

29.

How many isometric sketches can be drawn for a cuboid?

Answer»

Answer:

THREE different isometric sketches

Step-by-step EXPLANATION:

mark me as BRAINLIST ans 5 RATE

Discussion

30.	2 - 2443/263 2 = 26-132 = 14 - 2= 12 dayI8 4 work con nap arield inHow mamy more woskelto complete the same workmnap a field in 35 day,boskogs are neededD 64 work can drop a fleld the teSos 2 cogkoro coill consumo meKcandrop a field in 35midlzm2d2
Answer» ANSWER: sjshsbehdudhdbhdueheh UR dxhdududueududududuududududidd

30.

2 - 2443/263 2 = 26-132 = 14 - 2= 12 dayI8 4 work con nap arield inHow mamy more woskelto complete the same workmnap a field in 35 day,boskogs are neededD 64 work can drop a fleld the teSos 2 cogkoro coill consumo meKcandrop a field in 35midlzm2d2

Answer»

ANSWER:

sjshsbehdudhdbhdueheh UR dxhdududueududududuududududidd

Discussion

31.	Please prove it fast
Answer» We know that, $\quad$ $\cos 36^{\circ}=\dfrac {1+\sqrt 5}{4}$ $\quad$ But we also know that, $\quad$ $\cos (90^{\circ}-x)=\sin x$ $\quad$ Thus, $\quad$ $\sin 54^{\circ}=\dfrac {1+\sqrt 5}{4}\\\\\\\sqrt {1-\cos^254^{\circ}}=\dfrac {1+\sqrt 5}{4}\\\\\\\cos 54^{\circ}=\dfrac {\sqrt{10-2\sqrt5}}{4}$ $\quad$ We know the identity, $\quad$ $\sin\left(\dfrac {x}{2}\right)=\sqrt {\dfrac {1-\cos x}{2}}$ $\quad$ Then, $\quad$ $\sin 27^{\circ}=\sqrt {\dfrac {1-\dfrac {\sqrt{10-2\sqrt5}}{4}}{2}}\\\\\\\sin 27^{\circ}=\sqrt {\dfrac {4-\sqrt{10-2\sqrt5}}{8}}\\\\\\\sin 27^{\circ}=\dfrac {\sqrt{8-2\sqrt{10-2\sqrt5}}}{4}\\\\\\4\sin 27^{\circ}=\sqrt{5+\sqrt5+3-\sqrt 5-2\sqrt{(5+\sqrt5)(3-\sqrt 5)}}\\\\\\4\sin 27^{\circ}=\sqrt{\left (\sqrt {5+\sqrt5}\right)^2+\left (\sqrt{3-\sqrt 5}\right)^2-2\sqrt{5+\sqrt5}\cdot\sqrt{3-\sqrt 5}}\\\\\\\underline {\underline {4\sin 27^{\circ}=\sqrt {5+\sqrt5}-\sqrt{3-\sqrt 5}}}$ $\quad$ Hence Proved! $\quad$ ====================================================== $\quad$ To obtain the value of $\cos 36^{\circ}$ we have to CONSIDER the golden triangle, given in the figure. $\quad$ Here ∆ABC is known as golden triangle because the sides are in golden ratio, i.e., $\quad$ $AC:AB:BC=1:\dfrac {1+\sqrt5}{2}:\dfrac {1+\sqrt5}{2}$ $\quad$ Or, according to the figure, $\quad$ $AC:AB:BC=\dfrac {\sqrt5-1}{2}:1:1$ $\quad$ One FEATURE about golden triangle is that the angle bisector of any of the 72° angle FORMS another golden triangle. ∆ADC is such one. $\quad$ So by the similarity of TRIANGLES, from ∆ABC and ∆ADC, we can obtain the relation, $\quad$ $X=\dfrac {1-X}{X}$ $\quad$ or, $\quad$ $X^2+X-1=0$ $\quad$ On solving this we get, $\quad$ $X=\dfrac {\sqrt 5-1}{2}$ $\quad$ On drawing an altitude from $\angle ADB$ to AB, we get the value of $\cos 36^{\circ}.$

31.

