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4 years ago

HELP PLEASE

Mathematics

1 answer:

oksian1 [2.3K]4 years ago

7 0

Answer:

u = <3.5,2>

Step-by-step explanation:

u = 4<cos(30°), sin(30°)>

= 4<√3/2, 1/2>

= <2√3, 2>

≈ <3.5, 2>

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Find the area of the convex polygon with vertices (0,5), (-1,2), (4,4), (-3,-4) and (2,0).

Afina-wow [57]

The area of the convex polygon is 43/2 square units

<h3>How to determine the area of the convex polygon?</h3>

The vertices are given as:

(0,5), (-1,2), (4,4), (-3,-4) and (2,0)

The area is then calculated as:

$A = \frac 12(\left[\begin{array}{cc}x_1&x_2\\y_1&y_2\end{array}\right] + \left[\begin{array}{cc}x_2&x_3\\y_2&y_3\end{array}\right] + ....+\left[\begin{array}{cc}x_n&x\\y_n&y\end{array}\right] )$

So, we have:

$A = \frac12 * (|-1 * 5 - 2 * 0 + 0 * 4 - 5 * 4 + 4 * 0 - 4 * 2 + 2 * -4 - 0 * -3 -3 * 2 + 4 * 1|)$

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$A = \frac12 * (|-43|)$

Remove the absolute bracket

$A = \frac12 * 43$

This gives

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