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Anestetic [448]

3 years ago

12

Leon filled a box with unit cubes. When it was completely filled, the box contained 32 cubes and had no gaps or overlaps. What w

as the volume of the box?

1 answer:

QveST [7]3 years ago

6 0

Leon is filled
Explanation

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Where were the two cars in relation to each other when they began traveling?

Maslowich

Answer:

car go broom broom

Step-by-step explanation:

its B im 99% sure :)

8 0

3 years ago

Factor x3y6 + 27z42. (xy3 + 3z39)(x2y9 – 3xy3z39 + 9z1,521) (xy3 + 3z39)(x2y6 – 3xy3z39 + 9z78) (x3y6 + 27z42)(x6y12 – 27x3y6z42

Licemer1 [7]

Answer:

$x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})$

Step-by-step explanation:

Given

$x^3y^6 + 27z^{42$

Required

Factor

Express both terms as a cube

$x^3y^6 + 27z^{42} = (xy^2)^3 + (3z^{14})^3$

Let

$a =(xy^2)$

$b = (3z^{14})$

So:

$x^3y^6 + 27z^{42} = a^3 + b^3$

Using sum of cubes:

$a^3 + b^3 = (a + b)(a^2 - ab + b^2)$

So:

$x^3y^6 + 27z^{42} = (a + b)(a^2 - ab + b^2)$

Substitute in, values of a and b

$x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})((xy^2)^2 - (xy^2)*(3z^{14}) + (3z^{14})^2)$

$x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})$

5 0

3 years ago

Read 2 more answers

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. B = 105°, a

Akimi4 [234]

Answer:

The area of triangle is $110.10cm^{2}$

Step-by-step explanation:

It is given that AB=19cm, BC=12cm and ∠B=105°

Now, Area of the triangle ABC= $\frac{1}{2}acsinB$

= $\frac{1}{2}{\times}12{\times}19{\times}sin105^{\circ}$

= $6{\times}19{\times}(0.965)$

= $110.10cm^{2}$

Thus, the area of triangle is $110.10cm^{2}$

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4 years ago

You roll a fair 6 sided die. What is P (not 3)? If necessary, round your answer to 2 decimal places.

Leokris [45]

Answer:

P is an abbreviation for Probability.

The probability of getting 3 is 1/6

The probability of getting any number alone is 1/6

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4 years ago

Which of the following statements are true for a trapezoid?

Ugo [173]

The Best answer out of the answers above is option 3. A trapezoid has only 1 set of parallel sides.

Hope this Helps! ~Giz

4 0

4 years ago

Read 2 more answers