Answer:
Side of square bottom=6.46 m
Height of box=4.31 m
Step-by-step explanation:
Let s be the side bottom
Height of box=h
Volume of box=
Volume of box=
Cost of bottom=$40 per square m
Cost of sides =$30 per square m
Total cost=
Differentiate w.r.t s
Again,differentiate w.r.t s
Substitute s=6.46
Hence, the cost is minimum at s=6.46
Side of square bottom=6.46 m
Height of box=4.31 m
⇒ Solutions
<span>To solve the given problem you first have to plug all the numbers in....
324 m</span>²<span> is the SA so 324 m</span>²<span> = 2[(5m </span>× <span>12m) + (5m </span>× <span>h) + (12m </span>× <span>h)]
You want to find the variable h so first start by dividing 342 by 2 which will make your equation simpler to solve.
= 162 m</span>²<span> = (5m </span>× <span>12m) + (5m </span>× <span>h) + (12m </span>× <span>h)
Multiply your "lw" together 5m </span>× <span>12m = 60m</span>²<span> and you have
162 m</span>² <span>= 60 m</span>²<span> + (5m </span>× <span>h) + (12m </span>× <span>h)
You can subtract 162 m</span>²<span> by 60 m</span>²<span> leaving 102 m</span>²<span> = (5m </span>× <span>h) + (12m </span>× <span>h)
Then combine your like terms of h....5m </span>× <span>h + 12m </span>× <span>h = 17m </span>× <span>h so you now have
102m</span>²<span> = 17m </span>× <span>h and to get (h) by itself to solve for it you can then divide by 17 leaving 6m = (h) making your height equal 6 meters.
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(SA/2 - lw) = (h(l+w) ...... Subtract terms not containing (h)
(SA/2 - lw) ÷ <span>(l+w) = (h) ..... Divide by the coefficient of (h) </span>
(324/2 - 5 × 12) ÷ <span>(5+12) = (h) ... Plug in the numbers
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(162 - 60) ÷ <span>17 = (h) = 6 ... Answer </span>
Slope: 3/4
y: (0,-3)
X: (4,0)
It would be in a radius between 6*200 and 8*200
Answer:
19657
Step-by-step explanation:
By PEMDAS, we know we have to calculate the exponents first, then multiply the 2, and then subtract the 7³
2*10⁴ = 20000
20000 - 7³ = 19657
This is the third time I've seen this question. Are you posting this question again and again?