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:
16/25
Step-by-step explanation:
64% =
64/100 =
16/25
Answer:
PEMDAS Answer:A
Step-by-step explanation:
parentheses exponents multiplication division addition and subtraction in order
Answer:
n = 13
Step-by-step explanation:
The sum of the measures of the interior angles of an n-sided polygon is
(n - 2)180
Set (n - 2)180 equal to 1980 and solve for n.
(n - 2)180 = 1980
Divide both sides by 180.
n - 2 = 11
Add 2 to both sides.
n = 13
H = V/bl. You just cross multiply
