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krek1111 [17]
3 years ago
7

Common factor for 32 and 30

Mathematics
1 answer:
Keith_Richards [23]3 years ago
4 0
Common Factor for 32 and 30 would be 1 and 2. Greatest common factor is 2.
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3. The backyard of a home is a rectangle 25m by 30m. A garden of uniform width is to be
KiRa [710]

Answer:

Part A

The width of the garden is approximately 3.987 meters

Part B

Please find attached the drawing of the solution

Step-by-step explanation:

Part A

The given parameters are;

The dimensions of the backyard of the home = 25 m by 30 m

The width of the garden to be built in the yard = Uniform width

The shape of the grass left inside = Rectangular

The area of the grass at the center = The area of the garden

Let 'x' represent the width of the garden, we have;

The length of the rectangular grass area at the center, l = 30 - 2·x

The width of the rectangular area of grass at the center, w = 25 - 2·x

The area of the rectangular backyard, A = 30 m × 25 m = 750 m²

The area of the rectangular backyard, A = (The area of the garden) + (The area of the rectangle of grass inside)

The area of the rectangle of grass, GA = (30 - 2·x)·(25 - 2·x) = The area of the garden

The area of the rectangular backyard, A = 750 = (30 - 2·x)·(25 - 2·x) + (30 - 2·x)·(25 - 2·x)  = 2 × (30 - 2·x)·(25 - 2·x) = 8·x² - 220·x + 1,500

∴ 750 = 8·x² - 220·x + 1,500

8·x² - 220·x + 1,500 - 750 = 0

8·x² - 220·x + 750 = 0

x = (220 ± √(220² - 4 × 8 × 750))/(2 × 8)

x ≈ 23.513, or x = 3.987

When x = 25.513, the width of the rectangle of grass inside, w = 25 - 2 × 23.513 = -22.026, which is not a natural (physically possible)

Therefore, the possible width of the garden, x ≈ 3.987

Part B

The drawing of the solution created with MS Visio is attached

6 0
2 years ago
-3x^2-5x+9=0 what is the value for a,b,and c
Tju [1.3M]

Answer:

a = -3  b = -5  c = 9

Step-by-step explanation:

A quadratic function is written in the form

ax^2 +bx +c =0

-3x^2-5x+9=0

a = -3  b = -5  c = 9

3 0
3 years ago
As an estimation we are told 5 miles is 8 km.
melamori03 [73]

Answer:

Step-by-step explanation:

52.5 mi(8 km/5mi) = 84 km

3 0
3 years ago
Determine the missing factor
kogti [31]

Answer:

2x-1

Step-by-step explanation:

Just solve this way.

(2/3)x-(1/3)=(1/3)y.

Now find y in terms of x.

8 0
2 years ago
First answer gets brainliest. And one hundo points
enyata [817]

Answer:The one you already have marked,B.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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