Answer:
x = 8 ft
h = 1/2 ft
Step-by-step explanation:
Let x be side of the base then area of the base is x²
Let h be the height of the tank
Tank volume is 32 ft³ and is 32 = x²*h then h = 32 /x²
Area of base + lateral area = total area (A)
A = x² + 4*x*h ⇒ A = x² + 4*x*(32/x²) A = x² + 128/x
A(x) = x² + 128/x (1)
Taking derivatives on both sides of the equation
A´(x) = 2x - 128/x² A´(x) = 0 2x - 128/x² = 0
(2x² -128) / x² = 0
2x² - 128 = 0
x² =√64
x = 8 ft
The result is minimum since replacing in equation (1) x = 8 we get
A(x) > 0
And
h = 32/x²
h = 1/2 ft
The square root of 98 is 9.899<span> so I think if it was rounded to the nearest tenth it would be 9.9</span>
Answer:
$159.9
Step-by-step explanation:
5/50=.10 cents
.10•1599=159.9
Answer $159.90
For number 9 just take the two functions and multiply or add them I can’t tell what sign that is
Answer:
Step-by-step explanation:
( 8 - 4i ) ( 5i - 2 )
Use the distributive property to multiply each term of the first binomial by each term of the second binomial.
⇒
⇒
Combine like terms.
Like terms are those which have the same base.
⇒
⇒
Hope I helped!
Best regards!
~TheAnimeGirl