Answer:
approximately 3.2 minutes
Step-by-step explanation:
2 hours 15 and 25 seconds translates to 75 minutes and 25 seconds and that translates to 75.41 minutes
75.41/26.2=2.8782
if you round up its 3.2 minutes
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:
Marion bought 6 frog lures and 8 lizard fishing lures.
Step-by-step explanation:
Let
represent frog lures and
represent lizard lures.
The total packages Marion bought is

If she bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures, then

We make
the subject in equation 1 and put it into equation 2 to get;

We put equation 3 into equation 2 to get;


We expand the bracket to get;



We put
into equation 3 to get;


Therefore Marion bought 6 frog lures and 8 lizard fishing lures.
.15(pi)=24-68(0) that is the answer hope it helps
Answer:184ft²
Step-by-step explanation:2(5×10)+2(4×6/2)+(6×10)
100+24+60=184
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