Let U = { 1, 2, 3, 4, 5, 25 } , A = { x: x is divisible by 2 and 3 } and C = {x: x is a factor of 24 }, then n(A ∩ B) =

Step-by-step explanation:

A= { x : 6 12 18 24 30 36 42 48 54 60 66}

B = { x : 1 2 3 4 6 8 12 24}

Anb = { 6 12 24}

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length

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).