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natta225 [31]
2 years ago
6

One of the legs of a right triangle measures 9cm and the other leg measures 8cm. Find the measure of the hypotenuse. If necessar

y round to the nearest
tenth.
Mathematics
1 answer:
Aleks04 [339]2 years ago
4 0

Answer:

12.0 cm

Step-by-step explanation:

Use Pythagorean theorem a^2+b^2 = c^2

a = 9

b = 8

hypotenuse = c = \sqrt{8^2+9^2}

c = 12.04 cm

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Read 2 more answers
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]

7 0
4 years ago
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