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Maths
GCSE

What is the area of triangle ABC where AB = 5 cm, BC = 12 cm and angle ABC = 50 degrees?

To find the area of a triangle where the length of the base and perpendicular heights are not known, use the sine rule to find the area. This is: Area = 0.5 x a x b x sin(angle between lengths a and b) He...

AS
Answered by Aminah S. Maths tutor
9039 Views

5, 11, 21, 35, 53, ... Find the nth term of this sequence.

By calculating the difference between each of the progressions, we see that the first difference is 6, the next is 10, then 14 and finally 18. It is easy to observe that the jump increases by 4 each time,...

MG
Answered by Majed G. Maths tutor
29696 Views

How do I solve this linear equation? Angles A and B are in a quadrilateral are in ratio 2:3, angle C is 30 degrees more than angle B and angle D is 90 degrees.

Firstly I would draw a diagram of a quadrilateral and label my angles, starting clockwise A,B C and D. Remember that all angles in a quadrilateral add up to 360 degrees. You must use linear equations to s...

TD
Answered by Tutor49006 D. Maths tutor
4090 Views

f(x) = x^2 + 4x − 6 f(x) can be written in the form (x + m)^2 + n. Find the value of m and the value of n.

Because we know (x+m)^2 expanded will provide x^2+2mx+m^2 and we have the extra addition of a value named n we can strictly focus on ensuring the expansion yields x^2+4x and deal with the -6 value by usin...

MG
Answered by Majed G. Maths tutor
10094 Views

A teacher is chosen at random. The probability that the teacher is female is 3/5. There are 36 male teachers. How many teachers in total work at the school?

Info given = probability that the teacher is female = 3/5 36 male Teachers

Workings: If 3/5 are female then 2/5 are male. 2/5 = 36 males 36 divided by 2 = 18 so get the one portion. to find out how...

SS
Answered by Sophie-Mae S. Maths tutor
13307 Views

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