Answer:
72 / 3 = 24
Step-by-step explanation:
Equilateral means that the 3 sides are equal length. For this to happen, the triangle needs to also have 3 equal angles, but it is mentionned that it has an obtus angle, therefore, not all angles are the same, meaning the 3 sides also aren't equivalent.
the triangle isn't equilateral
Answer:
1526.8 ft ^3
Step-by-step explanation:
the volume of a cylinder formula is V=π x r^2 x h
= pi x 9^2 x 6
= pi x 81 x 6
=1526.8 ft ^3
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.
