Step-by-step explanation:
open brackets
5z+20-13=2z+19
5z+7=2z+19
3z=12
z=4
Answer:
12762.72 cubic meters
Step-by-step explanation:
The volume of a cylinder is denoted by the formula:
, where r is the radius and h is the height.
Here, we see that the height h = 11.5 m. We also see that the diameter is 37.6 meters. Since diameter = 2 * radius, we can divide this number by 2 to get the radius: r = 37.6/2 = 18.8 meters.
Now substitute these values into the equation:
cubic meters
Hope this helps!
Answer:
Perimeter: 26 units
Area: 24 units²
Step-by-step explanation:
12 + 9 + 5 = 26
A = 1/2BH
A = 1/2 12(4)
A = 1/2 48
A = 24
Answer:
16 = 3x
Step-by-step explanation
Find the diagram attached.
Perimeter = sum of all its sides
Sum of all its sides= x+x+x
Sum of all its sides = 3x
Given perimeter = 16in
Equating both;
3x = 16
x = 16/3
x = 5.33in
Hence the value of x is 5.33 and the required equation is 16 =3x
Answer:
x = 18 cm
y = 9 cm
Step-by-step explanation:
An open-top box will have minimum surface area when it is in the shape of half a cube. The whole cube would have volume 2×2916 = 5832 cm³, so its side length would be ∛5832 cm = 18 cm.
The dimensions of the box are x = 18 cm; y = 9 cm.
__
The surface area is x^2 +4xy, where y = 2916/x^2. That is, the surface area is ...
S = x^2 +11664/x
Setting the derivative to zero, we find ...
dS/dx = 0 = 2x -11664/x^2
x^3 = 5832 . . . . . . . . may look familiar
x = ∛5832 = 18
y = 2916/18^2 = 9