Answer:
<h3>66° has a sine of 0.9123.</h3>
Step-by-step explanation:
We are given value of sine trigonometric ratio = 0.9123.
We need to find the angle in degrees whose measure has a sine of 0.9123.
So, we need to find the value of
.
On plugging
in calculator, we get
65.82°.
Now, we need to round it to the nearest whole degree.
Therefore, 65.82°≈ 66°.
<h3>Therefore, 66° has a sine of 0.9123.</h3>
We have been given a polynomial and we are asked to factor our polynomial by double grouping.

First of all we will group terms with common factors. We can see that
and 2x have a common factor x. Common factor of -3x and -6 is -3.


Now we will factor out Greatest Common Factor from each group.
After factoring out GCF from each group we got (x+2) as our common binomial. Now we will write our polynomial as a product of two binomials as:
Therefore, our polynomial as a product of two binomials will be
.
Hello!
The discriminant of quadratic functions is: b² - 4ac. Since the equation is in standard form, which is Ax² + Bx + C = 0 , we can substitute those values into our discriminant and simplify.
The value of the discriminant will tell us how many solutions there are to the given quadratic equation.
A positive discriminant will have two real solutions.
A discriminant of zero will have one real solution.
A negative discriminant will no real solutions.
1. Substitute, a = 16, b = 8, c = 1.
8² - 4(16)(1)
64 - 4(16)(1)
64 - 64(1)
64 - 64
0
Since the discriminant is zero, the answer is choice A, double root, because since it is raised to the power of 2, it must has two roots, but in this case, both of the roots the same x-values.
Suppose two dice are tossed and the numbers on the upper faces are observed. let s denote the set of all possible pairs that can be observed.
Answer: If two dice are tossed, there are
possible outcomes.The possible pairs that can be observed are given in a set denoted by s below:
![\left[\begin{array}{cccccc}(1,1)&(1,2)&(1,3)&(1,4)&(1,5)&(1,6)\\(2,1)&(2,2)&(2,3)&(2,4)&(2,5)&(2,6)\\(3,1)&(3,2)&(3,3)&(3,4)&(3,5)&(3,6)\\(4,1)&(4,2)&(4,3)&(4,4)&(4,5)&(4,6)\\(5,1)&(5,2)&(5,3)&(5,4)&(5,5)&(5,6)\\(6,1)&(6,2)&(6,3)&(6,4)&(6,5)&(6,6)\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D%281%2C1%29%26%281%2C2%29%26%281%2C3%29%26%281%2C4%29%26%281%2C5%29%26%281%2C6%29%5C%5C%282%2C1%29%26%282%2C2%29%26%282%2C3%29%26%282%2C4%29%26%282%2C5%29%26%282%2C6%29%5C%5C%283%2C1%29%26%283%2C2%29%26%283%2C3%29%26%283%2C4%29%26%283%2C5%29%26%283%2C6%29%5C%5C%284%2C1%29%26%284%2C2%29%26%284%2C3%29%26%284%2C4%29%26%284%2C5%29%26%284%2C6%29%5C%5C%285%2C1%29%26%285%2C2%29%26%285%2C3%29%26%285%2C4%29%26%285%2C5%29%26%285%2C6%29%5C%5C%286%2C1%29%26%286%2C2%29%26%286%2C3%29%26%286%2C4%29%26%286%2C5%29%26%286%2C6%29%5Cend%7Barray%7D%5Cright%5D)