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Dmitry [639]
3 years ago
8

Evaluate the expression below for p = - 2 and q = 3 (p^2q) ^3

Mathematics
1 answer:
Nitella [24]3 years ago
6 0

Answer:

1728

Step-by-step explanation:

{( {p}^{2} q)}^{3}  \\  = {(( { - 2}^{2} ) \times 3)}^{3}  \\  = {(3 \times 4)}^{3}  \\ =   ({12})^{3}  \\  = 1728

<h2><em>OladipoSeun</em><em>♡˖꒰ᵕ༚ᵕ⑅꒱</em></h2>

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Two cargo ships spot a signal fire on a small island. The captains know they are 140 feet
Irina18 [472]

The distance from Ship B to the signal fire at point C is 405.4 \mathrm{ft}

Explanation:

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The angle formed by ship A is 82º and the angle formed by ship B is 78º.

To determine the distance from ship B to the signal fire at point C, we need to know the another angle.

Hence, we have,

\begin{aligned}\angle A+\angle B+\angle C &=180^{\circ} \\82^{\circ}+78^{\circ}+\angle C &=180^{\circ} \\160^{\circ}+\angle C &=180^{\circ} \\\angle C &=20^{\circ}\end{aligned}

Now, we shall solve the problem using the law of sines,

\frac{\sin A}{a}=\frac{\sin C}{c}

Substituting the values, we have,

\frac{\sin 82^{\circ}}{a}=\frac{\sin 20^{\circ}}{140}

\frac{0.9903}{a}=\frac{0.3420}{140}

Simplifying, we get,

a=\frac{0.9903 \times 140}{0.3420}

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3 years ago
Dave makes 12 groups of 10 rocks and has none left over. How many rocks does Dave have?
zhannawk [14.2K]


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because 12X10 is 120 and he has 12 groups of 10

5 0
3 years ago
Read 2 more answers
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