Surface area of box=1200 cm²
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
= the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>
<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>
by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>
<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000
v=4000</span>
-5.9, -4.6, -1/4, 1/2, 1.75, 2, 18, 21.
Answer:
46°
Step-by-step explanation:
Since the 3 sides are given we can use any of the 3 trig. ratios to solve.
Using the tangent ratio in the right triangle
tan ? = 
= 
, thus
? = 
( ) ≈ 46° ( to the nearest degree )
95% have a systolic blood pressure between 109 and 141
Empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are within three standard deviation from the mean.
Given that mean (μ) = 125, standard deviation (σ) = 8.
68% are within one standard deviation = μ ± σ = 125 ± 8 = (117, 133)
95% are within two standard deviation = μ ± 2σ = 125 ± 2*8 = (109, 141)
95% have a systolic blood pressure between 109 and 141
Find out more on empirical rule at: brainly.com/question/10093236
Answer:
√22
Step-by-step explanation:
