It is best to draw the situation given above to understand the problem better. You will see that there are two right triangles that can be made. One would have the angle 67 degrees and the other with angle 35 degrees. We calculation as follows:
From the triangles, we can set up two equations with two unknowns:
tan 67 = h/x
tan 35 = h/(20+x)
h = 19.93 ft
As no diagrams attached provided the formulas which can helps you to solve by yourself
- Square--4(side)
- Rectangle--2(Length+Breadth)
- Triangle--(Sum of 3 sides)
- Any quadrilateral--(sum of 4 sides)
We can assume the x value is time, and the y-value is fish population.
The best answer is the third option, a line going through 0,5 and 7,5. We don't know if Molly arrived at the dorm with fish, but we know that during the 8 months, her fish population stayed the same at 5 fish.
The first option features a y value of 8, so we know that's wrong. She never had more than 5 fish.
The second option is wrong for the same reason (y values of 6 and 9)
The fourth option in wrong because the fish population did not fall to 2 after 7 months.
x = # of weeks
y = total amount of money
Your savings account: $122 + $12x = y
Your friend's savings account: $92 + $17x = y
As the question suggests, we need to set both equations equal to each other.
$122 + $12x = $92 + $17x
Subtract $92 from both sides and subtract $12x from both sides.
$30 = $5x
Divide both sides by $5
6 = x
It will take 6 weeks for you and your friend to have the same balance.
