9514 1404 393
Answer:
(9√3 -3π/2) ft^3 ≈ 10.88 ft^3
Step-by-step explanation:
The area of the hexagon is given by the formula ...
A = (3/2)√3·s^2 . . . . for side length s
The area of the hexagonal face of this solid is ...
A = (3/2)√3·(2 ft)^2 = 6√3 ft^2
__
The area of the circular hole in the hexagonal face is ...
A = πr^2
The radius is half the diameter, so is r = (2 ft)/2 = 1 ft.
A = π(1 ft)^2 = π ft^2
Then the area of the "solid" part of the face of the figure is ...
A = (6√3 -π) ft^2
__
The volume is ...
V = Bh . . . . . where B is the area of the base of the prism, and h is its height
V = ((6√3 -π) ft^2)(3/2 ft) = (9√3 -3π/2) ft^3 ≈ 10.88 ft^3
Step-by-step explanation:
We know that we have the formula that F = ma
Given
Force (F) = 7.5 N
Acceleration (a) = 15 m/s²
Mass (m) = ?
Now
F = ma
7.5 = m * 15
m = 7.5/ 15
Mass = 0.5 kg
Start by calculating minutes until 4:00. So, from 3:16 to 3:20, there is 4 minutes, then from 3:20 to 4:00 there is 40 minutes. 44 minutes total. Then, from 4:00 to 6:00 there is 2 hours. The total time he is at the party is 2 hours and 44 minutes.
Answer:
The circumference is 155.49 unit
Step-by-step explanation:
First we need to know the formulas of the area and the perimeter
π = 3.14
a = 1926.5 u²
a = π * r²
p = 2 π * r
First we have to clear the r
a = π * r²
r = √(a * π)
r = √(1926.5 / 3.14)
r = √613.535
r = 24.76
Now that we got r we can calculated the perimeter
p = 2 π * r
p = 2 * 3.14 * 24.76
p = 155.49
