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The diagram shows a prism. The cross-section of the prism is an isosceles triangle. The lengths of the sides of the triangle are 13 cm, 13 cm and 10 cm. The perpendicular height of the triangle is 12 cm. The length of the prism is 8 cm. Work out the total

13 x 8 = 1048 x 10 = 800.5 x 10 x 12 = 60
SA = 104 + 104 + 80 + 60 + 60 SA = 408 cm2

Answered by Rebecca D. • Maths tutor

9558 Views

A curve has the equation y = (1/3)x^3 + 4x^2 + 12x +3. Find the coordinates of each turning point and determine their nature.

The turning point of a curve can be visualised in your head (or on paper/screen using diagram) as the point in which the curve charges direction – and at this point the gradient of the curve is equal to...

Answered by Dan S. • Maths tutor

4579 Views

given that at a time t, a particle is accelerating in the positive x-direction at 1/t ms^-2, calculate the velocity and the displacement of the particle at time t = 2s

v=ln2, x=2ln2 - 2

Answered by Toby S. • Maths tutor

3732 Views

Write 156 as a product of its prime factors.

Before we begin to answer this question we need to have a clear idea of what a prime number is: A prime number is a number greater than 1 that cannot be found by multiplying 2 smaller numbers. To answer t...

Answered by Alexander A. • Maths tutor

12750 Views

Solve 7x – 9 = 3x + 2

aim is to move all numbers to one side and all the x to one side.
whatever you do to one side, you must do to the other side.
For example I want to remove -9 on the left by adding +9 to left si...

Answered by Shahswar Z. • Maths tutor

4308 Views