Answer:
Answer
Let height =h
Total surface area=2πr(r+h)
r=7cm
⇒968=2×
7
22
×7(7+h)
⇒
44
968
=7+h
⇒h+7=22
⇒h=22−7
=15cm.
Step-by-step explanation:
Answer:
he spent $16.5
Step-by-step explanation:
A. Write a function f(x) to represent the price after the 80% markup.
<span>b. Write a function g(x) to represent the price after the 25% markdown. </span>
<span>c. Use a composition function to find the price of an item after both price adjustments that originally costs the boutique $150. </span>
<span>d. Does the order in which the adjustments are applied make a difference? Explain.
</span>
answers
<span>a) f(x) = 1.8x
b) f(x) = 0.75(1.8x)
c) f(150) = 0.75(1.8(150) = $202.50
d) No, it doesn't matter. The result is the same.
</span>
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:
0.733 repeating
Step-by-step explanation:
use your calculator
