Answer:
si
Step-by-step explanation:
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.
3x - (2x + 8) = -6
3x -2x - 8 = -6
x - 8 = -6
x - 8 + 8 = -6 + 8
x = 2
Answer:
y = -2x - 4
Step-by-step explanation:
So we have the x intercept and a line perpendicular to the one we are trying to find.
Perpendicular deals with the slope. Perpendicular slopes are negative reciprocals of each other, or in other words, if the slope is m the negative reciprocal is -1/m.
the slope of the perpendicular line is 1/2 so that means the negative reciprocal is -2.
x intercept is when y=0, so the point is (-2, 0). So that means the equation to make this point with the slope of -2 will look like this
y = mx + b
0 = -2*-2 + b
-4 = b
Now to get into the line we just plug in m and b into y = mx + b
y = mx + b
y = -2x - 4
And to check if you plug in -4 you'll get y = 0
The perimeter is 2+2+6+6+3+3+3+3+3+3+3+3=40, the perimeter is 40 inches
