(x - 5)(x + 5)(2x - 1)
= (x ^ 2 - 25)(2x - 1)
= 2x ^ 3 - x ^ 2 - 50x + 25
Answer:
The answer is option b.
<h2>144π</h2>
Step-by-step explanation:
Surface area of a sphere is 4πr²
where r is the radius
diameter = radius / 2
<h3>
<u>For Big </u><u>sph</u><u>ere</u></h3>
radius = 15 / 2 = 7.5in
Surface area = 4π(7.5)²
= 225π
<h3><u>Small </u><u>sph</u><u>ere</u></h3>
radius = 9/2 = 4.5in
Surface area = 4π(4.5)²
= 81π
Difference of the surface areas is
Surface area of big sphere - surface area of small sphere
Which is
225π - 81π
<h3>= 144π</h3>
Hope this helps you.
Answer:
the dimensions of the most economical shed are height = 10 ft and side 5 ft
Step-by-step explanation:
Given data
volume = 250 cubic feet
base costs = $4 per square foot
material for the roof costs = $6 per square foot
material for the sides costs = $2.50 per square foot
to find out
the dimensions of the most economical shed
solution
let us consider length of side x and height is h
so we can say x²h = 250
and h = 250 / x²
now cost of material = cost of base + cost top + cost 4 side
cost = x²(4) + x²(6) + 4xh (2.5)
cost = 10 x² + 10xh
put here h = 250 / x²
cost = 10 x² + 10x (250/ x² )
cost = 10 x² + (2500/ x )
differentiate and we get
c' = 20 x - 2500 / x²
put c' = 0 solve x
20 x - 2500 / x² = 0
x = 5
so we say one side is 5 ft base
and height is h = 250 / x²
h = 250 / 5²
height = 10 ft
²/₉ × 3³/₄ × ¹/₃
²/₉ × ¹⁵/₄ × ¹/₃
¹/₃ × ⁵/₂ × ¹/₃
⁵/₆ × ¹/₃
⁵/₁₈