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SashulF [63]
2 years ago
7

Hi, Could anyone help with this please? Many thanks,

Mathematics
2 answers:
igomit [66]2 years ago
7 0

Length: 2.6 meters

Width: 1.8 meters

Area: 4.68 meters

Ipatiy [6.2K]2 years ago
4 0

Length: 2.6 meters

Width: 1.8 meters

Area: 4.68 meters

Since the scale is 1/40, we can multiply the centimeter measurements by 40 thus making it our scale factor.

Length

2.6 x 40 = 260

260 cm = 2.6 m

Width

4.5 x 40 = 180

180 cm= 1.8 m

Area

1.8 x 2.6 = 4.68 m

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a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.
ANEK [815]

The area of a rectangle is the product of its dimensions

The dimensions of the rectangle are: \mathbf{Length = a -5} and \mathbf{Width = a^2 + 5a + 25}

The area is given as:

\mathbf{Area = a^3 - 125}

Express 125 as 5^3

\mathbf{Area = a^3 - 5^3}

Apply difference of cubes

\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}

\mathbf{Area = (a - 5)(a^2 + 5a + 25)}

The area of a rectangle is:

\mathbf{Area = Length \times Width}

So, by comparison:

\mathbf{Length = a -5}

\mathbf{Width = a^2 + 5a + 25}

Read more about areas at:

brainly.com/question/3518080

6 0
2 years ago
A² + b² = 7b and b² + (2b-a)² = 7² find (a - b)².
Mamont248 [21]

Answer:

(a - b)^2 = 49 - 4b^2 +2ab

Step-by-step explanation:

Given: a^2 + b^2 = 7b (assuming A is really “a”)

b^2 + (2b - a)^2 = 7^2

Find; (a - b)^2

Plan: Use Algebraic Manipulation

Start with b^2 + (2b - a)^2 = 7^2 =>

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a^2 + b^2 + 4b^2 - 4ab = 49 rearranging terms

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a^2 - 2ab + b^2 = 49 - 4b^2 +2ab rearranging and subtracting 4b^2 and adding 2ab to both sides of the equation and by factoring a^2 - 2ab + b^2

(a - b)^2 = 49 - 4b^2 +2ab

Double Check: recalculated ✅ ✅

(a - b)^2 = 49 - 4b^2 +2ab

4 0
3 years ago
A spherical storage tank has a diameter of 14 ft. How many cubic feet of water will it hold?. ______ cubic ft.
AlladinOne [14]
V<span>=(</span><span>4/</span><span>3)</span><span>πr^</span><span>3
R=radius
Diameter= 2 times R
so,
R=7 ft
plugging the values;
V=(4/3)(3.14)(7)^3
V=1436.02 Cubic feet</span>
3 0
4 years ago
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romanna [79]
The answer is Y=2x+3
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Blizzard [7]

Answer: oh  this is hard

Step-by-step explanation: its b

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