Answer:
the roots are n = 1 + √15 and n = 1 - √15
Step-by-step explanation:
In this case I would immediately rewrite n² - 2n - 5 = 10 as
n² - 2n = 10 + 5 = 15.
To complete the square: Identify the coefficient of n (it is -2). Halve that, obtaining -1, square this result, and then add the outcome (1) to and subtract the outcome (1) to n² - 2n:
n² - 2n <em>+ 1 - 1 </em> = 15
Next, rewrite n² - 2n + 1 as the square of a binomial:
(n - 1)² = 15
Finally, take the square root of both sides:
n - 1 = ±√15
so that the roots are n = 1 + √15 and n = 1 - √15
Answer: Answer is D, if I'm not mistaking
Step-by-step explanation:
sorry if im wrong.
Answer and Step-by-step explanation:
You are correct in that we need to use the Law of Sines:
.
Here, when we use the Law of Sines, we have:
.
Cross multiply:
(sinB) * 28 = (sin63) * 29
28sinB ≈ 25.839
sinB ≈ 0.9228
Now, in order to solve for B, we need to use inverse sin (
):

The sines on the left cancel out, and we're left with:
B ≈ 67.3 degrees
Now, one thing to keep in mind when doing Law of Sines is that there is potentially more than one answer possible for the degree measure. The other degree measure can be found by subtracting this one from 180:
180 - 67.3 = 112.7 degrees.
Hope this helps!
Answer:
271,403 is rounded to 270,000 because the 1403 before it is less than 5000, 4 and below drop it down, 5 or more bump it up.
Step-by-step explanation: