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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...

Answered by Taiwo L. • Maths tutor

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Find the median, upper and lower quartiles of these numbers: 160, 390, 169, 175, 125, 420, 171, 250, 210, 258, 186, 243

Order the data:125, 160, 169, 171, 175, 186, 210, 243, 250, 258, 390, 420Find middle observation:[125, 160, 169, 171, 175, 186] | [210, 243, 250, 258, 390, 420]Median = (186 + 210)/2 = 198Find middle obse...

Answered by Samuel L. • Maths tutor

3266 Views

Shape S is one quarter of a solid sphere. The volume of S is 576(pi)cm(^3). Find the surface area of S correct to 3 significant figures

Radius is the only property of a sphere that is used to define surface areas and volumes. We need to find what the radius is from the information that the question has given us.
S i...

Answered by Joe W. • Maths tutor

11366 Views

Factorise X^2 + 13x + 42; from this, please give the answer to X^2 + 13x + 42 = 0

This question aims to look at quadratic equations. We factorise Quadratic equations into two sets of bracketsFirst, we are dealing with X². X² is formed from X multipled by X, so eac...

Answered by Khalid A. • Maths tutor

3889 Views

If a rectangle has sides (x+3) and (2x-1) and an area of 15, find x and the length of each side.

To find x, we need to create an expression from the information given. We know the area is 15 and that the area is equal to the length multiplied by the width. This gives us:(x+3)(2x-1) = 15Then we can ex...

Answered by Jasmin L. • Maths tutor

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