Answer:
5in by 5in by 5in
Step-by-step explanation:
We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.
Given
Volume = 125in³
Formula
V = w²h ..... 1
S = 2w²+4wh ..... 2
w is the side length of the square base
h is the height of the prism
125 = w²h
h = 125/w² ..... 3
Substitute eqn 3 into 2 as shown
S = 2w²+4wh
S = 2w²+4w(125/w²)
S = 2w²+500/w
To minimize the surface area, dS/dw = 0
dS/dw =4w-500/w²
0= 4w-500/w²
Multiply through by w²
0 = 4w³-500
-4w³ = -500
w³ = 500/4
w³ =125
w = cuberoot(125)
w = 5in
Get the height
125 =w²h
125 = 25h
h = 125/25
h = 5in
Hence the dimension of the prism is 5in by 5in by 5in
Answer:
The overview of the given situation is described in the explanation segment below.
Step-by-step explanation:
- By the details received, the reference variable becomes actual prevalence or occurrence of another virus whereas the descriptive variable becomes precipitation 'Precipitation compensated for 79% throughout variability with prevalence.'
As we know that the determination's coefficient will be:
⇒ 
(Percent of variance in the answer variable described by the explanatory variable).
Now the correlation among the two variables will be:
As we know,
⇒ 
⇒ 
⇒ 
⇒ 
Answer: £84
Explanation:
84-70=14
14*6=84
6:1
84:14
Cos y = 16 / 17.89 = 0.8944
y = cos^-1 (0.8944) = 26.57°
tan 26.57 = BA / 17.89
BA = 17.89 tan 26.57 = 8.95
tan x = 17.89 / 8.95 = 1.999
x = arctan 1.999 = 63.43
sin x = sin 63.43 = 0.8944