Please prove it fast

Answer»

We know that,

$\quad$

$\cos 36^{\circ}=\dfrac {1+\sqrt 5}{4}$

$\quad$

But we also know that,

$\quad$

$\cos (90^{\circ}-x)=\sin x$

$\quad$

Thus,

$\quad$

$\sin 54^{\circ}=\dfrac {1+\sqrt 5}{4}\\\\\\\sqrt {1-\cos^254^{\circ}}=\dfrac {1+\sqrt 5}{4}\\\\\\\cos 54^{\circ}=\dfrac {\sqrt{10-2\sqrt5}}{4}$

$\quad$

We know the identity,

$\quad$

$\sin\left(\dfrac {x}{2}\right)=\sqrt {\dfrac {1-\cos x}{2}}$

$\quad$

Then,

$\quad$

$\sin 27^{\circ}=\sqrt {\dfrac {1-\dfrac {\sqrt{10-2\sqrt5}}{4}}{2}}\\\\\\\sin 27^{\circ}=\sqrt {\dfrac {4-\sqrt{10-2\sqrt5}}{8}}\\\\\\\sin 27^{\circ}=\dfrac {\sqrt{8-2\sqrt{10-2\sqrt5}}}{4}\\\\\\4\sin 27^{\circ}=\sqrt{5+\sqrt5+3-\sqrt 5-2\sqrt{(5+\sqrt5)(3-\sqrt 5)}}\\\\\\4\sin 27^{\circ}=\sqrt{\left (\sqrt {5+\sqrt5}\right)^2+\left (\sqrt{3-\sqrt 5}\right)^2-2\sqrt{5+\sqrt5}\cdot\sqrt{3-\sqrt 5}}\\\\\\\underline {\underline {4\sin 27^{\circ}=\sqrt {5+\sqrt5}-\sqrt{3-\sqrt 5}}}$

$\quad$

Hence Proved!

$\quad$

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

$\quad$

To obtain the value of $\cos 36^{\circ}$ we have to CONSIDER the golden triangle, given in the figure.

$\quad$

Here ∆ABC is known as golden triangle because the sides are in golden ratio, i.e.,

$\quad$

$AC:AB:BC=1:\dfrac {1+\sqrt5}{2}:\dfrac {1+\sqrt5}{2}$

$\quad$

Or, according to the figure,

$\quad$

$AC:AB:BC=\dfrac {\sqrt5-1}{2}:1:1$

$\quad$

One FEATURE about golden triangle is that the angle bisector of any of the 72° angle FORMS another golden triangle. ∆ADC is such one.

$\quad$

So by the similarity of TRIANGLES, from ∆ABC and ∆ADC, we can obtain the relation,

$\quad$

$X=\dfrac {1-X}{X}$

$\quad$

or,

$\quad$

$X^2+X-1=0$

$\quad$

On solving this we get,

$\quad$

$X=\dfrac {\sqrt 5-1}{2}$

$\quad$

On drawing an altitude from $\angle ADB$ to AB, we get the value of $\cos 36^{\circ}.$

Discussion

32.	Please tell me answer fastly
Answer» ANSWER: eyryfu2457std6tyiggttuiyog

32.

Please tell me answer fastly

Answer»

ANSWER:

eyryfu2457std6tyiggttuiyog

Discussion

33.	What is mixed fraction of 1.45
Answer» Answer: 1.45 = 145/100 = 29/20 = 1 WHOLE 9by 20

33.

What is mixed fraction of 1.45

Answer»

Answer:

1.45

= 145/100

= 29/20

= 1 WHOLE 9by 20

Discussion

34.	Draw these construction
Answer» Steps of construction :- 1) Draw a circle of radius 4 cm. 2) Take point B in the exterior of the circle such that d(O, P) = 7 cm. 3) Draw seg OB. Also draw opposite ray of ray OB i. e. OP. And take point Q between O and B on the circle. 4) Draw perpendicular bisector of seg OB to get its midpoint L. 5) Draw an arc with radius OL and centre L. Mark the point of intersection of the circle as R. 6) Draw line BA passing through point R. NOTE :- Distances in the construction can be TAKEN as your own. They may be different or the same. Hope it helps. Thanks my answers. Mark as BRAINLIEST.

34.

Draw these construction

Answer»

Steps of construction :-

1) Draw a circle of radius 4 cm.

2) Take point B in the exterior of the circle such that d(O, P) = 7 cm.

3) Draw seg OB. Also draw opposite ray of ray OB i. e. OP. And take point Q between O and B on the circle.

