C. 1/root2
Based on the information, the hypotenuse will be 6root2 because it is a 45, 45, 90 triangle. The two legs will be 6. Using SOH CAH TOA, we know that for cosine, it will be adjacent/hypotenuse. The adjacent side is 6 and the hypotenuse is 6root2. The result will be (6)/(6root2). After simplifying, we get
1/root2.
Answer:
No <em>real</em> solutions (or has two complex roots)
Step-by-step explanation:
The discriminant, <em>b</em>² - 4<em>ac</em>, is the expression (<u><em>radicand </em></u>) of the quadratic equation:
.
The value of the discriminant determines the <u>nature</u> and the <u>number of solutions</u> given by the quadratic equation.
A discriminant with a negative value (or b² - 4ac < 0 ) means that the quadratic equation has no real solutions or two complex solutions. Quadratic equations with a negative discriminant also have no x-intercepts; thus, its graph will not cross the x-axis.
times more stars are there in universe compared to human eye can see
<h3><u>
Solution:</u></h3>
Given that, conservative estimate of the number of stars in the universe is 
The average human can see about 3,000 stars at night with only their eyes
To find: Number of times more stars are there in the universe, compared to the stars a human can see
Let "x" be the number of times more stars are there in the universe, compared to the stars a human can see
Then from given statement,

<em><u>Substituting given values we get,</u></em>

Thus
times more stars are there in universe compared to human eye can see
Answer:
B. List each book on a separate piece of paper, place them all in a hat, and pick three
D. Number the books from 1 to 9 and use a random number table to produce 3 different one digit numbers corresponding to the books selected
Step-by-step explanation:
A simple random sample is a subset of a statistical population where every member has an equal chance of being selected.For example in a company with 500 workers, names of 100 workers can be selected from a hat containing the names of 500 workers.
Y = 5 - 4x
5 - 4x = x^2 - 2x - 19
0 = x^2 + 2x -24
0 = (x + 6)(x - 4)
Therefore x = -6 (Given) or 4
x = 4, y = -9
(4,-9) is the other solution