Answer:
3:45pm
Step-by-step explanation:
the reason behind my answer is that in adding all the time they wanted to spend doing things around NYC it totaled 5 hours. 5 hours before 8:45pm is 3:45pm.
Answer:
A
Step-by-step explanation:
A
Answer:
Step-by-step explanation:
![-2\dfrac{1}{3}-1\dfrac{1}{3}=-2\dfrac{1}{3}+\left(-1\dfrac{1}{3}\right)=-\left(2\dfrac{1}{3}+1\dfrac{1}{3}\right)\\\\=-\bigg[(2+1)+\left(\dfrac{1}{3}+\dfrac{1}{3}\right)\bigg]=-\left(3+\dfrac{1+1}{3}\right)\\\\=-3\dfrac{2}{3}](https://tex.z-dn.net/?f=-2%5Cdfrac%7B1%7D%7B3%7D-1%5Cdfrac%7B1%7D%7B3%7D%3D-2%5Cdfrac%7B1%7D%7B3%7D%2B%5Cleft%28-1%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%3D-%5Cleft%282%5Cdfrac%7B1%7D%7B3%7D%2B1%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%5C%5C%5C%5C%3D-%5Cbigg%5B%282%2B1%29%2B%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%2B%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%5Cbigg%5D%3D-%5Cleft%283%2B%5Cdfrac%7B1%2B1%7D%7B3%7D%5Cright%29%5C%5C%5C%5C%3D-3%5Cdfrac%7B2%7D%7B3%7D)
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
