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3 years ago

A circular table has a diameter of 4ft.what is its approximate area?(use pi=3)

1 answer:

5 0

Good question if only because it approximates. I imagine you might have been told to do the question in your head.

Area = pi r^2
r = d/2
r = 4/2
r = 2 feet
pi = 3

Area = 3 * 2 * 2 = 12 square feet <<<<<< Answer.

Somewhere in 1 Kings Ch 7, the Bible makes reference to pi being 3. It's a pretty good estimate considering the number system the Bible used.

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Nimfa-mama [501]

Answer:

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3 years ago

The length of a rectangle is 11 inches greater than twice the width. of the diagonal is 2 inches more than the length, find the

Triss [41]

Width= W
length=2w+11
diagonal=2w+13
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w^2+44w-52w-169+121=0
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3 years ago

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Figure ABCD is parallelogram with point A (-3,2) what rule would rotate the figure 90 counterclockwise

Mazyrski [523]

<h3>Answer:</h3>

(x, y) ⇒ (-y, x)

<h3>Explanation:</h3>

A point at y=1 on the y-axis will rotate to the point x = -1 on the x-axis when it is rotated 90° CCW about the origin. Hence the value of x for the image point is the opposite of the y-value of the original point.

A point at x=1 on the x-axis will rotate to the point y=1 on the y-axis when it is rotated 90° CCW about the origin. Hence the value of y for the image point is the x-value of the original point.

In summary, ...

... (x, y) ⇒ (-y, x)

_____

<em>Comment on rotation matrices</em>

The rotation matrix for rotatation through the angle θ CCW about the origin is ...

$\left[\begin{array}{cc}\cos{(\theta)}&-\sin{(\theta)}\\\sin{(\theta)}&\cos{(\theta)}\end{array}\right]$

When θ = 90°, this matrix becomes ...

$\left[\begin{array}{cc}0&-1\\1&0\end{array}\right]$

and multiplication by coordinates (x, y) gives ...

$\left[\begin{array}{cc}0&-1\\1&0\end{array}\right]\times\left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-y\\x\end{array}\right]$

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4 years ago

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dmitriy555 [2]

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4 years ago

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