Perform the following tasks:
simplify the ratio 4 : 22 : 30
complete the pattern: {486, 162, 54, 18, }

1. Simplify the ratio 4 : 22 : 30

Dividing by 2;

2 : 11 : 15

2. Complete the pattern: {486, 162, 54, 18, ___}

We can solve this easily by starting from 18.

First lets check the relation between 18 and 54. Its

We have found a relation between the two numbers. Lets check if this works for another numbers.

So, we can say that the series is decreasing by 3 times.

So, the missing number will be : 6

{486, 162, 54, 18, 6}

pls ask

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).