Holly says 4. is a rational number. which of the following best describes if holly is correct? holly is correct. repeating decimals are always rational numbers. holly is correct. the number is positive and all positive numbers are rational. holly is incorrect. the decimal does not terminate, so it cannot be a rational number. holly is incorrect. the decimal part follows a pattern but does not actually repeat.

A is the correct choice.

 the correct option is

(D) Holly is incorrect. The decimal part follows a pattern but does not actually repeat.

Step-by-step explanation:  Given that

"Holly says 4.131131113... is a rational number. "

We are to select the best statement that describes if Holly is correct.

We know that

A real number will be

(i) rational, if the digits after the decimal either repeat or terminate.

(ii) irrational, if the digits after the decimal neither repeat nor terminate.

In the given number 4.131131113... , the digits after the decimal do not terminate.

Also, the digits after the decimal follow a pattern, but does not repeat.

Therefore, the digits after the decimal neither terminate nor repeat.

Thus, the given number is n irrational one.

Henry is incorrect. The decimal part follows a pattern but does not actually repeat.

Option (D) is CORRECT.

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).