Answer:
Solution given:
Increase percentage=
%
=4%
<u>the percentage </u><u>increase</u><u> </u><u>is</u><u> </u><u>4</u><u>%</u><u>.</u>
Answer:
(4,3)
Step-by-step explanation:
To find the midpoint add the end points and divide by 2
P(2,5) S ( sx, sy) and the midpoint is and H (3,4)
X coordinate
( 2+ sx) /2 = 3
Multiply each side by 2
2+sx = 3*2
2+sx = 6
Subtract 2
sx = 4
Y coordinate
( 5+ sy) /2 = 4
Multiply each side by 2
5+sy = 4*2
5+sy = 8
Subtract 5
sy = 3
The end point is
(4,3)
Each side of the board would have to be at least 36
76.6% so rounded up would be 77% as an a fraction 46/60
Answer:
A) ![\left[\begin{array}{cc}0&-1\\1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0%26-1%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The rotation matrix for a clockwise rotation through angle θ is given by ...
![M=\left[\begin{array}{cc}\cos{(\theta)}&-\sin{(\theta)}\\\sin{(\theta)}&\cos{(\theta)}\end{array}\right]](https://tex.z-dn.net/?f=M%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Ccos%7B%28%5Ctheta%29%7D%26-%5Csin%7B%28%5Ctheta%29%7D%5C%5C%5Csin%7B%28%5Ctheta%29%7D%26%5Ccos%7B%28%5Ctheta%29%7D%5Cend%7Barray%7D%5Cright%5D)
When θ = 90°, the matrix becomes the one in choice A).