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AlexFokin [52]
3 years ago
9

Find the area please

Mathematics
1 answer:
tatuchka [14]3 years ago
6 0

Answer:

D

Step-by-step explanation:

Recall that the area of a triangle is given by:

\displaystyle A = \frac{1}{2} bh

In this case, the base is <em>x</em> and the height is <em>y</em>. Hence:

\displaystyle A = \frac{1}{2} xy

We can write the following ratios:

\displaystyle \sin \alpha = \frac{x}{12} \text{ and } \cos \alpha = \frac{y}{12}

Solve for <em>x</em> and <em>y</em>:

\displaystyle x = 12\sin \alpha \text{ and } y = 12\cos \alpha

Substitute:

\displaystyle A = \frac{1}{2}\left(12\sin \alpha\right)\left(12\cos \alpha\right)

And simplify. Hence:

\displaystyle A = 72\sin \alpha \cos\alpha

In conclusion, our answer is D.

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Answer:

100 mins

Step-by-step explanation:

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3 years ago
What is the equation of the line that is perpendicular to the
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Answer:

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Step-by-step explanation:

The x-intercept is found replacing y = 0, as follows:

<u>Function:</u> y = -3x + 8

x-intercept:

0 = -3x + 8  

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x = 8/3

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x-intercept:

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x-intercept:

0 = -x - 8  

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x = 6

The last option is the only one in which x-intercept is x = 6.

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3 years ago
Subtract (2x3 + 9x − 8) − (4x2 − 15x + 7).
STatiana [176]
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Answer:

Step-by-step explanation:

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