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I set up a tent (assume it’s a regular triangular prism) of length 2.2m. The triangular face of the tent is an isosceles triangle. The two identical sides are both 1.4m long and have an angle of 34degrees between them. Work out the volume of the tent -3sf

First work out the area of the triangular face using the formula 1/2 A B sin c:1/2 x 1.4 x 1.4 sin(34) = 0.548m2
recall volume of a regular prism = area of face x length
hence V = 0.5...

Answered by Chloe L. Maths tutor
2154 Views

Expand and simplify (a+b)^2

a2 + 2ab + b2

Answered by Kira F. Maths tutor
1161 Views

Expand and simplify (x-3)(3x+5)

This question requires us to know how to multiply out the brackets and collect like terms together. It is worth 3 marks in total. First, we draw a smiley face on the brackets in the question: link the x a...

Answered by Martha P. Maths tutor
4154 Views

Solve simultaneously: x^2+y^2=25 and y-3x=13

The substitution method means we have to rearrange the linear equation to find a variable, either x or y, then substitute it into the quadratic (and more difficult to solve) equation, as follows...x2...

Answered by Saffron C. Maths tutor
2502 Views

Expand and simplify (x – 2)(2x + 3)

This question is 3 marks, looking for 2 marks of working and 1 for correct answer. This type of question is called expanding brackets. A simple way to do this is using the acronym FOIL (First, Outside, In...

Answered by Freddie C. Maths tutor
3230 Views

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