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Ahat [919]
3 years ago
11

Mass of Weight(C)

Mathematics
1 answer:
Stolb23 [73]3 years ago
3 0
I hope this helps
A.1,512
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A closed box is constructed of 4200cm2 of cardboard. The box is a cuboid, with height hcm and square base of side xcm . What is
inysia [295]

Answer:

x is 10\sqrt{7}

Step-by-step explanation:

  • Let x is the side of the base
  • Let h is the height

Given that:

  • The area A = 4200 cm2

<=> 2x^{2} + 4xh = 4200 cm2

<=> 4xh = 4200 - 2x^{2}  

<=> h = (4200 - 2x^{2}  )/4x

  • The volume of the box:

V = x^{2}  h

<=> V = x^{2}  (4200 - 2x^{2}  )/4x

<=> V = (4200x - 2x^{3} )/4

  • To find the maximum volume, we differentiate volume with respect to x:

dV/dx = (4200 - 6x^{2} )/4

Set dV/dx = 0, we have:

4200 - 6x^{2} =0

<=> x^{2}  = 700

<=> x = 10\sqrt{7}

  • We differentiate again

d²V/dx² =  -12x/4

It is negative so the volume is maximum.

So x is 10\sqrt{7}

5 0
3 years ago
Find the missing side lengths. Leave your answer as radicals in simplest form.
DaniilM [7]

Answer:

Solution given:

b=9 base side of isosceles triangle

a=\sqrt{9²+9²}=9\sqrt{2}

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What is x + 2/3= -4 <br> a- x= -3 1/3<br> b- x= - 4 2/3<br> c- x= 3 1/3<br> d- x 4 2/3
KatRina [158]

Answer:

A

Step-by-step explanation:

-3 1/3 or -10/3, so A is the correct answer.

8 0
3 years ago
What is 10/10*10*10*10^2
Whitepunk [10]

Answer:

I'm guessing 1000000 but I might be wrong

3 0
3 years ago
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What is the image of (-9,0) after a reflection over the x-axis ?
Mama L [17]

Answer:

y = − f ( x ) y = -f(x) y=−f(x)  i think

Step-by-step explanation:

7 0
3 years ago
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