A trader bought some paraffin for $500. He paid $x for each litre of paraffin. (a) Find, in term of x, an expression for the number of litres he bought.
(b) Due to a leak, he lost 3 litres of paraffin. He sold the remainder of the paraffin for $1 per litre more than he paid for it.
Write down an expression, in term of x, for the sum of money he received.
(c) He made a profit of $20.
(i) Write down an equation in x to represent this information, and show that it reduces to 3x²+ 23x – 500 = 0.
(ii) Solve the equation 3x² + 23x – 500 = 0, giving both answers correct to one decimal place.
(d)Find, correct to the nearest whole number, the number of litres of paraffin he sold.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

roots are from trees

step-by-step explanation: