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babunello [35]
3 years ago
7

Combining like terms -4x-10x

Mathematics
1 answer:
vlabodo [156]3 years ago
6 0

Answer:

-4x -10x

See both terms contain a common multiple x

and HCF of 4 and 10 is 2

So, take -2x common

-2x( 2 +5)

= -2x(7)

=-14x

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Choice A. 3.

Step-by-step explanation:

The triangle in question is a right triangle.

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  • The measure of one of the acute angle is also given.

As a result, the length of both legs can be found directly using the sine function and the cosine function.

Let \text{Opposite} denotes the length of the side opposite to the 30^{\circ} acute angle, and \text{Adjacent} be the length of the side next to this 30^{\circ} acute angle.

\displaystyle \begin{aligned}\text{Opposite} &= \text{Hypotenuse} \times \sin{30^{\circ}}\\ &=2\sqrt{3}\times \frac{1}{2} \\&= \sqrt{3}\end{aligned}.

Similarly,

\displaystyle \begin{aligned}\text{Adjacent} &= \text{Hypotenuse} \times \cos{30^{\circ}}\\ &=2\sqrt{3}\times \frac{\sqrt{3}}{2} \\&= 3\end{aligned}.

The longer leg in this case is the one adjacent to the 30^{\circ} acute angle. The answer will be 3.

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  • \sin{\theta} < \cos{\theta} if 0^{\circ} < \theta;
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  • \sin{\theta} = \cos{\theta} if \theta = 45^{\circ}.

4 0
3 years ago
Read 2 more answers
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