Answer:
x^2 + 18x + 81
Step-by-step explanation:
(x+9) (x+9)
then distributive property
Answer:
40/8
Step-by-step explanation:
40 divided by 8 is 5.
The way you can check this is by multiplying 8*5
Basically what number times 8 will equal 40
ANSWER: 1.562
move the decimal point of 0.0034 to the right to make it a whole number which is 34. Then multiply 34 times 430 which is 15,620.
move the decimal point (which is at the end) 4 times to the left
the answer will be 1.562
Geometric mean =x=<span>√(5 × 20)
=</span>√100
=10
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
__
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.