D = sqrt (x2 - x1)^2 + (y2 - y1)^2
d = sqrt (-8-7)^2 + (-9-(-1)^2
d = sqrt (-15^2)^2 + (-8^2)^2
I am getting : (-15^2) + (-8^2)
Answer:
correlation
Step-by-step explanation:
Correlation is a statistical technique that is used to measure and describe a relationship between two variables.
2 a + b = 15.7
Since the sides are equal length, the equation is:
2 · 6.3 + b = 15.7
We can solve it:
12.6 + b = 15.7
b = 15.7 - 12.6
b = 3.1 cm
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°
Since the pentagon is regular, the sides are all of equal length. This tells you
... 5x-27 = 2x-6
... 3x = 21 . . . . . . . add 27-2x
... x = 7
The length of a side can be found by subtituting this value into either expression.
... 2·7-6 = 8 . . . . inches