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°
2580/3 * 100 = 860 * 100 = 86,000
Check:
86,000 * 0.03(3%) = 2580
The selling price of the house is $86,000.
Hello!
To find the value of x, we need to solve for the value of x.
5 + 4x = 32 + 2x (subtract 2x from both sides)
5 + 2x = 32 (subtract 5 from both sides)
27 = 2x (divide both sides by 2)
x = 27/2
Therefore, none of the given x-values make this equation true.
Use the slope formula y2-y1/x2-x1
3-(-7)/1-(-1) = 10/2 = 5
To find the y-intercept:
y=5x+b
3=5(1)+b
3 = 5+b
-5 -5
-2=b
The equation of the line that passes through (-1,-7) and (1,3) is
y=5x-2