Pythagorean Theorem: a^2+b^2=c^2
(9)^2 + b^2 = (23)^2
81 + b^2 = 529
b^2 = 529 - 81
b^2 = 448
b^2 =

b = 21.2
The surface area of a cylindrical can is equal to the sum of the area of two circles and the body of the cylinder: 2πr2 + 2πrh. volume is equal to π<span>r2h.
V = </span>π<span>r2h = 128 pi
r2h = 128
h = 128/r2
A = </span><span>2πr2 + 2πrh
</span>A = 2πr2 + 2πr*(<span>128/r2)
</span>A = 2πr2 + 256 <span>π / r
</span><span>
the optimum dimensions is determined by taking the first derivative and equating to zero.
dA = 4 </span>πr - 256 <span>π /r2 = 0
r = 4 cm
h = 8 cm
</span><span>
</span>
Answer:
b,d,e,g
Step-by-step explanation:
Answer:
A h+p ≤15
50h+500p ≥ 2500
Step-by-step explanation:
h = headphone and
p = pianos
We can only ship a maximum of 15 total
h+p ≤15
We must sell at least 2500 dollars of product. Headphones are 50 and pianos are 500
50h+500p ≥ 2500