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Margarita [4]
3 years ago
5

A rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet. describe the possible lengths o

f the garden. round your answers to the nearest foot.
Mathematics
2 answers:
blagie [28]3 years ago
5 0
The possible lengths of the garden would be all of the common factors of 1200.
1 , 1200
2 , 600
3 , 400
4 , 300
5 , 240
6 , 200
7 , 171.43
8 , 150
9 ,  133.33
10 . 120
11 . 109.09
12. 100
13. 92.31
14. 85.71
15. 80
16. 75
17. 70.59
18. 66.67
19. 63.15
20. 60
And so on. (all of the above are in pairs)
bagirrra123 [75]3 years ago
5 0

Answer:

L=23.1ft,  L=51.86ft

Step-by-step explanation:

A rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet. describe the possible lengths of the garden. round your answers to the nearest foot.

In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are 90 degrees

A rectangle is a four sided parallelogram. two sides are equal.

perimeter of a rectangle is the sum of the sides.

perimeter of a rectangle is given by=2(L+B)

P=L*W

area of a rectangle=L*B

L*B=1200........................................equation 1

2(L+B)=150........................................2

from 1

B=1200/L

substituting B into equation 2

2(L+1200/L)=150

L+1200/L=75

L^2+1200=75L

L^2-75L+1200=0

L=23.1,  L=51.86

These are the possible lengths of the rectangular garden

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nancy started the year with $425 in the bank and is saving $25 a week. Seamus started the year with $875 and is spending $15 a w
Goryan [66]

They will have same amount in 45 weeks.

Step-by-step explanation:

Given,

Starting amount of Nancy = $425

Per week saving = $25

Let,

x represent the number of weeks.

N(x) = 25x+425

Starting amount of Seamus = $875

Per week saving = $15

S(x) = 15x+875

For same amount;

N(x) = S(x)

25x+425=15x=875\\25x-15x=875-425\\10x=450

Dividing both sides by 10

\frac{10x}{10}=\frac{450}{10}\\x=45

They will have same amount in 45 weeks.

Keywords: function, division

Learn more about functions at:

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3 0
3 years ago
Find the coordinates of the three points on the graph of y = (1/2)x² -2x whose x-values are −2, 0, and 4.
MaRussiya [10]

Answer:

y = 6

y = 0

y = 0

Step-by-step explanation:

y=\frac{1}{2}x² -2x

When, x = -2

y=\frac{1}{2}\times (-2)^2-2\times(-2)\\\Rightarrow y=\frac{1}{2}4+4\\\Rightarrow y=2+4\\\Rightarrow y=6

y = 6

When, x = 0

y=\frac{1}{2}\times (0)^2-2\times(0)\\\Rightarrow y=0+0\\\Rightarrow y=0

y = 0

When, x = 4

y=\frac{1}{2}\times (4)^2-2\times(4)\\\Rightarrow y=\frac{1}{2}16-8\\\Rightarrow y=8-8\\\Rightarrow y=0

y = 0

3 0
3 years ago
F(x)=-2(x-3)(x+5) convert quadratic functions to standard form​
jasenka [17]

Answer:

The answer is: f(x) = -2x^2 - 4x + 30

Step-by-step explanation:

Given:

f(x)=-2(x-3)(x+5)

Solve (x-3)(x+5) first, then multiply by -2:

f(x) = -2[(x - 3)(x + 5)]

f(x) = -2[x^2 -3x + 5x - 15]

f(x) = -2[x^2 + 2x - 15]

f(x) = -2x^2 - 4x + 30

Hope this Helps!! Have an Awesome Day!! (-:

4 0
3 years ago
If M is the midpoint of
Thepotemich [5.8K]

Answer:

A. 10

Step-by-step explanation:

Based on the midsegment theorem, thus:

2x + 7 = ½(7x - 16)

Multiply both sides by 2

2(2x + 7) = 7x - 16

4x + 14 = 7x - 16

Combine like terms

4x - 7x = -14 - 16

-3x = -30

Divide both sides by -3

x = 10

6 0
3 years ago
Find the circumference of the circle if the radius is 4 inches
Kitty [74]

Answer:

25.13

Step-by-step explanation:

C = d(\pi)

d = r(2) in this case 4(2) = 8 = d

so 8(\pi) = C

C ≈ 25.13

3 0
3 years ago
Read 2 more answers
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