Answer:
Dimensions 30 in x 30 in x 15 in
Surface Area = 2,700 in²
Step-by-step explanation:
Let 'r' be the length of the side of the square base, and 'h' be the height of the bin. The volume is given by:
The total surface area is given by:
Rewriting the surface area function as a function of 'r':
The value of 'r' for which the derivate of the surface area function is zero, is the length for which the area is minimized:
![A=54,000*r^{-1}+r^2\\\frac{dA}{dr}=0= -54,000*r^{-2}+2r\\\frac{54,000}{r^2}=2r\\ r=\sqrt[3]{27,000}\\r=30\ in](https://tex.z-dn.net/?f=A%3D54%2C000%2Ar%5E%7B-1%7D%2Br%5E2%5C%5C%5Cfrac%7BdA%7D%7Bdr%7D%3D0%3D%20-54%2C000%2Ar%5E%7B-2%7D%2B2r%5C%5C%5Cfrac%7B54%2C000%7D%7Br%5E2%7D%3D2r%5C%5C%20r%3D%5Csqrt%5B3%5D%7B27%2C000%7D%5C%5Cr%3D30%5C%20in)
The value of 'h' is:
The dimensions that will ensure the minimum surface area are 30 in x 30 in x 15 in.
The surface area is:
Answer: 25
5^6/5^4
Simplify the expression
5^2
= 25
Answer:
The base and height of the garden are 4.60 ft and 5.60 ft.
Step-by-step explanation:
The area of the garden is, <em>A</em> = 24 ft².
The base height of the garden are:
base (<em>b</em>) = 6x - 4
height (<em>h</em>) = x + 3
Compute the value of <em>x</em> as follows:
The last equation is a quadratic equation.
Compute the roots of the quadratic equation as follows:
The value of base and height are:
Thus, the base and height of the garden are 4.60 ft and 5.60 ft.
Answer:
8:15 pm
Step-by-step explanation:
A concert starts by 7:00pm
They perform for 30 minutes
There is a 15 minutes break
The band performs for another 30 minutes
Hence the concert will end by 8:15 pm
