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.
There is a total of $35,000 worth of prizes being given out for 5,000 tickets. We can find the expected value for each ticket by dividing 35,000/5,000. This equals $7.00.
Answer:
when he went to the store did he come back ? lol
Step-by-step explanation:
if you dont get the joke, im disappointed
Answer:
Hmmm What about the pair of skew lines lol
Step-by-step explanation:
Could you add more details/options !!!!
-I'd be glad to help <3 !!!!
<span>Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. i hope this helps you</span>
