Answer:
2√3
Step-by-step explanation:
You recognize this as a 30°-60°-90° triangle, so you know the hypotenuse (R) is twice the length of the shortest side (√3).
The magnitude of R is 2√3.
_____
In case you haven't memorized the ratios for a 30°-60°-90° triangle, you can use trigonometry and the fact that ...
Sin = Opposite/Hypotenuse
sin(30°) = √3/R
R = √3/sin(30°) = √3/(1/2) = 2√3
Of course, doing this on your calculator will give a numerical answer, which you may not want.
The solution to given quadratic equation is x = -0.3851 or x = 10.3851
<em><u>Solution:</u></em>
Given equation is:
To find: solve by quadratic equation formula
Using the above formula,
<u><em>Substituting the values of a = -4 ; b = 40 ; c = 16 in above quadratic formula we get,</em></u>
Thus the solution to given quadratic equation is x = - 0.3851 or x = 10.3851
Answer:
A=52.8 miles (approximately)
Step-by-step explanation:
We can assume that this triangle is not a right angle, therefore we cannot use Pythagorean theorem. Let's use the Law of Sines:
Where A is unknown, a=28 miles, b=32 miles, B=87°
Therefore by law of sines we have:
By multiplying 28 to Isolate sin(A) we have:
To cancel out sine on the right, we must multiply both by the inverse sine and so: