Answer:
=3
Step-by-step explanation:
Combine like terms 3-6x=-15
Subtract 3 from both sides of the equation -6x=-18
divide both sides by 6 x=3
Answer:
64 cubic metres
Step-by-step explanation:
The triangular pyramid volume formula resembles the volume formula for any other pyramid or cone:
V = A * H / 3
where:
A is the area of the pyramid's base
H is the height from the base to the point
In other words: the volume of a triangular pyramid is one-third of the product of the base area and the pyramid's height.
8 x 6 / 2 to find area of base = 24
x 8 = 192
192 / 3 = 64
Hope this makes sense. If you would like, I can l1nk to a very useful website, or I can explain it further.
- profparis
Answer:
The last one.
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
Answer:
The approximate value of the area is 
Step-by-step explanation:
we know that
The area of the circle (landing pad) is equal to
we have
substitute
----> exact value of the area
Find the approximate value
assume 
------> approximate value of the area
