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A square, with sides of length x cm, is inside a circle. Each vertex of the square is on the circumference of the circle. The area of the circle is 49 cm^2. Work out the value of x. Give your answer correct to 3 significant figures.

The question tells us that the area of the circle is 49cm 2 , therefore we are able to form the equation πr 2 =49 (where r = radius of the circle). We can now work out the radius of the circle by rearranging...
SJ
Answered by Sian J. • Maths tutor
23678 Views

How to I solve system of simultaneous equations (3x3)?

The quickest way would be to find determinants of the matrix; this way we can verify whether the matrix has unique (then we can directly calculate it) solution, infinite number of solutions or no solution. I...
KB
Answered by Kuba B. • Maths tutor
1693 Views

Which of these shapes has the most sides? Hexagon, Octagon, Rhombus, Trapezium

Hexagon = 6 sides,Octagon = 8 sides,Rhombus = 4 sides,Trapezium = 4 sides. Therefore, the octagon has the most sides.
II
Answered by Ioan Iulian V. • Maths tutor
27199 Views

Expand the expression (3x+2)(3-2x)

9x - 6x 2 + 6 - 4x-6x 2 + 5x + 6
AH
Answered by Angus H. • Maths tutor
3949 Views

The function f(x) is defined by f(x) = 1 + 2 sin (3x), − π/ 6 ≤ x ≤ π/ 6 . You are given that this function has an inverse, f^ −1 (x). Find f^ −1 (x) and its domain

To find inverse functions we swap the variables of the function we are taking the inverse of. let y=1+2sin(3x)so now, x=1+2sin(3y)Aiming to make y the subject, x-1= 2sin(3y)Therefore, (x-1)/2=sin(3y), 3y= ar...
HC
Answered by Harry C. • Maths tutor
9886 Views