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Arlecino [84]
3 years ago
12

There are 28 grape vines in each of the 52 rows of a vineyard. There are 24 rows of green grapes. All other rows are red grapes.

How many red grape vines are in the orchard?
Mathematics
1 answer:
Bumek [7]3 years ago
3 0

Answer:

784 red grape vines

Step-by-step explanation:

There are 28 grape vines in each of the 52 rows of a vineyard. There are 24 rows of green grapes. All other rows are red grapes. How many red grape vines are in the orchard?

In a vineyard

We have 52 rows

24 rows = Green grapes

The number of red grape rows =

52 rows - 24 rows

= 28 rows.

We are told are told: There are 28 grape vines in each of the 52 rows of a vineyard.

This means

1 row = 28 grape vines

Hence, the number of red grape vines that are in the orchard

1 row = 28 grape vines

28 rows = x grape vines

x = 28 × 28 grape vines

x = 784 red grape vines

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alexdok [17]

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52.9 inches .

Step-by-step explanation:

Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.

As we know that the area of triangle is ,

\rm\longrightarrow Area_{\triangle}=\dfrac{1}{2}(base)(height)

Substituting the respective values,

\rm\longrightarrow 100\ =\dfrac{1}{2}(x+3)(3x)\\\\\rm\longrightarrow 2(100) = 3x(x+3)\\\\\rm\longrightarrow200 = 3x^2+9x\\\\\rm\longrightarrow 3x^2+9x-200=0

On using the <u>Quadratic</u><u> formula</u> , we have;

\rm\longrightarrow x =\dfrac{-9\pm\sqrt{9^2-4(3)(-200)}}{2(3)} \\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{81+1200}}{6}\\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{1281}}{6}

On simplifying above , we will get ,

\rm\longrightarrow x = 6.802,-9.802

Since sides can't be negative, therefore,

\rm\longrightarrow\underline{\underline{ x =6.802}}

Therefore ,

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Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;

\rm\longrightarrow h=\sqrt{ b^2+p^2}\\

\rm\longrightarrow h =\sqrt{ (20.406)^2+(9.802)^2}\\

\rm\longrightarrow h =\sqrt{416.40+96.07}\\

\rm\longrightarrow h = 22.63\ in

Now we may find perimeter as ,

\rm\longrightarrow P = p + b + h \\

\rm\longrightarrow P = (22.63 + 9.802 + 20.406)in.

\\\rm\longrightarrow P = 52.89 \ in.\\

\rm\longrightarrow \underline{\underline{ Perimeter = 52.9\ in .}}

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Answer:

The answer is 0.5, or 1/2.

3/12 ÷ 6/12 = 1/2

Hope this helps!


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