Write the first five terms of the arithmetic sequence whose first term is 5 and whose common difference is 6.

5, 11,17,23,29

Step-by-step explanation:

To obtain the term in the sequence add the common difference to the previous term, that is

a(1) = 5

a(2) = 5 + 6 = 11

a(3) = 11 + 6 = 17

a(4) = 17 + 6 = 23

a(5) = 23 + 6 = 29

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).