Answer:
z=9.7
Step-by-step explanation:
3z + 8 - 2 = -35
Subtract 6 from both sides
3z=29
divide 3 from both sides
z=9.7
9514 1404 393
Answer:
4π m
Step-by-step explanation:
The area is given by ...
A = πr²
Then the radius is ...
r = √(A/π) = √(4π/π) = 2 . . . . meters
The circumference is ...
C = 2πr
C = 2π(2 m) = 4π m
The circumference of the circle is 4π meters.
Answer:
16
Step-by-step explanation:
$4.35 x 15 hr = $65.25
$100 - $ 65.25 = $34.75
$34.75 / $2.2 = 15.79 bushels
round up to 16
16 x 2.20 = $35.20
Answer: The surface is (4*n + 2)*L^2
Step-by-step explanation:
The surface of a cube is equal to 6 times the area of one of the sides.
So if the sides of the cube have a length L, we have that the area of one face is L^2, and the surface of the cube is 6*L^2
Now, if we put n of those cubes in a tower, we will have a shape were the bottom and the top still have an area of L^2, then the total area of the bottom and the top is 2*L^2
But each one of the sides has two sides of length L, and two sides of length n*L (n times the length of one of the sides), then the area of each side is equal to n*L*L = n*L^2
and we have 4 sides, then the total area of the sides is 4*n*L^2
Then the total surface of the tower is:
A = 4*n*L^2 + 2*L^2 = (4*n + 2)*L^2
Answer:
125%
Step-by-step explanation:
In this kind of question, we could choose any arbitrary value for the length of the side of the square.
Let’s say the square is 10m in length, a 50% increase in the length means we add 5 to the original length making the new length to be 15m.
The area of a square is L^2
The former area is 10 * 10 = 100 while the new area is 15 * 15 = 225
The percentage increase is calculated as follows:
We simply subtract the old from the new to yield 225 - 100 = 125
The percentage increase would now be :
125/100 * 100 = 125%
