Answer:
Perimeter = 19.6 cm
Area = 9.3 cm squared
Step-by-step explanation:
Perimeter: Add sides: 3.1 + 9.3 + 7.2 = 19.6
Area: 9.3 x 2 x 1/2 = 9.3
Answer:
Step-by-step explanation:
Given the expression 
.
we have to find the simplest form of the expression.
=
=
=
which is the simplest form of the given expression.
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:
8.79 + .67 = 9.46 total tax
Step-by-step explanation:
97.62 + 22.95 + 14.78 = 135.35
135.35 * .065 = 8.79 state
135.35 * .005 = .67 county
8.79 + .67 = 9.46 total tax
