The section of the boardwalk shown is made using boards that are each 9 1/4 inches wide. the spacing between each board is equal. what is the width of the spacing between each board?

.375 or 3/8

Step-by-step explanation:

Make 9 1/4 into an improper fraction that is 37/4

37/4 × 15 = 555/4

554/4= 138.5

144-138.5= 5.5

5.50/14 = .375

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).