Answer:
x > 31
Step-by-step explanation:
Given
- 5x + 5 > 160 - 10x ( add 10x to both sides )
5x + 5 > 160 ( subtract 5 from both sides )
5x > 155 ( divide both sides by 5 )
x > 31
The value of ∠EOF is 75°.
Step-by-step explanation:
Let us take O be the center of the circle.
Given,
∠AOB = 45°
∠COD = 60°
To find the ∠EOF (value of x)
Now,
Since AD is the diameter of the circle, ∠AOD = 180°
∠AOB+∠COD+∠BOC = ∠AOD
Or, 45°+60°+∠BOC = 180°
or, ∠BOC = 180°-(45°+60°)
= 75°
Again,
∠BOC = ∠EOF as they are vertically opposite angle.
Hence,
∠EOF = 75°
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
The problem is really asking 5/6 divides by 1/6. This yields 5. Hope this helps!<span />
Answer:
.66 cents?
Step-by-step explanation:
i just subtracted but i feel like theres a catch
