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e-lub [12.9K]
2 years ago
15

5. Write two expressions for the area of the big rectangle. ​

Mathematics
1 answer:
4vir4ik [10]2 years ago
3 0

Answer:

Two expressions for the area are;

i) x/3 + 2·y + 6

ii) (1/3) × (x + 6·y + 18)

Step-by-step explanation:

The given dimension of the rectangle are;

The height of the rectangle, h = 1/3

The width of the smallest rectangle, w₁ = x

The width of the med sized rectangle, w₂ = 6·y

The width the large rectangle, w₃ = 18

The area, 'A', of the entire rectangular figure, the big rectangle, can be expressed as follows;

A = A₁ + A₂ + A₃

Where;

A₁ = The area of the smallest rectangle

A₂ = The area of the mid sized rectangle

A₃ = The area of the large rectangle

∴ A = (1/3) × x + (1/3) × 6·y + (1/3) × 18 = x/3 + 2·y + 6

The area of the big rectangle. 'A', can also be found as follows;

A = (1/3) × (x + 6·y + 18)

Therefore, two expressions for the area of the big rectangle are;

x/3 + 2·y + 6 and (1/3) × (x + 6·y + 18).

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Answer:

9043.2 in^3 of lead

Step-by-step explanation:

the formula is (4/3)(3.14)r^3

so,

(4/3)(3.14)(3^3) * 80

9043.2

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3 years ago
Please someone help me out
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The interior dimensions of Mr. Tran's pet fish Mino fish tank are 4 feet long, 3 feet wide, and 2 feet high. The water level in
nika2105 [10]

Answer:

The height of water in the second tank is 2ft

Step-by-step explanation:

In this question, we are asked to calculate the height of water in a second tank if the content of a first tank is poured into the second tank.

The plot twist to answering this question is that we need to note the volume of water in the first tank. Although the first tank has dimensions of 2ft by 3ft by 2ft height, the water in the tank only rose to a height of 1 feet.

Hence, to calculate the volume of the water in the first tank, the width and the length of the tank still remain the same, the only difference here is that we work with a height of 1 feet since the Water is not full.

Mathematically, the volume of water present in the tank will be;

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V = 4 * 3 * 1 = 12 cubic feet

Now, this content is emptied into a second tank. Since the volume of water here is the same; this means;

12 cubic feet = 3 * 2 * h

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8 0
3 years ago
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Write the percent as a fraction or mixed number in simplest form. 72.5
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Answer:

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Step-by-step explanation:


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What Is 2(2x-5)=3x+x-2x ?
oksano4ka [1.4K]

Answer:

x = 5

Step-by-step explanation:

Solve for x:

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

3 x + x - 2 x = 2 x:

2 (2 x - 5) = 2 x

Divide both sides by 2:

2 x - 5 = x

Subtract x from both sides:

(2 x - x) - 5 = x - x

2 x - x = x:

x - 5 = x - x

x - x = 0:

x - 5 = 0

Add 5 to both sides:

x + (5 - 5) = 5

5 - 5 = 0:

Answer: x = 5

7 0
3 years ago
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