Answer:
2/3
Step-by-step explanation:
Answer:
(- 5, 1 )
Step-by-step explanation:
Given the translation rule
(x, y ) → (x - 2, y - 6 )
This means subtract 2 from the original x- coordinate and subtract 6 from the original y- coordinate, that is
(- 3, 7 ) → (- 3 - 2, 7 - 6 ) → (- 5, 1 )
Answer:
- INSTRUCTION FOLLOWED: <u>write the sum as a mixed number where the fractional number is less than one.</u>
5/5 out of the 7/5 make <u>ONE whole</u> while 2/5 is left over.
The <u>ONE whole</u> is added to nine to make 10 and the remaining 2/5 is also added to the 10 hence 9 7/5 = 10 2/5
Step-by-step explanation:
- INSTRUCTION FOLLOWED: <u>write the sum as a mixed number where the fractional number is less than one.</u>
5/5 out of the 7/5 make <u>ONE whole</u> while 2/5 is left over.
The <u>ONE whole</u> is added to nine to make 10 and the remaining 2/5 is also added to the 10 hence 9 7/5 = 10 2/5
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.
