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aliya0001 [1]
3 years ago
10

Hey everyone i would appreciate a step by step explanation. Also the actual question was written in mixed number form i just con

verted it into improper fractions.
10/9 + 56/27
Mathematics
2 answers:
Jet001 [13]3 years ago
5 0
10/9 +56/27
LCM of 9 and 27 is 27
Divided 27 from both denominators
27 divided by 9 is 3 x 10=30
27 divided by 27 is 1 x 56=56
30+56 divided 27 = 86/27 or 3 5/27
Tresset [83]3 years ago
4 0

Answer:

86/27 or 3 5/27

Step-by-step explanation:

10/9 is nothing but 30/27 (multiply the numerator and denominator by 3/3)

By adding 30/27+56/27, we get 86/27, which is our final answer

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Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 56°, a = 12, b = 14
Eva8 [605]
We know that
case 1)
Applying the law of sines
a/Sin A=b/Sin B
A=56°
a=12
b=14
so
a*Sin B=b*Sin A----> Sin B=b*Sin A/a---> Sin B=14*Sin 56°/12
Sin B=0.9672
B=arc sin (0.9672)------> B=75.29°-----> B=75.3°

find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+75.3)----> C=48.7°

find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 48.7°/Sin 56°)
c=10.87-----> c=10.9

the answer Part 1)
the dimensions of the triangle N 1
are
a=12  A=56°
b=14  B=75.3°
c=10.9  C=48.7°

case 2) 
A=56°
a=12
b=14
B=180-75.3----> B=104.7°

find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+104.7)----> C=19.3°

find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 19.3°/Sin 56°)
c=4.78-----> c=4.8

the answer Part 2)
the dimensions of the triangle N 2
are
a=12  A=56°
b=14  B=104.7°
c=4.8    C=19.3°
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