Answer:
A = 99 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 18 and h = 11 , then
A = × 18 × 11 = 9 × 11 = 99 cm²
Answer:
(X2+3)2
Step-by-step explanation:
First, you have to substitute in what f(x) equals for y since f(x) stands for y.
By doing this, the equation turns into (x2+3)2, because x2+3 is y, and 2 because the original equation way y2.
After you substitute, the answer is (x2+3)2.
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°
Two lines are "inconsistent" if they are parallel. They are "equivalent" if they are the same line. Otherwise, they are "consistent."
Your first 3 graphs show "consistent" equations.
The 4th graph shows "inconsistent" equations.
The solution shown on the 5th graph is where the lines intersect, near point
(5, 3)
30 gallons per hour converts to 120 quarts per hour