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3 years ago

Find the surface area plz

Mathematics

1 answer:

GREYUIT [131]3 years ago

8 0

Answer:

Step-by-step explanation:

4 triangles

Each of the 3 from the vertical ones has area

A = bh/2 = 10.12/2 = 60ft^2

The latter surface pointing down

A = bh/2 = 10.8.7/2 = 43.5 ft^2

SO summation of all

60+43.5 = 103.5 ft^2

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The answer
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3 years ago

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2 years ago

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Part A:

You may choose the two lines connecting the origin and points A and B, and choose the portion of the space between them.

The line between the origin and A is

$y = 3x$

We want everything below this line (line included), so the first inequality is

$y \leq 3x$

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We want everything above this line (line included), so the second inequality is

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To verify the solutions, we can plug the coordinates of A and B in this system and check that we get something true: the coordinates of point A are (1,3), while the coordinates of point B are (3,1). The system becomes:

$A:\begin{cases}3 \leq 3\cdot 1\\3 \geq \frac{1}{3}\cdot 1\end{cases},\quad B:\begin{cases}1 \leq 3\cdot 3\\1 \geq \frac{1}{3}\cdot 3\end{cases}$

Which means

$A:\begin{cases}3 \leq 3\\3 \geq \frac{1}{3}\end{cases},\quad B:\begin{cases}1 \leq 9\\1 \geq 1\end{cases}$

And these are all true. So, the system is satisfied, which means that the points belong to the shaded area.

Part C

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$B:\ 1$

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