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.
Point (3,0) is system solution.
<h3>What is inequality?</h3>
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
We have
y> -2
x + y <4
First inequation:
-5> -2 (incorrect)
Second inequality:
1-5 <4 (correct)
First inequation:
0> -2 (correct)
Second inequality:
0+3 <4 (correct)
First inequation:
-2> -2 (incorrect)
Second inequality:
-1-2 <4 (correct)
First inequation:
5> -2 (correct)
Second inequality:
1+5 <4 (incorrect)
Hence, Point (3,0) is system solution.
Learn more about inequality here:
brainly.com/question/20383699
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The number is 3. The math is 5 x 3 = 15 15 - 3 = 12
First you must find X by setting the sides equal to each other. from that you know x=4 then plug that into the w/ they give you the Equation to. = 6then multiply by 2 and you get 12
-36 divided by 9 plus -5 minus 6 is equal to -15
