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4 years ago

Find the circumference of a circle that has a radius of 7 cm. Use π=227.

Mathematics

2 answers:

Y_Kistochka [10]4 years ago

5 0

Answer:

Step-by-step explanation:

π(7*2)

π 14

22/7 14

tresset_1 [31]4 years ago

5 0

Answer:

C = 44 cm

Step-by-step explanation:

π = 22/7

C = 2π·R

= 2·7·22/7

= 2·22

= 44 cm

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4 years ago

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3 years ago

a business owner pays $500 a week for rent.He also pays an employee $16 an hour.If his total weekly expenses are $1,172 ,how man

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3 years ago

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3 years ago

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