Find the smallest square number that is divisible by each of the numbers 7 14 and 18

42² = 1764

Step-by-step explanation:

7 = 7¹

14 = 2ₓ7

18 = 2ₓ3²

lcm = 7ₓ2ₓ3²

to find the smallest square number

(7ₓ2ₓ3²)ₓ7ₓ2 =

= (7ₓ2ₓ3)²

= 42²

= 1764

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).