Answer:
5.44 cm³
Step-by-step explanation:
The volume of the hexagonal nut can be found by multiplying the area of the end face by the length of the nut. The end face area is the difference between the area of the hexagon and the area of the hole.
The area of a hexagon with side length s is given by ...
A = (3/2)√3·s²
For s=1 cm, the area is ...
A = (3/2)√3(1 cm)² = (3/2)√3 cm²
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The area of a circle is given by ...
A = πr²
The radius of a circle with diameter 1 cm is 0.5 cm. Then the area of the hole is ...
A = π(0.5 cm)² = 0.25π cm²
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The volume is the face area multiplied by the length, so is ...
V = Bh = ((3/2)√3 -0.25π)(3) . . . . . cm³
V = (9/2)√3 -0.75π cm³ ≈ 5.44 cm³
The volume of the metal is about 5.44 cm³.
Answer:
2
Step-by-step explanation:
The speed depends on how hard Sam throws the ball so the dependant variable would be the speed.
You cut the pieces 2.2cm each
Answer:
11.06 meters
Step-by-step explanation:
Given that
The height of a regulation soccer goal is 2.4 meters
And, the distance is 10.8 meters
We need to find out the hypothesis
Here we applied the pythagoreans theorem
So,
= √ (2.4m) ^2 + (10.8 m) ^2
= √5.76 m^2 + 116.64m^2
h = 11.06 m
Hence, the hypothesis is 11.05 meters
parallel lines or skew lines
- Parallel lines are in Same plane or Coplanar but donot intersect each other.
- Skew lines lie in same plane but don't intersect each other.
