3 years ago

How would the expression x^2+27 be rewritten using sum of cubes?

1 answer:

6 0

Assuming the square is not a typo, one can write

$x^2+27=(x^{2/3})^3+3^3=(x^{2/3}+3)\bigg((x^{2/3})^2-3x^{2/3}+9\bigg)$

$=(x^{2/3}+3)\bigg(x^{4/3}-3x^{2/3}+9\bigg)$

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Write an expression that shows how to multiply 7 x 256 using expanded form and the distributive property

natali 33 [55]

256×7=1792 in expanded form it is 1000+700+90+2

6 0

3 years ago

Read 2 more answers

What is m∠C?<br><br> Round the value to the nearest degree.

Elis [28]

Answer: $m\angle C=53\°$

Step-by-step explanation:

For this exercise you need to use the Inverse Trigonometric function arcsine, which is defined as the inverse function of the sine.

Then, to find an angle α, this is:

$\alpha =arcsin(\frac{opposite}{hypotenuse})$

In this case, you can identify that:

$\alpha =m\angle C\\\\opposite=AB=36\ cm\\\\hypotenuse=AC=45\ cm$

Then, substituting values into $\alpha =arcsin(\frac{opposite}{hypotenuse})$ and evaluating, you get that the measure of the angle "C" to the nearest degree, is:

$m\angle C=arcsin(\frac{36\ cm}{45\ cm})\\\\m\angle C=53\°$