Acircle has an area of 20. what's the radius?

  2√(5/π) ≈ 2.523

Step-by-step explanation:

The radius can be found using the area formula:

  A = πr²

  20 = πr² . . . . . fill in the given value

  20/π = r² . . . . . divide by π

  √(20/π) = r = 2√(5/π) . . . take the square root and simplify

You can use your calculator to find a numerical value for this:

  r = 2√(5/π) ≈ 2.52313

Comment on the form of the answer

Radicals are often considered to be in simplest form when they do not contain fractions or square factors. Here, the "simpler" form would be ...

  r = (2/π)√(5π)

involving the irrational number π in two calculations. My preference for evaluating the expression for r is to leave it as √(20/π) or 2√(5/π).

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24

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).