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
You have given us no information whatsoever concerning the distribution
of M&Ms in Matthew's pencil box, so it's quite impossible to formulate any
sort of answer to the question.
Answer:
C
Step-by-step explanation:
Since y will have same value, y doesn't really matter. Thus,
We can solve for y in the 2nd equation as:
-3x - y = 4
-3x - 4 = y
Now we can plug it into the first and solve for x:
-9x + 4y = 8
-9x + 4(-3x - 4) = 8
-9x - 12x - 16 = 8
-21x = 8 + 16
-21x = 24
x = 24/-21
x = -8/7
Correct answer is C.
Answer:
9.7%
Step-by-step explanation:
