The equation would be 4y=5x 4(x+15)=5x x+15=y
let x be the amount that Shelia deposits each time
let y represent the amount that Sherri deposits each time
4(x+15)=5x
4x+60=5x
-4x -4x
60=x
Check:
x+15=y 60+15=y y=75
4(75)=5(60)
300=300
Shelia deposits $60 each time.
Pythagorean theorem is

and using that sin is opposite/hypotenuse, you can find the third side of the triangle.

now you know adjacent is 60, so cos=60/61
. Multiplying the denominator by
gives

Subtracting this from the numerator gives a remainder of

. Multiplying the denominator by
gives

and subtracting this from the previous remainder gives a new remainder of

This last remainder is exactly the same as the denominator, so
divides through it exactly and leaves us with 1.
What we showed here is that



and this last expression is the quotient.
To verify this solution, we can simply multiply this by the original denominator:



which matches the original numerator.
Answer:
Runner-up: $15,000
Winner: $75,000
Step-by-step explanation:
Let's create an equation for this problem.
Let x=the amount the runner-up receives
Let 5x=the amount the winner receives
Then,
x+5x=90,000
6x=90,000
x=15,000
5x=75,000
When it comes to graphing, Desmos is a lifesaver!
I believe its B