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ivolga24 [154]
3 years ago
6

Frank wants to build a garden with the dimensions below.

Mathematics
2 answers:
dexar [7]3 years ago
7 0
Given:
Length = x + x + 3 = 2x + 3
Width = 2 + x 

Area = length * width 
91 ft² = (2x + 3) (2+x)
91 = 4x + 2x² + 6 + 3x
0 = 2x² + 7x + 6 - 91
0 = 2x² + 7x - 85

(2x + 17) ( x - 5)

x = -17/2 or  x = 5

Let x = 5 ; 

length = 2x + 3 = 2(5) + 3 = 13
width = 2 + x = 2 + 5 = 7

 Area = 13 x 7 = 91

Perimeter = 2(length + width)
Perimeter = 2(13 + 7)
Perimeter = 2(20)
Perimeter = 20 feet of fencing
lozanna [386]3 years ago
7 0

Answer:

The length is 13 and the width is 7, but the length of fencing, is 40, because there are 4 sides.  Two thirteens = 26 + Two sevens = 14

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8 0
3 years ago
Micah places a mirror on the ground 24 feet from the base of a tree. He walks
irina [24]

The height of tree is 8 feet

<h3><u>Solution:</u></h3>

Given, Micah places a mirror on the ground 24 feet from the base of a tree

At that point, Micah's eyes are 6 feet above the ground  

And he is 9 feet from the image in the mirror.  

To find : height of tree = ?

Let "n" be the height of tree

From the question, we can see there is a directly proportional relationship between heights and distances.

Proportional relationships are relationships between two variables where their ratios are equivalent.

\frac{\text { height of micah eyes above ground }}{\text { distance of micah from mirror }}=\frac{\text { height of tree above the ground }}{\text { distance of tree from mirror }}

\begin{array}{l}{\frac{6 \text { feet }}{9 \text { feet }}=\frac{n \text { feet }}{24 \text { feet }}} \\\\ {\frac{6}{9}=\frac{n}{24}} \\\\ {\text { n }=\frac{1}{3} \times 24} \\\\ {\text { n }=8}\end{array}

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6 0
3 years ago
HELP!! Question in picture!
Charra [1.4K]

Answer:

factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

common factors of both:

1, 2, 3, 4, 6, and 12

Please mark me brainliest, so that I get encouraged to make more great answers like this!

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Answer:

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8 0
3 years ago
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