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
__
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.
Answer:
-23.21
Step-by-step explanation:
Edge 2021
Answer:
D. d = 5
Step-by-step explanation:
d = d² - d¹
= 5 - 0
= 5
d = d³ - d⁴
= 10 - 5
= 5
d = dⁿ - dⁿ-¹
Answer:
Step-by-step explanation:
Use the Pythagorean theorem:
a and b are the legs and c is the hypotenuse. Insert the values:
Simplify exponents using the rule 
:
Simplify addition:
Find the square root:
Simplify in radical form: Find a common factor of 24 that is a perfect square:
Separate:
Simplify:
Finito.
Answer:
Step-by-step explanation:
<em>Hey there!</em>
Well if the length is 18 and 3 inches we need to find the sum of both lengths,
18ft 3in + 18ft 3in = 36ft 6in
Width- 10ft 8in + 10ft 8in = 20ft 16 in -> 21ft 4in
l + w = 57ft 10in
<em>Hope this helps :)</em>
