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
In order to solve this equation, first we
must find the area of the entire circle and then we must find the area that the
people like to plant with flowers. So the angle formed between 2 rock paths is
180 degrees. I am hoping that this answer has satisfied your query about this
specific question.
Principal, P = $80
monthly interest, i = 5%/12 = 0.05/12
Number of periods, n = 3*12 = 36
Interest earned after three years,
I = P((1+i)^n-1)
=80((1+0.05/12)^36-1)
=12.92 (to the nearest cent.
Basically what this is, is:
100% = 100/100
Basically, to get the fraction, you just set the denominator as 100 and move the percentage up. You can then multiply by as many powers of 10 as needed or simplify the fraction as many times as needed.
Ex:
78.7% = ?/100
Just put 78.7 into that question mark spot to get:
78.7/100 = 78.7%
Now, you multiply the whole thing by 10/10:
787/1000
So that's your fraction.
29% = ?/100
Then it would be,
29/100.
55.8%: 558/1000, you could simplify that by dividing both the numerator and denominator by 2, and you would get 279/500.
28.2%: 282/1000, simplify that: 141/500
82%: 82/100, 41/50
74%: 74/100, 37/50
91.8%: 918/1000, 459/500
72%: 72/100, 18/25
129%: 129/100
15.8%: 158/1000, 79/500
24.3%: 243/1000
93%: 93/100
