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The mass of the remaining element = 1.1 grams .

Step-by-step explanation:

Exponential equation of decay: ...(i), where A = intial value , r= rate of decay in decimal , x= time.

As per given :

Initial mass : A= 140 grams

Rate of decay : r= 21.6% per minute= 0.216 per minute.

x= 20  minutes

Substitute values in (i) , we get

Hence, the mass of the remaining element = 1.1 grams .

$15 each

step-by-step explanation:

$45/3 children= $15 each

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).