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:
The length of GH is half the length of KL.
Full question...
To prove part of the triangle midsegment theorem using the diagram, which statement must be shown?
The length of JK equals the length of JL.
The length of GH is half the length of KL.
The slope of JK equals the slope of JL.
The slope of GH is half the slope of KL.
So once again the answer is the second one: The length of GH is half the length of KL.
Im not sure but
(sarah + tara)/2 = 8
(20 + tara)/2 = 8
20 + tara = 16
tara = 4hours ?? it doesn’t make logical sense but this is the only way i can think of
sorry if this wasn’t helpful ;-;
3.5m + 2.5 = 79.5 is the equation that could be used to determine m, the number of miles in the taxi ride.
Given in question,
Pick-up fee = $2.50
Fee per mile = $3.50
Total fare = $79.50
Let the no. of miles = m
Fee for m miles = 3.50m
Equation, 3.50m + 2.50 = 79.50.
Hence, the equation is 3.50m + 2.50 = 79.50.
To learn more about equation here:
brainly.com/question/14686792
#SPJ1
As an overview, an arithmetic series has a common difference (d) while a geometric series has a common ratio (r). Common difference is calculated by subtracting two consecutive numbers. Common ratio is calculates by dividing two consecutive numbers.
1.) Geometric series (r = 1/2)
2.) Neither
3.) d = 3
19 - 16 = 3; 22 - 19 = 3; 25 - 22 = 3
4.) d = 2.8
5.8 - 3 = 2.8; 8.6 - 5.8 = 2.8; 11.4 - 8.6 = 2.8
5.) r = 4
24/6 = 4; 96/24 = 4; 384/96 = 4
6.) r = 4
12/3 = 4
