Mathematics, 17.07.2019 12:00 pa482224

Two triangles can be formed with the given information. use the law of sines to solve the triangles. a = 56°, a = 12, b = 14

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Answer from: franco43

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°

Answer from: Quest

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Answer from: Quest

fabric (square meters) cloaks

7 21

4/3 4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is square meter. now we will multiply by 4 to find fabric needed for 4 cloaks.

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Two triangles can be formed with the given information. use the law of sines to solve the triangles....

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