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MariettaO [177]
2 years ago
9

A man purchases a plot of land that is 1 4/5 acre.

Mathematics
2 answers:
slamgirl [31]2 years ago
4 0

Answer:2/2/5

Step-by-step explanation:
If 3/4 = 9/5
what about 4/4
You get the answer as 12/5 which is 2/2/5

Hope this helped


fgiga [73]2 years ago
3 0

a whole is always fraction wise "1", whether is 5/5 or 4/4 or 1,000,000/1,000,000 it'd round up to "1", just 1 whole.

we know how much 3/4 of his land is, so the "whole land" will be in quarters, 4/4 or namely "1".

let's firstly convert the mixed fraction to improper fraction and then proceed.

\stackrel{mixed}{1\frac{4}{5}}\implies \cfrac{1\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{9}{5}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} acres&whole\\ \cline{1-2} \frac{9}{5}&\frac{3}{4}\\[1em] x&\frac{4}{4} \end{array}\implies \cfrac{~~\frac{9}{5} ~~}{x}=\cfrac{~~ \frac{3}{4}~~}{\frac{4}{4}}\implies \cfrac{~~\frac{9}{5} ~~}{\frac{x}{1}}=\cfrac{~~ \frac{3}{4}~~}{1}\implies \cfrac{9}{5}\cdot \cfrac{1}{x}=\cfrac{3}{4}

\cfrac{9}{5x}=\cfrac{3}{4}\implies 36=15x\implies \cfrac{36}{15}=x\implies \cfrac{12}{5}=x\implies 2\frac{2}{5}=x

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Step-by-step explanation:

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This figure is made up of a rectangle and parallelogram.
ivann1987 [24]

The area of the figure is 40 units. (rounded off from 39.998 units)

Step-by-step explanation:

1. Area of the figure = Area of Rectangle + Area of Parallelogram.

2. Naming points:

Let the rectangle consist of points A(-6,-1), B(-5,-5), C(3,-3) and D(2,1).

Let the parallelogram consist of points C(3,-3), D(2,1), E(2,7) and F(3,3).

3. Each coordinate has a point on the x-axis and a point on the y-axis. We shall refer to these points as x', x'' ,x''' and so on corresponding to the x-axis values of A, B, C and so on in that order till F. For the y-axis points, we will name them in the series of y', y'', y''' and so on.

In simple words, in A(-6,1), x' = -6; y' = -1

4. Formula for finding area:

Area of a rectangle = length (l) × width (w)

Area of a parallelogram = base (b) x height (h)

5. Finding area of the rectangle:

l = AD = \sqrt{[x'''' - x']^{2} - [y'''' - y']^{2}}

, i.e. AD = \sqrt{[2 - (-6)]^{2} - [1 - (-1)]^{2}}

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Now, w = AB = \sqrt{[x'' - x']^{2} - [y'' - y']^{2}}

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Area of rectangle = l x w = 8.246 x 4.123 = 33.998 units.

6. Finding area of the parallelogram:

b = DE = 6 units (we can observe this from the graph, i.e. points from 1 to 7 on the y axis)

h = Height is the line drawn perpendicular to the base from point F, which as we can see is 1 unit long.

Hence, Area of parallelogram = b x h = 6 x 1 = 6 units.

7. Now, adding both, we can arrive at the final answer.

Area of the figure = Area of rectangle + Area of parallelogram,

i.e. 33.998 units + 6 units = 39.998 units. (can be rounded off to 40 units)

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mr Goodwill [35]
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24=10x
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