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Simplify fully the following equation: X^2-2x-15/2x^2-9x-5

We first need to simplify both the numerator and denominator of this fraction seperately. Let's start with the numerator: x^2 -2x -15We need to find two numbers that add to make -2 and multiply to make -15. ...
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Answered by Emilia P. • Maths tutor
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Solve 3x-8=19

3x - 8 = 193x = 19 + 83x = 27x = 27 / 3x = 9
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Answered by Mishelle A. • Maths tutor
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A cylinder has a radius of 4 cm and volume of 800 cm3. A similar cylinder with the same height has a volume of 200 cm3. Find the radius of the smaller cylinder.

Firstly, we have to understand how the radius of the first cylinder was used to calculate its volume. Then we can use that understanding to then use the information we have about the other cylinder to calcul...
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Answered by Mika Erik M. • Maths tutor
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A triangle has sides a,b,c and angles A,B,C with a opposite A etc. If a=4,b=3,A=40, what is the area of the triangle?

First use the sine rule (that a/sin(A)=b/sin(B)=c/sin(C)) to find the value of B. a/sin(A)=b/sin(B) so B=arcsin(b sin(A)/a) which is approximately equal to 28.82. Since the angles of a triangle have 180 degr...
Answered by • Maths tutor
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x is an angle, if 180 > x > 90 and sinx = √2 / 4 what is the value of angle x

sin-1(√2 / 4 ) = 20.7•Looking at a sin graph this is also true at 180-20.7 = 159.3•x = 159.3•
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Answered by Matilda Q. • Maths tutor
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