Answer:
Step-by-step explanation:
This is an equation for which you need to solve for the value of the missing angle beta.

sin(15) has a decimal answer that you will find on your calculator. Finding that value makes this equation then
cosβ = .2588190451
Now use the 2nd button and then the cos button to find the angle that has a cos of that decimal. When you hit 2nd then cos, you should see this on your screen:
cos⁻¹ (
After that open parenthesis, enter you decimal then hit the enter button to find the angle. You should get 75, which is Choice B.
2/3x - 1/2y = 3 |multiply both sides by 6
4x - 3y = 18
1/2x + y = 5 |multiply both sides by 2
x + 2y = 10
Answer: 4x - 3y and x + 2y = 10.
60 more students voted for Kevin
Step-by-step explanation:
Given
total students = 300
Voted for Jennifer = 40%
Voted for Kevin = 60%
We will find number of students for one of them and then will subtract from total to find the others.
So,
Students who voted for Jennifer:

Students who voted for Kevin
=
In order to calculate that how many more students voted for Kevin :
180-120 = 60
Hence,
60 more students voted for Kevin
Keywords: Percentage
Learn more about percentage at:
#LearnwithBrainly
Answer:
a) Observe that
![G=\left[\begin{array}{ccc}2&6\\4&0\end{array}\right] =2\left[\begin{array}{ccc}1&3\\2&0\end{array}\right] =2F](https://tex.z-dn.net/?f=G%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%266%5C%5C4%260%5Cend%7Barray%7D%5Cright%5D%20%3D2%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%263%5C%5C2%260%5Cend%7Barray%7D%5Cright%5D%20%3D2F)
Then, 
b) The zero matrix satisfies that for every matrix B such that the product is well defined, 
Since the matrix G is the zero matrix then 
c) The identity(Id) matrix satisfies that for that for every matrix B such that the product is well defined Id*B=B=B*Id. Observe that G is the identity matrix, then FG=F*Id=F=Id*F=GF
d) Observe that
.
Then 
Answer:
First Option is correct.
(x+2)(x+3)(x-4)
Step-by-step explanation:
Given:
The given factor is.

We need to find the factors of given factor.
Solution:

Substitute (-4x-10x) in the place of -14x

Rearrange the equation:

Now we factorised the above equation.
The factors of 
Now we substitute (x+2)(x-12) in the place of 
And in the place of 

Simplify 
![f(x)=x[(x+2)(x-2)]+(x+2)(x-12)](https://tex.z-dn.net/?f=f%28x%29%3Dx%5B%28x%2B2%29%28x-2%29%5D%2B%28x%2B2%29%28x-12%29)
Common factor for above function (x+2)
![f(x)=(x+2)[x(x-2)+(x-12)]](https://tex.z-dn.net/?f=f%28x%29%3D%28x%2B2%29%5Bx%28x-2%29%2B%28x-12%29%5D)
Simplify.
![f(x)=(x+2)[x^{2}-2x+x-12]](https://tex.z-dn.net/?f=f%28x%29%3D%28x%2B2%29%5Bx%5E%7B2%7D-2x%2Bx-12%5D)

The factor of 
So the factors of the function.

Therefore, the factors of the given function are (x+2)(x-4)(x+3)