Answer:
; 
Step-by-step explanation:
You can write two expressions that are in terms of 'x' and 'y'. This is a right triangle, so Pythagorean's theorem can be used. We can also use the angle to find the sine of 30 degrees.
<u>Pythagorean's Theorem:</u>
The values 'a' and 'b' are the two shorter sides of the triangle, while the value 'c' is the longest side of the triangle; the hypotenuse.



<u>Sine of the Angle:</u>
Sine is defined to be the opposite side divided by the hypotenuse. Let's take the sine of 30 degrees:




Plug this value of 'y' into the first expression derived from Pythagorean's theorem:






Use this value of 'x' to solve for 'y' in the expression from Pythagorean's theorem:






Step-by-step explanation:
the answer and problem shown in the picture above
20 ccccccccccccccccccccccccccccccc
Maria = x
Tom = y
Use substitution
x+y=30
2y=x
2y+y=30
3y=30
y=10
Tom is 10 years old.
x+y=30
x+10=30
x=20
Maria is 20 years old.
Answer:
if the terms are approaching zero then it is convergent.
Therefore the stated series is convergent
Step-by-step explanation: