<span> the answer is C. The ratio of the perimeter of figure A to the perimeter of figure B equals the ratio of any side of figure A to its corresponding side in figure B.</span>
Answer: 26.67
Step-by-step explanation: multiply 20 and 4/3
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:
(7,-2)
Step-by-step explanation:
First, you move to the right of y-axis like 5 to 7,
then you movie to the up of x-axis like -5 to -2.
So the answer was (7,-2)
Answer:
20 in³
Step-by-step explanation:
Area of a triangle is half the base times the perpendicular height:
A=0.5bh
=0.5*10*4
=20
