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Find the volume of a cone with radius 13cm and with a perpendicular height of 9cm.

volume= 1/3(πr2)h= 1/3 (3.14x 13x 13)x9= 1592.79 cm3 (2.d.p) = 1590 cm3 (3.s.f)
r= radius h= perpendicular height

MB
Answered by Meghan B. Maths tutor
2616 Views

3 eggs cost £4.80 and 4 slices of bread cost £3.00. What is the cost of 1 egg and 1 slice of bread?

3 eggs = £4.80£4.80/3 = £1.601 egg = £1.604 slices of bread = £3.00£3.00/4 = £0.751 slice of bread = £0.751 egg and 1 slice of bread = £1.60 + £0.75 = £2.35

OA
Answered by Oluwatobi A. Maths tutor
2793 Views

Factorise Completely 8x^2 + 4xy

The answer is 4x(2x+y).The point of factorising is to find the common factor of the two variables in the original equation. Once we've found the common factor (4x in this instance), we bring it to the out...

YH
Answered by Yusef H. Maths tutor
13535 Views

A circle has equation: (x - 2)^2 + (y - 2)^2 = 16. It intersects the y-axis (y > 0) at point P and the x-axis (x < 0) at point Q. Find the equation of the line connecting P and Q and of the line perpendicular to PQ passing through the circle's centre.

(x - 2)2 + (y - 2)2 = 16 x = 0 --> 4 + (y - 2)2 = 16 --> y - 2 = ±2sqrt{2} --> y = 2 ± 2sqrt{2} --> P(0,2 + 2sqrt{2})y = 0 --> (x - 2)2 + 4 = 16 ...

Answered by Maths tutor
2788 Views

Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.

(x + 1)(x + 2) = x^2 + 2x + x + 2 = x^2 + 3x+2therefore(x + 1)(x + 2)(x+3)= (x^2+3x+2)(x+3) = x^3 + 3x^2 + 2x + 3x^2 + 9x + 6 = x^3 + 6x^2+ 11x + 6where a=1 b=6 c=11 and d=9expansion of brackets can be do...

JT
Answered by Jeremy T. Maths tutor
2804 Views

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