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erik [133]
3 years ago
7

anonymous 4 years ago The sides of a triangle measure 14.9 centimeters, 23.8 centimeters, and 36.9 centimeters. Find the measure

of the angle with the least measure.
Mathematics
1 answer:
Crank3 years ago
3 0
Using the Law of Cosines
cos (A) = b^2 + c^2 -a^2 / 2bc

cos (A) = (23.8*23.8 + 36.9*36.9 - 14.9*14.9) / (2*23.8*36.9)
cos (A) = <span> <span> <span> 0.9713055954 </span> </span> </span>
Angle = 13.759 Degrees

cos (A) = (36.9*36.9 + 14.9*14.9  -23.8*23.8 ) / (2*36.9*23.8)
cos (A) = <span> <span><span>0.9250286463 </span> </span> </span>
Angle = 22.327 Degrees

cos (A) = (14.9*14.9  + 23.8*23.8 -36.9*36.9) / (2*14.9*23.8)
cos (A) = <span> <span> <span> -0.808132649
Angle = 143.91 Degrees
</span> </span> </span>
So, the smallest angle is 13.759 Degrees


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Debora [2.8K]
1B: -3(9x-q)
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Step 1: Distribute the -3 to the 9x to get -27x.
Step 2: Distribute the -3 to the -q.


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Step 1: Distribute the 2 to the 12 to get 24.
Step 2: Distribute the 2 to the 5p to get 10p.

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Step 1: Distribute the 10 to the 2 to get 20. 
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5B: -8(7+11k)
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Step 1: Distribute the -8 to the 7 to get -56.
Step 2: Distribute the -8 to the 11k to get -88k.

6B: -(3-7u)
       -1(3-7u)
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Step 1: Place a 1 after the negative symbol to symbolize -1.
Step 2: Distribute the -1 to the three to get -3.
Step 3: Distribute the -1 to the -7u to get 7u.


7B: -6(5p + s)
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Step 1: Distribute the -6 to the 5p to get -30p.
Step 2: Distribute the -6 to the s to get -6s.

:) :D




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