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BARSIC [14]
3 years ago
8

70 POINTS QUESTION ATTACHED (actually attached this time lol)

Mathematics
2 answers:
hram777 [196]3 years ago
8 0

Answer:

sqrt1/25 sqrth^^2

1/5 h

Step-by-step explanation:

omeli [17]3 years ago
6 0

Answer:

(1/5 h)^2

Step-by-step explanation:

1/25 h^2

To make this a perfect square we need to take the square root and then square it

(sqrt(1/25 h^2))^2

we know that sqrt(ab) = sqrt(a) sqrt(b)

(sqrt(1/25) sqrt(h^2))^2

(1/5 h)^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
What times itself 3 times equals 54
sattari [20]
Let the number be x.

x*x*x  = 54

x³  = 54        Taking cube roots

x = ∛54 

x ≈ 3.780
3 0
3 years ago
a land mass is roughly in the shape of a rectangle whose perimeter is 130 miles. the width is 130 miles less than the length. fi
Mkey [24]
123456778890t7uyfgddxz
7 0
3 years ago
Tucker drove at a speed of 45 miles per hour. How many feet per hour was Tucker traveling?
Elena-2011 [213]

Answer:

237600 feet per hour

Step-by-step explanation:

there are 5280 feet in a mile

if he is going 45mph you multiply 45 by 5280

45 x 5280 = 237600

7 0
3 years ago
Can anyone solve this please , I suck at geometry
AnnZ [28]

Answer:

<em>(b). 27</em>

Step-by-step explanation:

The sum of exterior angles of any polygon is 360°

2x° +56° + 4x° + 57° + 85° = 360°

6x° + 198° = 360°

6x° = 360° - 198°

6x° = 162°

<em>x = 27</em>

7 0
3 years ago
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