Answer:
B
Step-by-step explanation:
Use the Law of Cosines to find the measure of segment c:

c ≈ 23.01593821 km ≈ 23 km
Since c = 23 km, our only options are choices B and D. Now, let's find the measure of angle A to confirm. To do this we will use the Law of Sines:
![\frac{sin(A)}{a} =\frac{sin(C)}{c} \\\\\frac{sin(A)}{12}=\frac{sin(134)}{23.01593821}\\\\sin(A)=12(\frac{sin(134)}{23.01593821})\\\\A=sin^{-1}[12(\frac{sin(134)}{23.01593821})]\\\\](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28A%29%7D%7Ba%7D%20%3D%5Cfrac%7Bsin%28C%29%7D%7Bc%7D%20%5C%5C%5C%5C%5Cfrac%7Bsin%28A%29%7D%7B12%7D%3D%5Cfrac%7Bsin%28134%29%7D%7B23.01593821%7D%5C%5C%5C%5Csin%28A%29%3D12%28%5Cfrac%7Bsin%28134%29%7D%7B23.01593821%7D%29%5C%5C%5C%5CA%3Dsin%5E%7B-1%7D%5B12%28%5Cfrac%7Bsin%28134%29%7D%7B23.01593821%7D%29%5D%5C%5C%5C%5C)
A ≈ 22.02726885° ≈ 22°
Since the measure of c = 23 km and the measure of angle A = 22°, the answer must be choice B.
Answer:
(a) isosceles
(b), (c) scalene
Step-by-step explanation:
The lengths of the sides can be found from the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.
We find triangle (a) has two sides the same length, so it is isosceles.
The other two triangles have three different side lengths, so they are scalene.
_____
<em>Additional comment</em>
It is impossible to specify an equilateral triangle using rational coordinates.
11 x 11= 121
7 x 2= 14
11 x 5= 55
11 x 6= 66
11 x 3= 33
12 x 6= 72
8 x 8= 64
7 x 6= 42
10 x 12= 120
3 x 6= 18
12 x 8= 96
11 x 8= 88
1 x 5= 5
Answer:
59%
Step-by-step explanation:
The information from Satellite Company Y is:
65 people watch live and 94 people watch recorded.
The total number of people from Y is:
65 + 94 = 159
So the probability that a random person from Y watches recorded shows more often is given by the division of the number of people watching more recorded shows (94) over the total number of people (159):
Probability = 94 / 159 = 0.5912 = 59.12%
Rounding to nearest whole percent, we have 59%