Answer:
1. 44.8
2. 9.6
3. 61.11
4. 50.41
5. 169
12. 300
13. 1.44
14. id k
15. a. 21
b. 28
c. 35
d. 31.5
Step-by-step explanation:
sry abt the stuff i didn't answer, i couldn't find the answer
Answer:
54 3/4
Step-by-step explanation:
18*3=54
1/4*3=3/4
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:
35.6047 inches
Step-by-step explanation:
The wiper blade moves in a circular way, where the radius is 30 inches.
To find how far the bug travelled, we just need to use a rule of three, where the length of the circunference relates to a angle of 360 degrees:
360 degrees -> 2 * pi * radius
68 degrees -> distance
distance * 360 = 2 * pi * radius * 68
distance = 2 * pi * 30 * 68 / 360 = 35.6047 inches
Let
x-----------> <span>the first number
y-----------> </span><span>the second number
we know that
x*y=x-----------> y=x/x----------> y=1
and x+y=y------> x=y-y---------> x=0
the answer is
</span> the first number is 0
the second number is 1<span>
</span>
