Find that 10th term of each arithmetic sequence 1). a4=12 and a7=20.4 2.) a3=37 and a17=-12 3.) a13=-5 and a18=-51 4.) a25=18 and a41=62

1.

 4th term  = a1 + 3d = 12  (where a1 = first term and d = common difference.)

7th term = a1 + 6d = 20.4

subtract  4th from 7th term, we get:-

3d = 8.4

d =  2.8

So 10th term = 7th term + 3(common difference)

= 20.4 + 3(2.8)

= 20.4 + 8.4

= 28.8    (answer)

All the  rest can be answered in  the same way.

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).