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Maths
GCSE

A right-angled triangle has an angle of 30 degrees and its hypotenuse has a length of 9cm. Find the length of either of the triangle's other two sides.

Please note that this solution is easier to explain with 2 diagrams 

The side opposite of the 30 degree angle: 

If we have the hypotenuse and require the length of the opposite side then we ...

Answered by Ciaran B. Maths tutor
4066 Views

Solve algebraically: 6a+b = 16 and 5a - 2b = 19

6a + b = 16 (1)

5a - 2b = 19 (2)

(1) x 2: 12a + 2b =32

(1) + (2): 12a + 2b + 5a - 2b = 32 + 19 = 51

17a = 51

a = 51 / 17 = 3

Substitue a = 3 back into (1): (6 x 3...

Answered by Niva R. Maths tutor
2718 Views

Solve 0=X^2 +5x +4

0= (x + 4)(x + 1)

x= - 4

x= - 1

Answered by Rebecca W. Maths tutor
2528 Views

Show that (4x – 5)^2 – 5x(3x – 8) is positive for all values of x

(4x-5)^2-5x(3x-8)

(16x^2-40x+25)-(15x^2-40x)

16x^2-15x^2-40x+40x+25

x^2+25

if x = positive, x^2 will be positive.

if x = negative, x^2 will be positive.

x^2 is po...

Answered by Joseph M. Maths tutor
3270 Views

((2x + 3)/(x-4)) - ((2x-8)/(2x+1)) = 1

x=0.81

Answered by Amelia S. Maths tutor
2507 Views

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