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A shape consists of a quarter circle (radius r = 4cm) attached to a triangle (side length = 4cm and hypotenuse = 5cm). This shape is surrounded by a square (side length 8cm). If the shape is coloured in, what is the area in the square that is uncoloured?

Draw out what the question says. Geometric problems are easier to solve when they can be visualised. First calculate the area of the quarter circle: A = 1/4 \pi r^2Use Pythagoras to calculate the base len...

TA
Answered by Tom A. Maths tutor
5031 Views

“Their love is too idealistic ever to end in happiness.” To what extent do you agree with this view of Shakespeare’s dramatic presentation of Othello and Desdemona in this extract and elsewhere in the play?


In Shakespeare’s romance plays, for example in Romeo and Juliet, a large emphasis is placed on idealistic love which does not usually end well for these two lovers. His written romances are strong, ...

EB
11455 Views

Show that the equation 2sin^2(x) + 3sin(x) = 2cos(2x) + 3 can be written as 6sin^2(x)+3sin(x) - 5 = 0. Hence solve for 0 < x < 360 degrees. Giving your answers to 1.d.p.

2sin^2(x) + 3sin(x) = 2cos(2x) + 32sin^2(x) + 3sin(x) = 2(cos^2(x) - sin^2(x) ) + 32sin^2(x) + 3sin(x) = 2(1- 2sin^2(x) ) + 32sin^2(x) + 3sin(x) = 2 - 4sin^2(x) + 36sin^2(x) + 3sin(x) - 5 = 0 let sin(x) =...

TA
Answered by Tom A. Maths tutor
3982 Views

‘The Bennet family are an embarrassment to Elizabeth.’ How far do you agree with this view? (Taken from OCR 2017 paper)

In guiding my pupil's response to this question, I would first draw attention to the phrasing of the question - 'How far do you agree' as indicative of a well-rounded and considered response - th...

EF
Answered by Esme F. English tutor
2625 Views

Quel rôle la propagande a-t-elle joue dans le régime Vichy ?

Au sommet du Régime Vichy, des centaines de milliers d'affiches et de bustes ont été produits, le profil de Pétain était sur les timbres-poste, et des chansons ont été écrites au sujet de Pétain pour proc...

KW
Answered by Katherine W. French tutor
2314 Views

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