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Sunny_sXe [5.5K]
3 years ago
10

a gardener is putting a wire fence along the edge of his garden to keep animals from eating his plants. if he has 20meters of fe

nce, what is the largest rectangular space he can enclose
Mathematics
1 answer:
Alexeev081 [22]3 years ago
7 0

Answer:

The largest rectangular space is 24m^{2}

Step-by-step explanation:

Given a 20m long wire fence, implies that the perimeter of the fence has been given, because Perimeter can be defined as the length of the boundary of a figure (in this case, a rectangle)

So, from the formula: Perimeter = 2 (L + B) = 20m^{2}

We have that L + B = 10m^{2}

The possible values of L and B are:

(L, B) = (9, 1), (8, 2), (7, 3) and (6, 4).

The areas of the rectangle that will be formed using these values are respectively; 9m^{2}, 16m^{2}, 21m^{2} and 24m^{2}, the largest area of which is the last which corresponds to the values (6, 4).

The largest rectangular space that the gardener can enclose is therefore 24m^{2}

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Will mark as brainlist
lara [203]

Step-by-step explanation:

Tn=ar^(n-1)

r=-10/-5=2

a=-5

Tn=-5×(2)^(n-1)

Tn=-5•(2)^(n-1)

an=5•(2)^(n-1)

7 0
2 years ago
The sum of 4 consecutive integers is 406. find the integers
BabaBlast [244]

Answer and Step-by-step explanation:

When trying to figure this out, we know that the numbers have to be one after the other, like 1, 2, 3, 4, or 55. 56, 57, 58. The last digit in the numbers also have to add to 6.

<u>The answer is:</u>

100 + 101 + 102 + 103

It adds up to 406, and the integers are consecutive.

<u><em>#teamtrees #PAW (Plant And Water)</em></u>

<u><em></em></u>

<u><em>I hope this helps!</em></u>

8 0
2 years ago
Read 2 more answers
16x - 5y = -33<br> 16x + y = -51
timofeeve [1]
Use the elimination process
6 0
3 years ago
Read 2 more answers
1. A-Tunes requires a membership fee of $12 a month and $1 for each download.
matrenka [14]
<h3>Answer:</h3>

After 16 downloads the charges will equal each other.

<h3>Step-by-step explanation:</h3>

First set up an equation

x = Downloads

12 + 1x = 5 + 1.5x

Solve

12 + 1x = 5 + 1.5x <- Rewrite your equation

-5          -5            <- Subtract 5 from both sides

 8 + 1x = 1.5x       <- Simplify

      -1x    -1x         <- Subtract 1 from both sides

        8 = 0.5x      <- Simplify

        8 = 1/2x       <- Convert 0.5 to a fraction to make the next step easier

       16 = x            <- Multiply both sides by 2 to divide by

                                 a fraction

4 0
3 years ago
After a bride has interviewed 7 DJs to play at her wedding, her fiance tells her she needs to narrow it down to 4 DJs. In how ma
Alex17521 [72]

Answer:

840

Step-by-step explanation:

Given

DJs = 7

To\ pick = 4

Required

Determine the number of rankings

The term "ranking" as used in this question implies permutation and the required is calculated using:

^nP_r = \frac{n!}{(n-r)!}

Where

n = 7

r = 4

So:

^nP_r = \frac{n!}{(n-r)!}

^7P_4 = \frac{7!}{(7-4)!}

^7P_4 = \frac{7!}{3!}

^7P_4 = \frac{7 * 6 * 5 * 4 * 3!}{3!}

^7P_4 = 7 * 6 * 5 * 4

^7P_4 = 840

<em>Hence, number of ranking is 840</em>

7 0
3 years ago
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