Answer:
The perimeter is 54 square units
Step-by-step explanation:
You find the sum of 12+12 and that's 24, and 15+15, and that is 30, and 30+24 is 54.
Hope this helped!
Answer:
about 78.539 meters. smallest diameter = 50. plug that into the equation C = πd
Step-by-step explanation:
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
Answer:
B
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order. If there is no exact middle value then it is the average of the values either side of the middle.
1, 3, 6, 8, 9, 9
↑ middle
median =
=
= 7 → B
If you divide each number, 6:9, by 3 you will get the simpliest form. My answer will have to be B. 2:3