To use the elimination method you need the same variable in each equation to have the same coefficient. If neither variable has the same coefficient in each equation, you need to multiply one or both of the equations by a constant to get the same coefficient.
The volume of the metal box if the box was completely solid (V1), is:
V1=(12 inches)³
V1=1728 inches³
As there are 3 inches of metal on both sides, the widht if the metal box was not completely solid, is:
W=12 inches-(3 inchesx2)
W=6 inches
Then, the volumen of the no solid metal box is:
V2=(6 inches)³
V2= 216 inches³
Therefore, the volume of metal needed to smelt the cubical metal box, is:
V3=V1-V2
V3=1728 inches³-216 inches³
V3=1512 inches³
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180 for B
B = 180° - (90 + 39)° = 180° - 129° = 51°
Using the tangent and sine ratios in the right triangle for b and c
tan39° = 
= 
Multiply both sides by b
b × tan39° = 27 ( divide both sides by tan39° )
b = 
≈ 7.5 ( to the nearest tenth )
sin39° = 
= 
Multiply both sides by c
c × sin39° = 27 ( divide both sides by sin39° )
c = 
≈ 28.0 ( to the nearest tenth )
Answer:
Distance = 5
Step-by-step explanation:
√[(x₂ - x₁)² + (y₂ - y₁)²]
√[(3 - (-1))² + (-2 - 1)²]
√[4² + -3²]
√[16 + 9]
√25
5
Answer:
g/(b+ g)
Step-by-step explanation:
I have attached the solution below.
