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).
Answer:
Hello!
answer: a = 5
b = 8
Step-by-step explanation:
since we are given 1 side of the parellogram we can use that to figure out the rest! parellograms will add up to 360 degrees since 1 angle is 115 that means the other will be 115 115 + 115 = 230
360 - 230 = 130 since there 2 angles across from each other they will both equal the same so 130 ÷ 2 = 65 so both of these angles will have to equal 65 because 65 + 65 + 115 + 115 = 360 a = 5 because 14 x 5 = 70 and 70 - 5 = 65 b = 8 because 8 x 8 = 64 and 64 + 1 = 65 Hope this helps you understand!
Answer:
See the step-by-step
Step-by-step explanation:
How do you factor trinomials? -
You factor trinomials by using methods like FOIL multiplication and simple factoring patterns.
How can we check the binomial factors to verify that they are truly factors?
We can multiply the binomial factors out to see that they are truly factors.
Create an example of a trinomial and factor it to its binomial factors.
+5x+6 factors into
(x+2)(x+3).
Sorry for the trashy answer.
Answer:
Step-by-step explanation:
(i)(i)(i)= -i
Answer:
x = 94.25 kg
Step-by-step explanation:
We can set up ratios to determine the number of kg.
4 bushels 6.5 bushels
-------- -- = --------------
58 kg x kg
Using cross products
4 * x = 58 * 6.5
4x = 377
Divide by 4
x = 94.25 kg
