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.
So, it says x + y = -2
we just plug in the numbers so,
2 + - 4 = -2
This equation is true and can also be written as
2 - 4 = -2
It also then says that 2x - y = 8
Again, you just plug in the numbers
2 * 2 - (-4) = 8
This equation is true and can also be writen as,
2*2 + 4 = 8
Answer:
First of all this question makes no complate sense if this was in real life. But the answer is: Allen is 23 years old and Jim woukd be 12 1/2 years old.
Step-by-step explanation:
Because 20+3=23. That's because it said in 3 years. Tthen we divide by 2 to find Jim's age. That's because it said that in three years, Allen would be twice as old as Jim.
