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kicyunya [14]
3 years ago
6

Order 3.26,15/4,3 18/25,3.722 from least to greatest

Mathematics
1 answer:
Rashid [163]3 years ago
5 0

Answer:18/25, 15/4, 3.26, 3.722

Step-by-step explanation:

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A cuboid with a volume of 924cm^3 has dimensions
Leona [35]

The values of x are -22 and 10

The dimensions are 4 cm , 11 cm , 21 cm

Step-by-step explanation:

The given is:

  • A cuboid with a volume of 924 cm³
  • It has dimensions  4 cm , (x + 1) cm and (x + 11) cm

We want to show that x² + 12x - 220 = 0, and solve the equation to find its dimensions

The volume of a cuboid is the product of its three dimensions

∵ The dimensions of the cuboid are 4 , (x + 1) , (x + 11)

∴ Its volume = 4(x + 1)(x + 11)

- Multiply the two brackets and then multiply the product by 4

∵ (x + 1)(x + 11) = (x)(x) +(x)(11) + (1)(x) + (1)(11)

∴ (x + 1)(x + 11) = x² + 11x + x + 11 ⇒ add like terms

∴ (x + 1)(x + 11) = x² + 12x + 11

∴ Its volume = 4(x² + 12x + 11)

∴ Its volume = 4x² + 48x + 44

∵ The volume of the cuboid = 924 cm³

- Equate the expression of the volume by 924

∴ 4x² + 48x + 44 = 924

- Subtract 924 from both sides

∴ 4x² + 48x - 880 = 0

- Simplify it by dividing all terms by 4

∴ x² + 12x - 220 = 0

Now let us factorize it into two factors

∵ x² = x × x

∵ 220 = 22 × 10

∵ 22(x) - 10(x) = 12x ⇒ the middle term

∴ x² + 12x - 220 = (x + 22)(x - 10)

∴ (x + 22)(x - 10) = 0

- Equate each factor by 0 to find x

∵ x + 22 = 0 ⇒ subtract 22 from both sides

∴ x = -22

∵ x - 10 = 0 ⇒ add 10 to both sides

∴ x = 10

∴ The values of x are -22 and 10

We can not use x = -22 because there is no negative dimensions, then we will use x = 10

∵ The dimensions are 4 , (x + 1) , (x + 11)

∵ x = 10

∴ The dimensions are 4 , (10 + 1) , (10 + 11)

∴ The dimensions are 4 cm , 11 cm , 21 cm

Learn more:

You can learn more about the factorization in brainly.com/question/7932185

#LearnwithBrainly

3 0
3 years ago
What is the inverse of this function?<br> [Will give Brainliest]
ira [324]

Answer:

the inverse of a function is the exact opposite

Step-by-step explanation:

3 0
3 years ago
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A carnival charges $8 to enter and $3 per ride. Fill in the table of values for the total cost for a person to enter and go on 0
grigory [225]

Answer:

Look at the picture

Step-by-step explanation:

For 0 rise it would just be eight dollars

4 0
2 years ago
How to find restrictions for x??<br> 3. F(x)=2 sqrt x-4
stealth61 [152]

Answer:

  1. none
  2. none
  3. x ≥ 4

Step-by-step explanation:

The restrictions placed on the independent variable in a function are those necessary to ensure that the function is defined for all allowed values of that variable.

In the graphs of problems 1) and 2), we see that the functions are defined for all values of x, so there are no restrictions.

__

3. For the function ...

  f(x)=2\sqrt{x-4}

the value under the radical cannot be negative. The square root function is not defined for negative values, so the restriction is ...

  x -4 ≥ 0

  x ≥ 4 . . . . . . . add 4 to both sides of the inequality

4 0
3 years ago
Find the length of the unknown side of the right triangle with sides a, b, and c, where c is the hypotenuse. Give an exact answe
notsponge [240]

Answer:

16.97

Step-by-step explanation:

Therefore b= 16.97

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2 years ago
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