Answer:
Two letters that don't appear is q and z.
Answer:
Which point would map onto itself after a reflection across the line y = -x? ... What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the ... A triangle has vertices at R(1, 1), S(-2, -4), and T(-3, -3). ... Which shows the image of quadrilateral ABCD after the transformation R0, 90°? a.
Step-by-step explanation:
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
6 holes in 24 mins.
1 hole in 4 mins.
54 × 4= 216
41 × 4= 164
216-164= 52
So it would take 52 more minutes.
Rewrite the decimal number as a fraction with 1 in the denominator
0.225=0.22510.225=0.2251
Multiplying by 1 to eliminate 3 decimal places, we multiply top and bottom by 103 = 1000
0.2251×10001000=2251000
