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| 69451. |
(-6*x %2B 7)/((9*x))=1/15 |
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Answer» 7 - 6x/9x = 1/15 15(7 - 6x) = 9x 105 - 90x = 9x 105 = 99x x = 105/99 = 35/33 |
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| 69452. |
1.In Fig. 10.36, A,B and C are three points on acircle with centre O such that L BOC = 30° andAOB 60°. If D is a point on the circle otherthan the arc ABC, find <ADC. |
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| 69453. |
After how many decimal places will the decimal expansion of 2423terminate? |
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Answer» Like if you find it useful |
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| 69454. |
LP51. The decimal expansion of 23.62 willterminate after how many decimal places? |
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Answer» 51/2^3×5^2=51/200 =51×5/200×5 =255/1000 =0•255Therefore,it will terminate upto 3 places of decimal |
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| 69455. |
Therefore, by Theorem 10.12, lEXERCISE 10.510.3%, A.B and C are three points on acice with centre O such that BOC 30 andLAOB = 60°. If D is a point on the circle other6030than the arc ABC, find LADC |
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Answer» Given: ∠AOB = 60° ∠BOC= 30° Here,∠AOC = ∠AOB + ∠BOC ∠AOC = 60°+30° ∠AOC = 90° Since Arc ABC makes an angle of 90° at the centre of the circle. ∠ADC= 1/2∠AOC [SINCE THE ANGLE SUBTENDED BY AN ARC AT THE CENTRE IS DOUBLE THE ANGLE SUBTENDED BY IT AT ANY POINT ON THE REMAINING PART OF THE CIRCLE] ∠ADC= 1/2(90°) ∠ADC= 45° Hence, ∠ADC= 45° |
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| 69456. |
5: How many decimal places does (1.4)3 have? |
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Answer» 1.4³ has three decimal places.1.4³=2.744 |
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| 69457. |
This algorithm WUI3(c, d) denotes the HCF of c and d, etc.mple 1 : Use Euclid's algorithm to find the HCF of 4052 and 12576.to 12576 and 40 |
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Answer» Tqsm |
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| 69458. |
Try This!Subt64223Enjoying Mathematics |
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Answer» the correct answer is619 |
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| 69459. |
43. 110A man buys 5 horse and 13 cows for 10000 rupees.hesold horses at a profit of 15% and cows at a loss of10% .if he gains total 375 rupees.Then what is thecost price of 1 cow and 1 horse?3. FACE |
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Answer» cp=10000 p=375 p%=375/10000×100=3.75% by the allocation method we got the ratio 11:9 then, 11+9=20 rate of horse=11/20×10000=1100, rate of cow=9/20×10000=450 (ans) |
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| 69460. |
4 children shared 500 g of peanutsequally. How much did each get? |
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Answer» Given:4 children shared 500g of peanutpeanut for each student : 500/4=125Therefore each student got 125g of peanut 4 children are share peanut =500geach student have peanut =500/4=125 Ans |
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| 69461. |
Eight children shared a pizzaequally. What fraction of thepizza did each child get? |
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Answer» Fraction of pizza each child got= 1/8 |
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| 69462. |
Simplity by using distribuuve propony. To213Find two rational numbers between |
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Answer» To find two rational numbers between - 2/3 and 3/4 Take LCM of 3 and 4 = 12 "-2/3 = - 2*4/3*4 = - 8/123/4 = 3*3/4*3 = 9/12 Now two rational numbers between - 8/12 and 9/12 are1/12 and 2/12 another easier method: 1/12 and 2/12 is the right answer |
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| 69463. |
25 Simplify 64V3Simplity 2/3-6 3 V30PA card is dran at rondom f/ |
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Answer» hit like if you find it useful |
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| 69464. |
\left. \begin{array} { l } { \text { simplity the folloning. } } \\ { ( a ^ { 2 } + b ^ { 2 } ) ( a ^ { 2 } + b ^ { 2 } ) - ( a ^ { 2 } b ^ { 2 } ) ( a ^ { 2 } b ^ { 2 } ) } \end{array} \right. |
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| 69465. |
(॥) उसका एक VYN 19() el s a (8 उपरोक्त ilL ot गाने नि लिखित में थे तो! थी o 20 यदि coso=x &, 2 >0s07 keWi |
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| 69466. |
(-5)/6 %2B (-5)/7 %2B (-7)/9 %2B (-15)/7 |
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Answer» (-5/7)+(-15/7)+(-5/6)+(-7/9)=-20/7+(-45-42/54)=-20/7-87/54=-1080-609/378=-1689/378=-563/126 -563/126 is your answer......... |
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| 69467. |
Write down decimal expansion of 3F23x 52 |
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Answer» 23/ (2)^3 x (5)^2= 23/(8 x 25)= 23/200= .115 Therefore decimal expansion is .115 or 115 x 10^-3 |
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| 69468. |
After how many decimal places will the decimal expansion of 23/ 2^4*2^5 terminate? |
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| 69469. |
i diaste19.cm, a conical c vity ผู้{ Sanne..kegdiameter is holloued eut Find the trtol uduce area |
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Answer» It is given that, height (h) of cylindrical part = height (h) of the conical part = 7 cm Diameter of the cylindrical part = 12 cm ∴Radius (r) of the cylindrical part = 12/2 = 6cm ∴ Radius of conical part = 6 cm Slant (l) of conical part √r2 + h2 √36 + 49 √85 cm 9.22 cm(approx.) Total surface area of the remaining solid = CSA of cylindrical part + CSA of conical part + Base area of the circular part 2πrh + πrl + πr2 2 * 22/7 * 6 * 7 +22/7 * 6 * 9.22 + 22/7 * 6 * 6 264 + 173.86 + 113.14 551 cm Thanks |
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| 69470. |
ure, AOC is a diameter of the circle andAarc BYC. Find. In thearc AXBBOC. |
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| 69471. |
कि ७0 ०६ १० Dhenvokbn ८ ३८००1९ि तरह Shaesaston 28 ७._mia —Xead _ A3 ) Tod Nev Mcanhs 224... 2 Aol CE |
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Answer» Mean = sum of observations / Total observationsGiven,Mean of 10 observations = 35 35 = sum of observations /10Sum of observations = 350 Difference of actual observation and mis-read observation = 32 - 23 = 9 New Mean = (350 + 9)/10 = 35.9 |
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| 69472. |
Q5: Explain in detail Cohen-Sutherland algorithm for clipping a line. |
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Answer» TheCohen–Sutherland algorithmis a computer-graphicsalgorithmused forline clipping. Thealgorithmdivides a two-dimensional space into 9 regions and then efficiently determines the lines and portions of lines that are visible in the central region of interest |
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| 69473. |
MATHEMATICS2(j) TOD;(k) 5.152 |
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Answer» 1.multiply divide by 2 4.multiply divide by 2 5.multiply divide by 3 |
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| 69474. |
l he taxi fare after each km when the fare is 15 for the first km and 8 for eachadditional km.(i) |
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| 69475. |
34. If a bill is shared equally amongst x persons and each p 'sRs 1.40, how many paise does the bill amount to?ntininguee coins |
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| 69476. |
किसी वस्तु को र 140 में खरीदकर १ 168 में बेचा गया। लाभ प्रतिशत ज्ञात करो?(a) 28% | (b) 15%(c)240% .(d) 20% |
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Answer» c.p=140s.p=168profit=140-168=28profit%=28÷140×100=20% |
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| 69477. |
A social service group buys 43.7 kgof rice at 12 per kg and distributes it equallyamongst 152 poor people. What was the cost of thequantity of rice that each person got? |
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Answer» Total cost= 43.7*12 = 524.4 This cost was distributed among 152 people.Cost shared by one person = 524.4/152 = Rs 3.45 |
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| 69478. |
gressIO1,The taxi fare after each km when the fare is? 1 5 for the first km andadditional km(i)8 for each |
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Answer» No, because the total fare (in ?) after each km is 15,(15+ 8), (15 + 2 x 8), (15+ 3 x 8),…= 15,23, 31, 39,…Let t1= 15,t2= 23,t3= 31 and t4= 39Now, t2- t1= 23 - 15 = 8t3- t2= 31 - 23 = 8t4- t3= 39 - 31 = 8Since, all the successive terms of the given list have same difference i.e., common difference = 8Hence, the total fare after each km form an AP. |
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| 69479. |
R-83-2402Simplity |
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Answer» (-3)×(-3)×(-3)×(-3)×(5/3)×(5/3)×(5/3)×(5/3) = 5×5×5×5 = 25×25 = 625 If you find this answer helpful then like it. |
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| 69480. |
5715.) In a school,the school.of the students are boys. If there are 240 girls, find the number of boys8 |
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| 69481. |
22. If a square is inscribed in a circle, findthe ratio of the areas of the cirand the square. |
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| 69482. |
If you choose an answer tothis qvestion at ra ndom, whatis the chance you wi il7be correcTA) 25%C) 60%D) 2.5% |
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Answer» 50% chance to be correct.Because 50%of 4 options is 2 and two options are same. good |
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| 69483. |
2. The radius of a hemisphere is 4 cm, then curved surface of hemisphere will be:(a) 64 cm2 (b) 48t48T cm2cm2(c) 32Tt cm2(b) 16Ď cm2 |
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| 69484. |
nor arc AXB aid uhe ia. Which of the following statements are true and which are(1) Each radius of a circle is also a chord of the circle(ii) Each diameter of a circle is also a chord of the circle.T(iii) The centre of a circle bisects each chord of the circle(iv) A secant of a circle is a segment having its end points on the cir(v) A chord of a circle is a segment having its end points on the cir |
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| 69485. |
K.2:Find the area of the sector of cirich subtends an angle of 120° at the centrradius of the circle is 6 cm |
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Answer» Area of sector = (120/360)*π*r²= (1/3)*(22/7)*(6²)= 37.71 cm² Please hit the like button below |
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| 69486. |
Wite the decimal expansion of \frac{1717}{2^{2} \times 5^{3}} without actual division. |
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Answer» So, decimal form is 3.434 |
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| 69487. |
(3) To find number of notes that Anushka had, complete the following activitySuppose that Anushka hadnotes ofて10 andnotes of? 50 eachgot 2500/- from Anand If Anand would have given her theas denominations mentioned above amount by interchanging number cnotes, Лnushka would have receivedequationIThe No. of notes500 less than the previous amountequation Il |
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Answer» GIVEN THAT:- x notes of 10 Rs.y notes of 50 Rs. AND the sum is 2500 Rs. NOW, 10x + 50y = 2500 -------------(1) 50x + 10y = 2000 ------------(2) adding-----(1) & ------(2) we get, 50x + 10y = 200010x + 50y = 2500--------------------------60x + 60y = 4500 2X + 2y = 150---------(3) subtracting-----(1) & -----(2) 50x + 10y = 200010x + 50y = 2500(-)____(-)____(-)---------------------------40x - 40y = -500 2X - 2y = - 25----------(4) From-----(1) & -----(2) 2x + 2y = 1502x - 2y = -25-------------------4x = 125 X = 125/4 X = 30.9 put in -----(3) We get, 2(30.9) + 2y = 150 2y = 150 - 62.5 2y = 87.5 Y = 87.5/2 Y = 43.75 anushka has 20 notes of rupees 100 and 10 notes of rupees 50 |
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| 69488. |
86. If an amount of 85602 is distributed equallyamongst 33 persons. How much amount wouldeach person get?(a) 2594 (b) 2954 (c) 2549 (d)2495 |
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Answer» Total amount = Rs 85602Amount distributed among 33 persons Then amount each person get= 85602/33= Rs 2594 |
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| 69489. |
L ln whict of the folenwing sithustions, does the list of numbers involved make an arithmeticpogrsson and whyThe texi fare ather cach km when the fare is Rs 15 for the first km and Rs 8 for eachadditionalkm |
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| 69490. |
23. In ΔABC if LA + LB = 125° and LA + LC = 113°, then LA = ? |
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Answer» In triangle sum of all angles = 180 Then,Angle A + Angle B + Angle C = 180.....(1) Given,Angle A + Angle B = 125.....(2)Angle A + Angle C = 113.....(3) Add eq(2) and eq(3), we get2Angle A + Angle B + Angle C == 238......(4) Subtract eq(1) from eq(4)Angle A = 238 - 180 = 58 |
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| 69491. |
() 15 2402.A man had Rs 16000, some of which helent at 8% per annum and the rest at 9%per annum simple interest. If the totalannual interest be Rs 1340, the moneylent at 8% is :(a) Rs 6000 (b) Rs 8000(c) Rs 10000 (d) Rs 12000 |
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Answer» a correct answer is (d) Therefore a man lent at 8% is rs.10000 |
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| 69492. |
A rectangular tank is 80m long and 25m broad. Water flows into it through a pipe whose cross section is 25m×mat the rate of 16km/h.How much level of water rises in tank in 45 minutes. |
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Answer» Thanks a lot |
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| 69493. |
_ दो प्राकृतिक संख्याओं का योग 8 है। उन संख्याओं कोज्ञात कीजिए जबकि उनके व्युत्क्रमों का योग प्र है।% St LY N Ay |
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Answer» a + b = 8 1/a + 1/b = 8/15 (a+b)/ab = 8/15 8/ab = 8/15 ab = 15 a = 5 b = 3 |
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| 69494. |
27. The area of cross-section of a rectangular pipe is 5.4 cm2 and water is pumpout of it at the27 kmph. Find, in litres, the volume of water which flows out of the pipe in 1 minute.rate of |
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| 69495. |
2. Aparticle of mass 100g, is moving in a vertical cir-cle of radius 2m. The particle is just 'looping theloop'. What is the speed of particle and the tensionin string at the highest point of the circular path?(g 10ms2) |
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Answer» it is wrong |
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| 69496. |
(b) In the given figure, AOC is the diameter of the circle, with centre 0. Ifarc AXB is halfof arc BYC, find 4BOC.13] |
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| 69497. |
rational1. Without actual division, show that each of the following rainumbers is a terminating decimal. Express each in decimal form(i) 2(v) 323(i) 125(iii)171(iv) Tatj(ii)(ii)800IV) 1600(vi) 3115320 |
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Answer» find the square roots of 1089 by division method |
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| 69498. |
5.Pummy went on a journey. She spent Rs. 1235 on the train fareRs. 240.50 on the bus fare, Rs. 405.50 on food. If she had Rs. 5000 withher, how much did she spend altogether and what amount is left with her? |
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Answer» Given,Total amount = 5000 Amount spent:Train fare = 1235Bus fare = 240.50On food = 405.50 Total amount spent = 1235 + 240.50 + 405.50= Rs 1881 Amount left with her= 5000 - 1881= Rs 3019 |
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| 69499. |
How much time will it take for amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest? |
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Answer» 81 * 100 / 450 * 4.5 = T T = 4 years |
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| 69500. |
Ex. 4. A sum of Rs. 800 amounts to Rs. 920 in 3 years at simple interest. If theinterest rate is increased by 3%, it would amount to how much ? |
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