Mathematics, 21.05.2020 06:00 yani2568

5 STAR AND BRAINLIEST IF YOU ANSWER AND SHOW WORK

A rectangular fish tank has dimensions of 60 by 15 by 34 cm:

1. If it was completley empty and the order to fill it up was to turn on a faucet that realses water at 300ml/min. how many minutes does it take to fill up the tank

2. How much glass is needed to build this tank? There is no lid

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Answer from: kennrecklezz

1. 102 minutes

2. 5100 cm²

Step-by-step explanation:

So the volume of this fish tank is 30600 cm³ following the formula for the volume a rectangular prism (V = l×w×h) → (60×15×34)

1 cm³ = 1 mL

With this conversion we then have the fish tank being 30600 mL

Since the water faucet release water at 300mL/min and we have 30600 mL, we would need to divide the volume by the rate at which the tank can be filled in order to find out how long it will take.

$\frac{30600}{300}$ = 102 minutes

Now to figure out how much glass we will need, we have to find the area of the four panes of glass that make up a fish tank; the one in front, the one in the back, and the two on the sides.

In the image attached, I drew out what the fish tank would look like along with the labelled dimensions.

First we can find the area of either the front or back pane of glass, they will both be the same area.

The area of a rectangle is A = b×hIn this case, our base is 60 and our height is 34Plugging this into the formula we get A = (60)(34) = 2040 cm²**Now we need to remember to add this twice at the end since there are two panes of glass with these dimensions**

Now for the side panes of glass we only need to find the area once since they will both have the same area

These panes are also rectangles so they have the same area formula of A = b×hIn this case, our base is 15 and our height is 34Plugging these numbers into our formula we get A = (15)(34) = 510 cm²**Now we need to remember to add this twice at the end since there are two panes of glass with these dimensions**

We can now add up all the dimensions we calculated to figure out how much glass we will need to make the tank:

2040 cm² + 2040 cm² + 510 cm² + 510 cm² = 5100 cm² of glass

5 STAR AND BRAINLIEST IF YOU ANSWER AND SHOW WORK A rectangular fish tank has dimensions of 60 by 15

Answer from: Quest

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like, however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

$\bf e(\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad f(\stackrel{x_2}{0}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-2}{)}\implies \implies \cfrac{-2}{0+2}\implies \cfrac{-2}{2}\implies -1 \\\\[-0.35em] ~\dotfill$

$\bf d(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-1})\qquad f(\stackrel{x_2}{0}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{)}{)}\implies \cfrac{0+1}{0+2}\implies \cfrac{1}{2} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope~of~ef}{-1\implies \cfrac{-1}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{-1}}\qquad \stackrel{negative~reciprocal}{+\cfrac{1}{1}\implies 1}}$

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

Answer from: Quest

answer: the answer is d

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