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.
0.25r-0.125+0.5r=0.5r
0.75r-0.125=0.5r
-0.125= -0.25r
r=0.5
Answer: 4
Step-by-step explanation:
I think the answers correct because, If they give us pactricia's age and it's 23, then we have to subtracct 7 and divide by 4. First of all 23 minuts 7 equals 16, then we divide 16 by 4 and that equals 4 and you got your answer.
Hope This Helps!
The answer is 32, depending on how you do the math will be different outcomes
Answer:
sin^2α
Step-by-step explanation:
I will just pose x instead of alpha here to make things simpler
we know that sin^2x = 1 - cos^2x so...
we can rewrite using trigonometric identities (tan = sin/cos)...
