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Here, LHS = sin65°+cos65° = sin65°+cos(90-25°) = sin65°+ sin25°   [ Since, cos(90-A) = sinA.] = 2Sin(65+25)/2. Cos(65 - 25)/2    [Since,SinC + SinD = 2Sin(C+D)/2.Cos(C-D)/2.] = 2 .....

Here,  1. Arc AD = Arc BC    Given. 2. Arc AD + Arc DC = Arc BC + Arc CD  [ Adding common arc on b.s.] or, Arc ADC = Arc BCD 3. Chord AC = Chord BD      [ As, equal arcs ADC and BCD makes equal .....

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Here, Length = AB = 24m. Diagonal ,AC = 26m Now using pythagoras theorem,  BC = √(AC2  .....

Here, Area of square field = 48400m2  or, L2 = 48400m2    [ Since, area of square = L2.] or, L = √(48400m2) = 220m Again, 1 round = Perimeter of equare = 4L = 4 x 220m = 880m 5 round = 5 x 880m = 4400m So, .....

Sodium Hydroxide NaOH, is comprised of a positive sodium cation Na+ and a polyatomic hydroxide anion OH−.

In solution hydroxide OH− is typically insoluble but with a group IA alkali metal like .....

A glucoamylase enzyme is used to break down the starch molecules and dextrins. This enzyme is capable of achieving the complete degradation of the starch to fermentable sugars .....

Here,  AD = BC = 16cm, BF = 1/2 of BC = 8cm    [ Since, in isoscale triangle EBC, perpendicular EF bisects the base BC.] In right angled triangle EBF, .....

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LHS  = sin70°-cos80°+cos140°       = sin70°-cos80°+cos(180° - 40)       = sin70 - cos80 - cos40  [ Since, cos(180 - A) = -cosA.]        = sin70 - .....

Here, RHS = sin2(π/4 - A/2) = [ 1 - cos2.(π/4 - A/2)] / 2           [ sin2A = [ 1 - cos2A]/2.] = [ 1 - cos(π/2 - A)]/ 2 =  [ 1 - sin2A]/2 = [ 1 - 2sinA cosA]/ 2  [ Since, sin2A = 2sinA .....

Here, LHS = cosec2A - cot2A  = 1/sin2A - cos2A/sin2A = (1 - cos2A)/sin2A = ( 1 - 1 + 2sin2A) / (2sinA cosA)  [ Since, cos2A = 1 - 2sin2A and sin2A = 2sinA cosA.] = 2sin2A / (2sinA cosA) = sinA / cosA = TanA = .....

Here, LHS = (sinA + sin2A)/(1 + cosA + cos2A) =(sinA + 2sinA cosA )/(1 + cosA + 2cos2A - 1)  [ Since, cos2A =  2 cos2A - 1 and sin2A = 2sinA cosA.] = sinA(1 + 2cosA)/{ cosA(1 + 2cosA)} = sinA / cosA = TanA  = .....

Here, LHS = (1 - cos2A)/sin2A = ( 1 - 1 + 2sin2A)/ (2sinA cosA)    [ Since, cos2A = 1- 2 sin2A and sin2A = 2sinA cosA.] = 2sin2A / (2sinA cosA) = sinA / cosA = TanA = .....

Recombination of spectrum colors means the combining together of seven colors of white light produced by a prism to give back the white .....

The speed of sound is greater in hot air than it is cold air. This is because the molecules of air are moving faster and the vibrations of the sound wave can, therefore, be transmitted faster. This .....

Noise pollution, also known as environmental noise or sound pollution, is the propagation of noise with harmful impact on the activity of human or animal .....

Please post the complete question. RHS is .....

Given conditions, At present, The ratio of two men's age = 3 : 4  Let common term be 'x' So, Their ages is 3x and 4x After 4 years, Their ages will be (3x + 4) years and (4x + 4) years And, The ratio of their ages will be 7 : .....

Here, a2 + 2ab + b2 + a + b  = (a2 + 2ab + b2) + a + b  = (a+ b)2 + 1(a + b ) = (a + b)(a + .....

Here, 5x+2 -4×5x ÷ 21×5x  = 5x. 52 -4×5x /( 21×5x)  = 5x ( 25 - 4) / (21×5x) = 5x - x × 21/21 = 50 × 1  = .....

Here, a2 + 2ab + b2 + a + b  = (a2 + 2ab + b2) + a + b  = (a+ b)2 + 1(a + b ) = (a + b)(a + .....

Here,  4m2 - y2 + 4m + 1 = 4m2  + 4m + 1 - y2 = (2m)2  + 2.2m .1 + 12 - y2   = (2m + 1)2 - y2 Using formula of a2 - b2, we get = (2m + 1 + y)(2m + 1 - y) = (2m + y + .....

d) Here,  f(x) = (x+1) / (x3+1). When, x = 0.5,  f(0.5) = (0.5+1) / (0.53+1)= 1.5/1.125 = 1.3333 Similarly put other values given table and find it and fill in .....

