Answer:
<em>The values are a=6, b=8</em>
Step-by-step explanation:
<u>System of Equations</u>
We are given the system of equations:
ax - by = 4
bx - ay = 10
And it's known the solutions are: x=2, y=1.
Plugging in the solutions:
2a - b = 4 [1]
2b - a = 10 [2]
Now we have to solve the system above. Multiply [1] by 2:
4a - 2b = 8
Now we add with [2]:
3a = 18
a = 18/3 = 6
a = 6
From [2]:
2b - 6 = 10
2b = 16
b = 16/2 = 8
b = 8
The values are a=6, b=8
Answer:
Translation and a rotation 90 degrees
Step-by-step explanation:
1) We calculate the volume of a metal bar (without the hole).
volume=area of hexagon x length
area of hexagon=(3√3 Side²)/2=(3√3(60 cm)²) / 2=9353.07 cm²
9353.07 cm²=9353.07 cm²(1 m² / 10000 cm²)=0.935 m²
Volume=(0.935 m²)(2 m)=1.871 m³
2) we calculate the volume of the parallelepiped
Volume of a parallelepiped= area of the section x length
area of the section=side²=(40 cm)²=1600 cm²
1600 cm²=(1600 cm²)(1 m² / 10000 cm²=0.16 m²
Volume of a parallelepiped=(0.16 m²)(2 m)=0.32 m³
3) we calculate the volume of a metal hollow bar:
volume of a metal hollow bar=volume of a metal bar - volume of a parallelepiped
Volume of a metal hollow bar=1.871 m³ - 0.32 m³=1.551 m³
4) we calculate the mass of the metal bar
density=mass/ volume ⇒ mass=density *volume
Data:
density=8.10³ kg/m³
volume=1.551 m³
mass=(8x10³ Kg/m³ )12. * (1.551 m³)=12.408x10³ Kg
answer: The mas of the metal bar is 12.408x10³ kg or 12408 kg
Can you please put a picture of it or write out one of the problems. Thanks!!!
Answer:
There should be a picture of a bar chart, attach it so i can answer the question.
Step-by-step explanation:
PLease mark as brainliest lol
