If x represents the length of the box, then 42-x will be the girth. Since the largest area for a given girth is that of a square, the side length of the square cross section is (42 -x)/4.
The volume as a function of package length is then
.. v(x) = x((42-x)/4)^2
This has a maximum at x=14. The corresponding volume is 686 in^3.
First put the words in an algebraic format or a model. D = 3.5(√H). Now determine what the question is asking. It's height. Plug in the value of D. Distance is 35 km.
35 = 3.5(√H) We want to get H by itself. First thing to get away from it is 3.5. So divide 35 by 3.5 And 3.5(√h) by 3.5.
10 = √H To get rid of √ do the opposite raise to the power of 2
10² = (√H)²
100 = H
You must be 100 kilometers above ground to see 35 kilometers
Answer:
μ−2σ = 1,089.26
μ+2σ = 1,097.62
Step-by-step explanation:
The standard deviation of a sample of size 'n' and proportion 'p' is:
If n=1139 and p =0.96, the standard deviation is:
The minimum and maximum usual values are:
Answer:
10.2 cm²
Step-by-step explanation:
regular hexagon made up of six equilateral triangles
A = (2 × 1.7) /2 × 6 = 10.2
or by the side length
A = 3√3/2 * 2² = 10.3
