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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 ...

Answered by Benjamin R. • Maths tutor

4863 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...

Answered by Taiwo L. • Maths tutor

2415 Views

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

2964 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

10479 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

3608 Views