As salamu alikum
Salam, I have 3 questions the first is an algebra one.. I'm so lost at the moment and i cannot figure this out.. I'm sure it's easy for many but i just cannot get it.
1. Use the formula A equals half bh to find A if b equals 9 and h equals 6.
this one is not algebra.
A = bh / 2 (divided by 2) .
Like it says; A equals
half of bh.
It's then simply a matter of substituting b = 9 and h = 6 into the equation,
A = (9 * 6) / 2
which gives us; A = 54 / 2 .This means A = 27
2. what is the length of a diagonal square of side 6 m? Give answer to one decimal place. (also how do i show the working to this answer?
Do you mean, "What is the length of the diagonal of a square of side 6m" ?
If so, this requires Pythagoras theorm. (a^2 (a squared) + b^2 = c^2)
Basically you split the square along the diagonal, leaving two triangles.Take one of the triangles, and you will notice that 2 sides are 6m in length.The other side, the hypotenuse (the diagonal) you must find.
From the formula above give the sides you know the length of as 'a' and 'b' . The hypotenuse (the longest side - the diagonal) is 'c'.
So, c = the square root of a^2 + b^2 . Therefore, c = squareroot of 6^2 + 6^2
Plug the numbers into your calculator and then round of your answer to 1 d.p.
3. A flagpole is held steady by a wire connected to the pole 8 m above ground. The wire is also attached to the ground 3 m from the base of the pole. Find the length of the wire correct to 2 decimal places.
Again, Pythagoras theroem needs to be used here. The wire will be the hypotenuse (c) and the flagpole (8m) will be 'a', and the distance between pole and wire (3) will be 'b'.
c (length of wire) = squareroot of a^2 + b^2 . Therefore c = squareroot of 64 + 9
Its difficult to explain pythagoras theorm without diagrams of the triangles.You might want to take a look at
http://www.bbc.co.uk/schools/gcsebitesize/maths/shapeih/pythagorastheoremrev2.shtml
Wa alikum salam