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Solve for 0 =< x =< 360 16/(cos(x+25)+1) = 10, give answers to 2 d.p.

Rearrange to get cos(x+25) = 0.6 Use inverse cosine to get (x+25) = -53.13... 53.13... 306.86... 413.13... Isolate x to get x = -78.13... 28.13... 281.86... 388.13... Apply the limits and round the answers t...
BW
Answered by Barnaby W. • Maths tutor
4686 Views

if f(x) = 7x-1 and g(x) = 4/(x-2), solve fg(x) = x

fg(x) = 7(4/x-2) -1 = x 28/(x-2) - 1 = x 28/(x-2) = x +1 28 = (x+1)(x-2) 28 = x 2 - x - 2 0 = x 2 - x - 30 0 = (x-6)(x+5) x=6 x=-5
SW
Answered by Sophie W. • Maths tutor
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Three forces (4i + 7j)N, (pi +5j)N and (-8i+qj) N act on a particle of mass 5 kg to produce an acceleration of (2i - j) m s 2 . No other forces act on the particle. Find the resultant force acting on the particle in terms of p and q. THEN find p and Q

Three forces : (4 i + 7 j )N , (p i +5 j) N , (-8 i +q j ) N Mass = 5 kg acceleration = (2 i - j ) A.Collect like terms (4+p-8) i +(7+5+q) j = (-4+p) i + (12+q) j B. Recal_ f=ma therefore: 5(2i-j)=(-4+p) i +...
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Answered by Shane L. • Maths tutor
9705 Views

Calculate the mass of sodium amide needed to obtain 550 g of sodium azide, assuming there is a 95.0% yield of sodium azide. Give your answer to 3 significant figures.

2NaNH2 + N2O --&gt; NaN3 + NaOH + NH3 Mr(NaN3) = 65 Mr(NaNH2) = 39 n(NaN3) = 550/65 = 8.46 100% NaN3 = 550/65 x 100/95 = 8.91 n(NaNH2) = 2 x 8.91 = 17.8 m(NaNH2) = 17.8 x Mr = 17.8 x 39 = 694.7 = 695 g
KM
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'Desdemona is a a powerless victim in Othello' to what extent do you agree?

INTRODUCTION: In Othello, ,Shakespeare keeps within the time and social constraints surronding women when creating the tragic victim, Desdemona. I agree with the statement as although one may argue that Desd...
YB
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