4) Draw perpendicular bisector of seg OB to get its midpoint L.

5) Draw an arc with radius OL and centre L.

Mark the point of intersection of the circle as R.

6) Draw line BA passing through point R.

NOTE :-

Distances in the construction can be TAKEN as your own. They may be different or the same.

Hope it helps.

Thanks my answers.

Mark as BRAINLIEST.

Discussion

35.	Q.1.cards with two digit numbers are placed in a box and mixed wellfind the probablity is getting. 1. a multiple of 6 ? 2. a number with some digits ?
Answer» $Two \:digit \: numbers \: are \: 10,11,12,\cdot\cdot\cdot \\98,99$ $Total \:cards \: in \:the \:box \\= 99 - 10 + 1 \\= 90$ $Number \:of \\ total \: possible \: outcomes = 90 \: --(1)$ $multiples \:of \: 6 \:in \: the \\box = { 12,18,24, \cdot \cdot \cdot , 96 }[tex] Number \:of \: multiples \:of \: 6 \:in \: the \\box = 15$ $Number \:of \: favourable \: outcomes = 15 \:--(2)$ $P(a \: multiple \:of \:6) = \frac{(2)}{(1)} \\= \frac{15}{90} \\= \frac{1}{6}$ THEREFORE., $\red {P(a \: multiple \:of \:6)}\green {= \frac{1}{6}}$ •••♪

35.

Q.1.cards with two digit numbers are placed in a box and mixed wellfind the probablity is getting. 1. a multiple of 6 ? 2. a number with some digits ?

Answer»

$Two \:digit \: numbers \: are \: 10,11,12,\cdot\cdot\cdot \\98,99$

$Total \:cards \: in \:the \:box \\= 99 - 10 + 1 \\= 90$

$Number \:of \\ total \: possible \: outcomes = 90 \: --(1)$

$multiples \:of \: 6 \:in \: the \\box = { 12,18,24, \cdot \cdot \cdot , 96 }[tex] Number \:of \: multiples \:of \: 6 \:in \: the \\box = 15$

$Number \:of \: favourable \: outcomes = 15 \:--(2)$

$P(a \: multiple \:of \:6) = \frac{(2)}{(1)} \\= \frac{15}{90} \\= \frac{1}{6}$

THEREFORE.,

$\red {P(a \: multiple \:of \:6)}\green {= \frac{1}{6}}$

•••♪

Discussion

36.	The area of a square plot is 4900msquare.If a man walks around it with a speed of 4km per hour, then how much time will he take to go round it once
Answer» ANSWER: SPEED = distance÷time time=distance÷speed 4900÷4=1225 HOURS

36.

The area of a square plot is 4900msquare.If a man walks around it with a speed of 4km per hour, then how much time will he take to go round it once

Answer»

ANSWER:

SPEED = distance÷time

time=distance÷speed

4900÷4=1225 HOURS

Discussion

37.	The 14 term is twice if it 16 term is -a . find the sum of 20 tetm
Answer» ANSWER: □□□hey MATE your answer is in the ATTACHMENT above□□□

37.

The 14 term is twice if it 16 term is -a . find the sum of 20 tetm

Answer»

ANSWER:

□□□hey MATE your answer is in the ATTACHMENT above□□□

Discussion

38.	What will be the answer of iv.number .please tell me
Answer» 640 is the REQUIRED answer.... SOLVE it by BODMAS rule to GET the answer..

38.

What will be the answer of iv.number .please tell me

Answer»

640 is the REQUIRED answer.... SOLVE it by BODMAS rule to GET the answer..

Discussion

39.	BPT Theorem how to solve
Answer» ANSWER: HEY MATE here's your answer SEE the ATTACHMENT

39.

BPT Theorem how to solve

Answer»

ANSWER:

HEY MATE here's your answer

SEE the ATTACHMENT

Discussion

40.	How many isometric sketches can be drawn for any 3D solid?
Answer» ANSWER: I DONT UNDERSTAND it Step-by-step EXPLANATION: please write again

40.

How many isometric sketches can be drawn for any 3D solid?

Answer»

ANSWER:

I DONT UNDERSTAND it

Step-by-step EXPLANATION:

please write again

Discussion

41.	Please tell me the answer quickly
Answer» ANSWER: the QUESTION is not UNDERSTANDABLE.......

41.

