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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...

BW
Answered by Barnaby W. Maths tutor
4422 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 = x2 - x - 2

0 = x2 - x - 30

0 = (x-6)(x+5)   x=6 x=-5

SW
Answered by Sophie W. Maths tutor
16140 Views

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 : (4i + 7j)N , (pi +5j)N , (-8i+qj) N Mass = 5 kg acceleration = (2i - j) A.Collect like terms (4+p-8)i +(7+5+q)j = (-4+p...

SL
Answered by Shane L. Maths tutor
9438 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 --> 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....

KM
15188 Views

'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...

YB
22396 Views

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