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Write 0.03444444 as a fraction

x = 0.0344444100x = 3.444441000x = 34.444
900x = 31x = 31/900

JR
Answered by Joseph R. Maths tutor
2977 Views

Use factorisation to simplify the following expression (x^2-9)/(x^2-4x+3)

we simplify the top and bottom of the fraction separately. x^2-9 factorises to (x+3)(x-3) using the difference of two squares.x^2-4x+3 factorises to (x-1)(x-3). So the above formula simplifies to (x+3)/(x...

JL
Answered by Jack L. Maths tutor
4747 Views

A baseball player strikes a ball with an initial velocity of 43ms^-1 at an angle of 32° to the horizontal. How far does the ball travel horizontally in 4 seconds?

Since the Initial velocity has a direction that is 32° to the horizontal we can split the velocity into it's components. The horizontal component of the velocity is vx = 43cos(32) (m/s). Since ...

JL
Answered by Jack L. Physics tutor
2175 Views

A right-angled triangle has one angle size 60 degrees, and hypotenuse of length 32cm. Calculate the length of the side opposite the 60 degree angle, to 3sf.

Firstly, we want to draw out the triangle. No matter what the question asks, just draw out all the information you're given so that you can see what the question is asking. We've been given a right angle ...

BR
Answered by Benjamin R. Maths tutor
6806 Views

A light bulb is to be put in the middle of a room defined by the coordinates (10,5), (10,25), (20, 5) and (20,25). At what coordinate should the light bulb be placed?

Firstly we should try to establish the geometry of the room, ie identify the lines in which the walls lay.
Noticing that two of the points have the same x coordinate of x = 10 suggests that there mu...

TL
Answered by Taiwo L. Maths tutor
3169 Views

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