Brendan has 75 stamps in his collection. He puts 8 stamps on each page in his album. How many more stamps does he need to fill 1
1 answer:
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Answer:
15 units
Step-by-step explanation:
ΔABC is right with ∠C = 90° and AB the hypotenuse
using Pythagoras' identity on the triangle
AB² = AC² + BC² , hence
BC² = AB² - AC² = 17² - 8² = 289 - 64 = 225
⇒BC = = 15 units
The volume of a box is the amount of space in the box
The dimensions that minimize the cost of the box is 4 in by 4 in by 4 in
<h3>How to determine the dimensions that minimize the cost</h3>The dimensions of the box are:
Width = x
Depth = y
So, the volume (V) is:
The volume is given as 64 cubic inches.
So, we have:
Make y the subject
The surface area of the box is calculated as:
The cost is:
--- the base is twice as expensive as the sides
Substitute
Differentiate
Set to 0
Multiply through by x^2
Divide through by 4
Add 64 to both sides
Take the cube roots of both sides
Recall that:
So, we have:
Hence, the dimensions that minimize the cost of the box is 4 in by 4 in by 4 in
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