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Ivahew [28]
3 years ago
13

3(x−0.2)=1.8+x find x

Mathematics
1 answer:
bonufazy [111]3 years ago
8 0

Answer:

x=6/5

Step-by-step explanation:

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Metal Fabrication If an open box is made from a tin sheet 10 in. square by cutting out identical squares from each corner and be
MrRa [10]

Answer:

  • ength (l) : (10-2*5/3) = 20/3
  • width(w): (10 - 2*5/3) = 20/3
  • height(h): 5/3

Step-by-step explanation:

Let x is the side of identical squares

By cutting out identical squares from each corner and bending up the resulting flaps, the dimension are:

  • length (l) : (10-2x)
  • width(w): (10-2x)
  • height(h): x

The volume will be:

V = (10-2x) (10-2x) x

<=> V = (10x-2x^{2}) (10-2x)

<=> V = 100x -20x^{2} - 20x^{2} + 4x^{3}

<=> V = 4x^{3}  - 40x^{2} + 100x

To determine the dimensions of the largest box that can be made, we need to use the derivative and and set it to zero for the maximum volume

dV/dx = 12x^{2} -80x + 100

<=>  12x^{2} -80x + 100 =0

<=> x = 5 or x= 5/3  

You know 'x' cannot be 5 , because if  we cut 5 inch squares out of the original square, the length and the width will be 0. So we take x = 5/3

=>

  • length (l) : (10-2*5/3) = 20/3
  • width(w): (10 - 2*5/3) = 20/3
  • height(h): 5/3
6 0
3 years ago
On the coordinate plane below, quadrilaterals TRAP and HELP are similar to each other.
Aleks04 [339]

Answer:Quadrilateral TRAP has an area that is one-fourth the area of quadrilateral

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Last question please help((: #10
GrogVix [38]
We would use the sine function because we have an angle the hypotenuse, and the unknown opposite side.

sin(x)=opposite/hypotenuse
sin(60)=x/30
√3/2=x/30 (cross multiply)
30*√3/2=x (divide numerators and denominators by 2)
x=15√3 ft. 
So the correct answer is A

Hope this helps
6 0
3 years ago
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Friend of mine needs an explanation of this problem.
horsena [70]
Hope u find some help
8 0
2 years ago
What is the domain for f(x) =26-2x?
anastassius [24]
Domain of f = R .............
7 0
2 years ago
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