Answer:
<em>17 miles</em>
Step-by-step explanation:
If Heidi starts out by traveling 15 miles south, then y = -15 miles
If she then turns and rides 8 miles east, then x = +8miles
The distance from her starting position to her tent is gotten using the pythagoras theorem as shown;
d = √(-15)²+8²
d = √225+64
d = √289
d = 17miles
<em>Hence her distance from her starting position to her tent is 17 miles</em>
Answer:
see explanation
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (6, 5) and (x₂, y₂ ) = (- 3, 1)
d = 
= 
= 
= 
≈ 9.85 ( to 2 dec. places )
Answer:
V =91.125 in ^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V= 4.5 ^ 3
V =91.125 in ^3
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
