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LenaWriter [7]
3 years ago
10

Use properties to find the sum of product 8×51gb

Mathematics
1 answer:
Eddi Din [679]3 years ago
5 0

8(51) = 8(50 + 1) = 8(50) + 8(1) = 400 + 8 = 408

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. If n(A)=2 n(B)=3 n(AՈB) =24, what is the value of n(AUB)?​
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Step-by-step explanation:

The answer is is the picture..

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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
NEED ANSWERS ASAP
Ray Of Light [21]
If it's most likely A. or B.

Correct me if I'm wrong.

But, I hope this helps!
5 0
3 years ago
Read 2 more answers
Decimal Operati<br> 1. Find the sum of the expression.<br> 0.975 + 3.8
BlackZzzverrR [31]

Answer:

4.775

Step-by-step explanation:

3 0
3 years ago
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