Answer:
the length of base and height of shed are 9 cm and 18 cm respectively.
Step-by-step explanation:
let the length of the base be = x ft ( the base is square)
and height be = y ft
given volume o the shed = 1458 cm^3
⇒ ![x^2y= 1458](https://tex.z-dn.net/?f=x%5E2y%3D%201458)
also, according to question total cost C
![C= 4x^2+6x^2+4xy\times2.5](https://tex.z-dn.net/?f=C%3D%204x%5E2%2B6x%5E2%2B4xy%5Ctimes2.5)
![C= 10x^{2}+ 10x\times y](https://tex.z-dn.net/?f=C%3D%2010x%5E%7B2%7D%2B%2010x%5Ctimes%20y)
now put y= 1428/x^2 in the above equation
![C= 10 x^{2}+\frac{14580}{x}](https://tex.z-dn.net/?f=C%3D%2010%20x%5E%7B2%7D%2B%5Cfrac%7B14580%7D%7Bx%7D)
now differentiating we get
![C'= 20 x-\frac{14580}{x^{2}}](https://tex.z-dn.net/?f=C%27%3D%20%2020%20x-%5Cfrac%7B14580%7D%7Bx%5E%7B2%7D%7D)
now set it equal to zero for most economical cost
![20 x =\frac{14580}{x^{2}}](https://tex.z-dn.net/?f=20%20x%20%3D%5Cfrac%7B14580%7D%7Bx%5E%7B2%7D%7D)
on calculating we get x= 9 cm
and y= 18 cm
therefore, the length of base and height of shed are 9 cm and 18 cm respectively.
Answer:
You should buy from the first store
Step-by-step explanation:
Since there are 4 quarts in a gallon, we will need to multiply .80 by 8 to figure out how much it costs for 2 gallons. This will be $6.40 for the second store, and in order to find out how many the first store offers, we multiply 3 by two, which is six.
So, the first store charges $6.00 for two gallons, and the second store does $6.40 for two gallons of milk
9514 1404 393
Answer:
x = 2 m
y = 30°
Step-by-step explanation:
The side lengths of ΔDEF are 3/9 = 1/3 of those of ΔABC.
x = DF = 1/3(AB) = (1/3)(6 m)
x = 2 m
__
Angle measures of ΔDEF are the same as those of the corresponding angles of ΔABC.
y = ∠B = ∠E = 30°
y = 30°