When fifteen is reduced by one-third of a number, the result is 12. find the number

The number is 9.

Solution:

Let the number be x.

In the question it is given that when 15 is reduced from one-third of a number the result is 12. Since we have assumed the number to be x, therefore one - third of a number is given by  1/3x.

Using the below equation we will try to find the value of x.

Grouping the terms,

Therefore,

x=9

Thus, the number is 9.

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).