Please tell me the answer quickly

Answer»

ANSWER:

the QUESTION is not UNDERSTANDABLE.......

Discussion

42.	Choबह न्यूट्रिएन्ट, जो शरीर की सुरक्षा करता है-(A) विटामिन एवं मिनरल(B) कार्बोहाइड्रेट एवं वसा(C) प्रोटीन एवं कार्बोहाइड्रेट्स(D) रफेज एवं मिनरल
Answer» ANSWER: uiodugee ei9z he j2 Step-by-step explanation: U yes to the is jhbfdd is the correct address is a size SMALLER than the other ONE is a size smaller than the other

42.

Choबह न्यूट्रिएन्ट, जो शरीर की सुरक्षा करता है-(A) विटामिन एवं मिनरल(B) कार्बोहाइड्रेट एवं वसा(C) प्रोटीन एवं कार्बोहाइड्रेट्स(D) रफेज एवं मिनरल

Answer»

ANSWER:

uiodugee ei9z he j2

Step-by-step explanation:

U yes to the is jhbfdd is the correct address is a size SMALLER than the other ONE is a size smaller than the other

Discussion

43.	एक बिजली के पंखे का क्रय मूल्य 850 रु. है। उसको 18% लाभ पर बेचने सेक्या मूल्य प्राप्त होगा?
Answer» Answer: 850 +153 = 1003 .... 1ts just it's 18% INCLUDING VALUE

43.

एक बिजली के पंखे का क्रय मूल्य 850 रु. है। उसको 18% लाभ पर बेचने सेक्या मूल्य प्राप्त होगा?

Answer»

Answer:

850 +153 = 1003 .... 1ts just it's 18% INCLUDING VALUE

Discussion

44.	15. The minute hand of a circular clock is 11 cm long. How far does the tip of the minute handmove in 2 hours? (Take pi = 3.14)
Answer» ANSWER: 138.15cm is your answer

44.

15. The minute hand of a circular clock is 11 cm long. How far does the tip of the minute handmove in 2 hours? (Take pi = 3.14)

Answer»

ANSWER:

138.15cm is your answer

Discussion

45.	9. The area of a sector of a circle of 6 cm radius is151 sq. cm. Find the measure of the arc andlength of the arc corresponding to the sector.
Answer» Step-by-step EXPLANATION: DETAILED ANSWER in the IMAGE

45.

9. The area of a sector of a circle of 6 cm radius is151 sq. cm. Find the measure of the arc andlength of the arc corresponding to the sector.

Answer»

Step-by-step EXPLANATION:

DETAILED ANSWER in the IMAGE

Discussion

46.	A retired teacher donates Rs.5000 to the institution to be used as five cash prizes to Std.X students scoring highest marks in their overall academic performance. If each prize is Rs. 100 less than its preceding prize, find the value of each of the prizes.Please answer correct with explanation
Answer» Question :- A retired TEACHER donates Rs.5000 to the institution to be USED as five CASH prizes to Std.X students scoring highest marks in their overall academic performance. If each prize is Rs. 100 LESS than its preceding prize, FIND the value of each of the prizes. ? Solution :-- it is given that, the teacher donates Rs.5000 total between 5 students and each price is 100 less than the preceding prize . So, we can say that, the series is in AP, where sum of 5 numbers is 5000. we have now, → Total sum = 5000 → Number of terms = 5 → Common Difference = (-100) → Let First term = a . we know that, now, → sum of n terms of AP = n/2 [ 2a + (n-1)d ] Putting values now, we get, → 5000 = 5/2 [ 2a + (5-1)(-100) ] → 10002 = 2a - 400 → 2a = 2400 Dividing* both sides by 2 , → a = 1200 . So, First price is = Rs.1200 → 2nd price = 1200 - 100 = Rs.1100 → 3rd price = 1100 - 100 = Rs.1000 → 4th price = 1000 - 100 = Rs.900 → 5th price = 900-100 = Rs.800

46.

A retired teacher donates Rs.5000 to the institution to be used as five cash prizes to Std.X students scoring highest marks in their overall academic performance. If each prize is Rs. 100 less than its preceding prize, find the value of each of the prizes.Please answer correct with explanation

Answer»

Question :- A retired TEACHER donates Rs.5000 to the institution to be USED as five CASH prizes to Std.X students scoring highest marks in their overall academic performance. If each prize is Rs. 100 LESS than its preceding prize, FIND the value of each of the prizes. ?

Solution :--

it is given that, the teacher donates Rs.5000 total between 5 students and each price is 100 less than the preceding prize .

So, we can say that, the series is in AP, where sum of 5 numbers is 5000.

we have now,

→ Total sum = 5000

→ Number of terms = 5

→ Common Difference = (-100)

→ Let First term = a .

we know that, now,

→ sum of n terms of AP = n/2 [ 2a + (n-1)d ]

Putting values now, we get,

→ 5000 = 5/2 [ 2a + (5-1)(-100) ]

→ 1000*2 = 2a - 400

→ 2a = 2400

Dividing both sides by 2 ,

→ a = 1200 .

So,

First price is = Rs.1200

→ 2nd price = 1200 - 100 = Rs.1100

→ 3rd price = 1100 - 100 = Rs.1000

→ 4th price = 1000 - 100 = Rs.900

→ 5th price = 900-100 = Rs.800

Discussion

47.	In given figure, O is the centre of the circle. Find the value of ZACB
Answer» ANSWER: sorry no figure is GIVEN, without that I can't answer my friend, not only me no one cannnn... hope this helps if so then don't forget to THANK and mark as BRAINLIEST

47.

In given figure, O is the centre of the circle. Find the value of ZACB

Answer»

ANSWER:

sorry no figure is GIVEN, without that I can't answer my friend, not only me no one cannnn...

hope this helps if so then don't forget to THANK and mark as BRAINLIEST

Discussion

48.	The altitude of a right triangle is 7 cmless than its base. If the hypotenuse is13 cm. find the other two sides.please answer.
Answer» Answer: LET base be = X cm Altitude = x - 7 cm Hypotenuse = 13 cm By the Pythagoras Theorem: H^2 = P^2 + B^2 13^2 = x^2 + (x-7)^2 169 = x^2 + x^2 + 49 - 14x 169 = 2x^2 - 14x + 49 2x^2 - 14x - 120 = 0 x^2 - 7x - 60 = 0 x^2 - 12x + 5x - 60 = 0 x(x-12) + 5(x-12) = 0 (x+5)(x-12) = 0 x = 12, (-5) Since, side can't be negative, x = 12 cm Base = 12 cm Altitude = 12 - 7 = 5 cm __________________

48.

The altitude of a right triangle is 7 cmless than its base. If the hypotenuse is13 cm. find the other two sides.please answer.

Answer»

Answer:

LET base be = X cm

Altitude = x - 7 cm

Hypotenuse = 13 cm

By the Pythagoras Theorem:

H^2 = P^2 + B^2

13^2 = x^2 + (x-7)^2

169 = x^2 + x^2 + 49 - 14x

169 = 2x^2 - 14x + 49

2x^2 - 14x - 120 = 0

x^2 - 7x - 60 = 0

x^2 - 12x + 5x - 60 = 0

x(x-12) + 5(x-12) = 0

(x+5)(x-12) = 0

x = 12, (-5)

Since, side can't be negative, x = 12 cm

Base = 12 cm

Altitude = 12 - 7 = 5 cm

__________________

Discussion

49.	In a triangle ABC,AB =8cm ,BC=7cm ,AC=6cmD,E and F are midpoints of AB,BCand CA respectively find the lengths of the sides of triangle DEF
Answer» Step-by-step EXPLANATION: DE EF FSD are RESPECTIVELY same

49.

In a triangle ABC,AB =8cm ,BC=7cm ,AC=6cmD,E and F are midpoints of AB,BCand CA respectively find the lengths of the sides of triangle DEF

Answer»

Step-by-step EXPLANATION:

DE EF FSD are RESPECTIVELY same

Discussion

50.	115. By what number should be dividedso that the quotient becomes 128?
Answer» Answer: if 14720 is DIVIDED by 115 then the QUOTIENT will be 128 *mark* it as a *BRAINLIEST* *answer*

50.

115. By what number should be dividedso that the quotient becomes 128?

Answer»

Answer:

if 14720 is DIVIDED by 115 then the QUOTIENT will be 128

mark it as a BRAINLIEST answer

Discussion

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