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2 years ago

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What is the volume of a square that's sides are 5cm, 3cm, 8cm, 12cm?

1 answer:

Tpy6a [65]2 years ago

6 0

Answer:

what is the l,w,h? You would do the l,w,h. If it is 5,3,8 do 5*3=15*8=120

Step-by-step explanation:

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What is (-22 times by 7) +(0.1 x 0.9) = ??

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Answer:

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2 years ago

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andrey2020 [161]

First observe that if $a+b>0$ ,

$(a + b)^2 = a^2 + 2ab + b^2 \\\\ \implies a + b = \sqrt{a^2 + 2ab + b^2} = \sqrt{a^2 + ab + b(a + b)} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{\cdots}}}}$

Let $a=0$ and $b=x$ . It follows that

$a+b = x = \sqrt{x \sqrt{x \sqrt{x \sqrt{\cdots}}}}$

Now let $b=1$ , so $a^2+a=4x$ . Solving for $a$ ,

$a^2 + a - 4x = 0 \implies a = \dfrac{-1 + \sqrt{1+16x}}2$

which means

$a+b = \dfrac{1 + \sqrt{1+16x}}2 = \sqrt{4x + \sqrt{4x + \sqrt{4x + \sqrt{\cdots}}}}$

Now solve for $x$ .

$x = \dfrac{1 + \sqrt{1 + 16x}}2 \\\\ 2x = 1 + \sqrt{1 + 16x} \\\\ 2x - 1 = \sqrt{1 + 16x} \\\\ (2x-1)^2 = \left(\sqrt{1 + 16x}\right)^2$

(note that we assume $2x-1\ge0$ )

$4x^2 - 4x + 1 = 1 + 16x \\\\ 4x^2 - 20x = 0 \\\\ 4x (x - 5) = 0 \\\\ 4x = 0 \text{ or } x - 5 = 0 \\\\ \implies x = 0 \text{ or } \boxed{x = 5}$

(we omit $x=0$ since $2\cdot0-1=-1\ge0$ is not true)

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1 year ago

The number sentence 4*7 = (4*3)+ (4*4) is an example of what property

Mariulka [41]

This is Commutative property of addition

7 0

3 years ago

Read 2 more answers

The sum of the measures of the interior angles of a triangle is 180Â°. The sum of the measures of the interior angles of a quadr

omeli [17]

Answer: 1080 degrees

Step-by-step explanation:

Since the general formular is

(n - 2 )180 = interior angle.

Where n is the number of sides the polygon has.

Octagon has 8 sides so therefore n= 8.

(8-2 ) * 180

= 6 * 180

=1080.

The total number of the interior angles measured is 1080 degrees.

6 0

3 years ago

I really need help<br> Solve for x

MakcuM [25]

$\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}$

1. Both are corresponding angles, hence they both are equal, so,

$44x + 2 = 45x \\ = > 2 = 45x - 44x \\ = > 2 = x \\ = > x = 2$

Ans. C) 2

2. They both are in interior corressponding, hence their sum is equal to 180°, so,

$10x + 6 + 104 = 180 \\ = > 10x + 110 = 180 \\ = > 10x = 180 - 110 \\ = > 10x = 70 \\ = > x = \frac{70}{10} \\ = > x = 7$

Ans. D) 7

3. They both are in interior corressponding, hence their sum is equal to 180°, so,

$x + 75 + x + 125 = 180 \\ = > 2x + 200 = 180 \\ = > 2x = 180 - 200 \\ = > 2 x = - 20 \\ = > x = \frac{ - 20}{2} \\ = > x = - 10$

Ans. A) -10

4. Both are corresponding angles, hence they both are equal, so,

$12x + 3 = 11x + 9 \\ = > 12x - 11x = 9 - 3 \\ = > x = 6$

Ans. A) 6

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3 years ago