Which numbers are positive rational numbers? select all that apply.
a. 0.01
b. 5/12
c. 0
d. 4/3
e. 0/7
f. 9

All numbers are positive rational number.

0.01, 5/12, 0, 4/3, 0/7 and 9

Step-by-step explanation:

Positive rational number :

Every positive number is rational number.

If the numerator and denominator are positive and negative integers it is called rational number.

(A). 0.01

This is the decimal number.

It can be written

Here, Numerator and denominator are positive

This is the rational number.

(B). 5/12

Here, Numerator and denominator are positive

This is the rational number.

(C). 0

It is the special rational number.

(D). 4/3

Here, Numerator and denominator are positive

This is the rational number.

(E). 0/7

It can be written in p/q where, q ≠0

It is a rational number.

(F). 9

It is a positive integer

It is a rational number.

Hence, This is the required solution.

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).

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