Answer:
7:6 and 49:36
Step-by-step explanation:
Answer:$4,502.04
Step-by-step explanation:
This is assuming your interest is compounded annually.
can be easily calculated by providing inputs on below link.
https://www.investor.gov/additional-resources/free-financial-planning-tools/compound-interest-calculator
Consider the cross-sectional right triangle shown in the figure.
One of its sides is the height of the pyramid, with length H. The other side is half of the square base, so its length is 81 m. The hypotenuse of this triangle is the height of one of the faces.
By right triangle trigonometry,

,
thus,

.
Answer: C) 52 m
Answer:
168 minutes
Step-by-step explanation:
It takes 120 minutes for the first person to clean the jellyfish tank.
This means that in 1 minute the first person cleans
of the tank.
Let the time taken by the second person working alone to clean the tank be x minutes.
Then in 1 minute the second person cleans
of the tank.
Working together, the two persons clean,
of the tank
But it is given that the two persons working together can clean the tank in 70 minutes. This means that in 1 minute both of them can clean
of the tank.
Expressing in equation form:
![\[\frac{1}{120} + \frac{1}{x} = \frac{1}{70}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B120%7D%20%2B%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B70%7D%5C%5D%20)
![\[=> \frac{1}{x} = \frac{1}{70} - \frac{1}{120} \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B70%7D%20-%20%5Cfrac%7B1%7D%7B120%7D%20%5C%5D%20)
![\[=> \frac{1}{x} = \frac{12-7}{840} \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B12-7%7D%7B840%7D%20%5C%5D%20)
![\[=> \frac{1}{x} = \frac{5}{840} \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B5%7D%7B840%7D%20%5C%5D%20)
![\[=> \frac{1}{x} = \frac{1}{168} \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B168%7D%20%5C%5D%20)
![\[=> x = 168 \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20x%20%3D%20168%20%5C%5D%20)
This means that the second person can clean the tank in 168 minutes.
the shorter piece is 8 feet long
the longer piece is 19 feet long
HOPE THIS HELPS!!!