Answer:
39.53 ft^2
Step-by-step explanation:
We can find the area of the rectangle
A = l*w
= 12*3 = 36
And the area of the semicircle
A = 1/2 pir^2
The diameter is 3, the radius is 3/2
=1/2 pi* (3/2)^2
= 1/2 *3.14 * 9/4
3.5325
Add the two areas together
36+3.532539.5325
Rounding to the nearest hundredth
39.53 ft^2
Answer: wdym? do u need any help
Step-by-step explanation:
Answer:
33/5
Step-by-step explanation:
6 3/5 = 33/5
6 x 5 = 30
30 + 3 = 33
33/5.
Answer:
2.29 ft of side length and 1.14 height
Step-by-step explanation:
a) Volume V = x2h, where x is side of square base and h is hite.
Then surface area S = x2 + 4xh because box is open.
b) From V = x2h = 6 we have h = 6/x2.
Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.
We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.
Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.
To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.
And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2
Answer:
29
/12 or 25
/12 or 2.4166667
Step-by-step explanation:
1/2 + 2/3 + 5/4