Answer:
Step-by-step explanation:
number 2
Answer: question 2 b = $3.5992
question 2 c = $48.5892 or you can write $48.58
thats how much i know i dont know about the rest sorry
i will try them out and come back to you if i find an answer
Step-by-step explanation:
Answer:
80, 40, 40
Step-by-step explanation:
The rule is if the number before the tens place is 5 or more round up and if it is 4 or less round down.
I like to look at it without the rule and what makes sense.
82.14: my choices are 80 or 90. What number is 82.14 closer to on the number line? 80.
38.5 The choices are 30 and 40. This number on a number line would be closer to 40
41.3 The choices are 40 and 50. On a number line this number would be closer to 40.
Answer:
b = 4.6 ft
h = 2.3 ft
Step-by-step explanation:
The volume of the tank is given by:
![b^2*h=49](https://tex.z-dn.net/?f=b%5E2%2Ah%3D49)
Where 'b' is the length of the each side of the square base, and 'h' is the height of the tank.
The surface area can be written as:
![A=b^2+4bh\\A=b^2+4b*({\frac{49}{b^2}})\\A=b^2+\frac{196}{b}](https://tex.z-dn.net/?f=A%3Db%5E2%2B4bh%5C%5CA%3Db%5E2%2B4b%2A%28%7B%5Cfrac%7B49%7D%7Bb%5E2%7D%7D%29%5C%5CA%3Db%5E2%2B%5Cfrac%7B196%7D%7Bb%7D)
The value of b for which the derivate of the expression above is zero is the value that yields the minimum surface area:
![\frac{dA}{db} =0=2b-\frac{196}{b^2}\\2b^3=196\\b=4.61\ ft](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdb%7D%20%3D0%3D2b-%5Cfrac%7B196%7D%7Bb%5E2%7D%5C%5C2b%5E3%3D196%5C%5Cb%3D4.61%5C%20ft)
The value of h is then:
![h=\frac{49}{4.61^2}\\h=2.31\ ft](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B49%7D%7B4.61%5E2%7D%5C%5Ch%3D2.31%5C%20ft)
Rounded to the nearest tenth, the dimensions are b = 4.6 ft and h = 2.3 ft.