Maths formulas

Area of a trapezium (a and b are parallel lengths)

½ (a+b)h

Volume of cuboid

l x w x h

Volume of a prism

Area of cross section x length

Volume of a cylinder

$$\pi r^{^2}h$$

Volume of a pyramid

1/3 x area of base x height

Circles

Circumference = $\pi d$

Area = $\pi r^2$

Compound measures

Speed = distance/time, Density = mass/volume, Pressure = force/area

Pythagoras

a squared + b squared = c squared

Quadratic formula when ax squared + bx + c = 0, when a is not 0

$$x=\frac{-b+-\sqrt{b^2-4ac}}{2a}$$

Sine rule

$$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$$

$$a^2=b^2+c^2-2bc\cos A$$

Cosine rule

$$\frac12ab\sin C$$

Area of triangle big C is opposite to little c, ect.

$$\sin A=\frac{a}{c}\cos A=\frac{b}{c}\tan A=\frac{a}{b}$$

Right angled triangle where a, b and c and lengths of right angled trainable and c is hypotenuse

Total accrued$=P\left(1+\frac{r}{100}\right)^{n}$

P = principal amount, r = interest rate over a given period, n = number of times the interest in compounded

Probability outcome of A and B

$$P\left(A\lor B\right)=P\left(A\right)+P\left(B\right)-P\left(A\land B\right)$$

$$P\left(A\land B\right)=P\left(AgivenB\right)P\left(B\right)$$