HELP!!! Carbon dating is used to determine the age of fossils. A fossil was found with 75% of the original carbon-14. The half-life of carbon-14 is 5,730 years. The equation that models the situation is 0.75=(0.5)x5,730.
How old is the fossil?
Choose the answer that gives the correct logarithmic equation and answer.

A. x≈2,865
B. x≈13,805
C. x≈11,460
D. x≈2,378

a - base

b - exponent

so,

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).