Answer: Choice C) 2
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Explanation:
Using the law of sines, we get
sin(B)/b = sin(C)/c
sin(18)/7 = sin(C)/11
0.0441452849107 = sin(C)/11
11*0.0441452849107 = sin(C)
0.4855981340177 = sin(C)
sin(C) = 0.4855981340177
C = arcsin(0.4855981340177) or C = 180-arcsin(0.4855981340177)
C = 29.0516679549861 or C = 150.948332045013
There are two possibilities for angle C because of something like sin(30) = sin(150) = 1/2 = 0.5
Those approximate values of C round to
C = 29.05 and C = 150.95
If C = 29.05, then angle A is
A = 180-B-C
A = 180-18-29.05
A = 132.95
Making this triangle possible since angle A is a positive number
If C = 150.95, then angle A is
A = 180-B-C
A = 180-18-150.95
A = 11.05
making this triangle possible since angle A is a positive number
There are two distinct triangles that can be formed.
One triangle is with the angles: A = 132.95, B = 18, C = 29.05
The other triangle is with the angles: A = 11.05, B = 18, C = 150.95
The decimal values are approximate
So.. . . . . . √5=2.23607
1.05<√5<3.05
Answer:
The answer is 'No Solution'
9514 1404 393
Answer:
8 people
Step-by-step explanation:
If 20 of 140 people play tennis, then in a group of 504 people, we expect ...
(20/140) × 504 = 72 . . . . tennis players
If 1 of 9 tennis players has a coach, then in a group of 72 tennis players, we expect ...
(1/9) × 72 = 8 . . . . have a coach
We expect 8 of the 504 people have a tennis coach. We made this prediction by applying the given rates to the larger group.
No because 22 squared plus 24 squared does not = 26 squared