LHS = (sin8A + sin2A)/(cos8A+ cos2A) Using formula of sinC + sinD and CosC + cosD, we get = {2 sin(8A+2A)/2 . cos(8A-2A)/2 }/{2 cos(8A+2A)/2 . cos(8A-2A)/2 } = sin5A / cos5A = tan5A = .....

Somethung is wrong in question. I think there must be 25 in place of 24. Plase check it. If  question is  25+5+1+1/5+ ......................, limiting value is .....

Here, radius =  distance between centre and passiing point or, r = √[ (7-3)2 + (7-4)2] = 5 units. Centre = (h,k) = (3, 4) Thus, equation is  (x - h)2 + (y - k)2 = r2 or, (x - 3)2 + (y - 4)2 = .....

Here, Radius = r = 14cm/2 = 7cm Height = 40cm TSA of Cylindrical wooden log = 2πr( r +h) = 2 x 22/7 x 7 x ( 7 + 40) cm2 = 2068cm2   Now ,  TSA of half part = 1/2 of TSA of Cylindrical wooden log + h x d     .....

Here,  Lenght of roller = h = 100cm Radius = r = 70cm Area covere in 1 revolution = CSA of roller                                        .....

Here,  The total surface area of a solid sphere = 616 cm2 or, 4πr2 = 616 cm2   or, πr2 = 616/  4 cm2  or, πr2  =  154  cm2  When, same sphere is cut into two .....

The question above is quite easy. You need to do these easy questions in your own way. Give a try. You need to write the effects of rapid population growth. Write the points in the section .....

Let the CP of 22l of oil be x. By question, CP of 22l of oil = Sp of 20l of oil = x Then, CP of 22l of oil = x CP of 1l of oil = x/22 Again, SP of 20l of oil = x SP of 1l of oile = x/20 Using formula, Profit amount = SP of 1l of oil - CP of 1l of .....

Silver is obtained from .....

Let the marked price of the television be x. Given, Discount percent = 20% VAT percent = 15% SP with VAT = Rs 9200 Using formula, Discount amount = Discount % of MP = 20% of x = ( 20/100 ) * x = 0.2x SP = MP - Discount amount = x - 0.2x = .....

Let the ratio be 3x and 5x. By question, 3x + 5x = 80 8x = 80 x = 80 / 8 x = 10 Then, 3x = 3 * 10 = 30 5x = 5* 10 = .....

Funicle - A filamentous stalk attaching a seed or ovule to the placenta. Nucellus - The central part of an ovule, containing the embryo sac. Integuments - A tough outer protective layer, especially that of an animal or plant. Chalaza .....

The DNA in the nucleus exists in two forms that reflect the level of activity of the cell. Heterochromatin appears as small, darkly staining, irregular particles scattered throughout the nucleus or accumulated adjacent to the nuclear .....

Here, by mid point theorem,  PQ//BC and  QP = 1/2 of BC or, BC = 2 x 8cm = 16cm. Now, Area of trap.BPQC = h(p1 + p2)/2 = 6cm( 8cm + 16cm)/2  = .....

Stakeholders are a group of people who have access and control over the resources and are responsible to address the needs of people. Some of the responsibilities of stakeholders while formulating plans are: identify the immediate needs of the .....

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The United Nations Human Settlements Programme (UN-Habitat) is the United Nations agency for human settlements and sustainable urban development. It was established in 1978 as an outcome of the First UN Conference on Human Settlements and .....

Here, f(x) = 3x + 5, fog(x+2) = 12x + 17 Put x = x - 2, we get fog(x - 2 + 2) = 12(x - 2) + 17 or, fog(x) = 12x - 7. or, f{g(x)} = 12x - 7 or, 3 g(x) + 5 = 12x - 7 or, g(x) = 4x - 4. Finally,  gof(x) = 88 or, g(3x + 5) = 88 or, 4(3x .....

Here,  Slant height of pyramid part = l = √[h2 + (a/2)2]  = √[1.22 + (0.5)2] = 1.3ft Now,  Surface area of 2 pillar = 2[ LSA of prism + LSA of pyramid]  A = 2[ perimeter of base x height of .....

Let the present age of grandson be 10x+y, then present age of grandfather is 10y+x. By question,first case  x + y = 7, or, x = 7 - y..............(i) Again, from the second case,      10x + y = 4(10y + x ) - .....

You must know the formula while doing problems in mathematics. SP = MP - Discount .....

Python Molurus is found in a variety of habitats. They are rainforests, river valleys, woodlands, scrublands, grassy marshes, and semi-rocky foothills. They are usually found in habitats with areas that can provide sufficient cover. This species .....

Here, The factors of 24 are: 2 ⨯ 2 ⨯ 2 ⨯ .....