Answer:
See explanation
Step-by-step explanation:
Let x in be the base side length and y in be the height of the box. Since the base is a square, we have
The volume of the box is
The surface area of the box is
The graph of the function SA(S) is shown in attached diagram.
Find the derivative of this function:
Equate this derivative to 0:
So, the dimensions that produce a minimum surface area for this aluminum box are:
Answer: the length of each of the two equal sides is 25 centimeters
Step-by-step explanation:
Let x represent the length of each of the two equal sides. This means that the total length of the two longer sides is 2x.
Let y represent the length of the third side.
The perimeter of a triangle is expressed as the sum of the length of each side of the triangle. The perimeter of the isosceles triangle is 65 centimeters. It means that
2x + y = 65 - - - - - - - - - 1
Each of the equal sides is 10 centimeters longer than the third side. This means that
x = y + 10
Substituting x = y + 10 into equation 1, it becomes
2(y + 10) + y = 65
2y + 20 + y = 65
2y + y = 65 - 20
3y = 45
y = 45/3 = 15
Substituting y = 15 into x = y + 10, it becomes
x = 15 + 10 = 25
8/100, 3/5, 7/10
Explanation:
8/100 = 0.08
3/5 = 0.6
7/10 = 0.7
Answer:
x= -2
Step-by-step explanation:
-16x-8=24
−16x−8=24
−16×=32
answer x=-2
1. add 8 to both sides
2.simplify
<span>Isoscles right triangle</span>
