Simplify the following: 7-3[(n^3+8n)/(-n)+9n^2]

1 answer:

7 0

If you would like to simplify <span>7 - 3[(n^3 + 8n) / (-n) + 9n^2], you can do this using the following steps:

</span>7 - 3[(n^3 + 8n) / (-n) + 9n^2] = 7 - 3[(-n^2 - 8) + 9n^2] = 7 - 3[-n^2 - 8 + 9n^2] = 7 - 3[ - 8 + 8n^2] = 7 - 3[8<span>n^2 - 8] = 7 - 24n^2 + 24 = - 24n^2 + 31
</span>
The correct result would be <span>- 24n^2 + 31.</span>

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Geometry<br> Solve for x. Round to the nearest tenth of a degree, if necessary.

zvonat [6]

Answer:

13. x = 52.8°

14. 663.65 ft

15. 30.7 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.

The sides adjacent and opposite the angle are marked. The relevant trig relation is ...

Tan = Opposite/Adjacent

tan(x°) = 2.5/1.9

The angle is found using the inverse tangent function:

x° = arctan(2.5/1.9) ≈ 52.8°

Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.

Tan = Opposite/Adjacent

tan(11°) = (129 ft)/(distance to shore)

distance to shore = (129 ft)/tan(11°)

distance to shore ≈ 663.65 ft

In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.

Sin = Opposite/Hypotenuse