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Deffense [45]
2 years ago
8

I need the function for the volume of the box for number 1

Mathematics
1 answer:
rjkz [21]2 years ago
3 0

Answer:

Step-by-step explanation:

The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height.  Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height.  Thus, the volume of this box must be

V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).  

One way of doing that is to graph V(x) and look for any local maximum of the graph.  We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of  x at which V is at a maximum.

I have provided the function that you requested.  If you'd like for us to go all the way to a solution, please repost your question.

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Can someone help geometry is confusing
NikAS [45]

<LMP and <NMP are supplementary angles so sum = 180

<LMP +  <NMP = 180

(-16x + 13) + ( - 20x + 23) = 180

-16x + 13  - 20x + 23 = 180

-36x + 36 = 180

-36x = 144

    x = -4

<LMP = -16x + 13 = -16(-4) + 13 = 77

<NMP = - 20x + 23 = - 20(-4)  + 23 = 103

Answer

<LMP  = 77°

<NMP  = 103°

5 0
3 years ago
7 2/15 + 5 2/3 +9 13/15
crimeas [40]

21+

15

2

+

3

2

+

15

13

LCD = 1515

21+

15

2

+

3×5

2×5

+

15

13

21+

15

2+10+13

21+1

15

10

22

15

10

15

10

3

2

22

3

2

done

the answer of this question is last one

4 0
2 years ago
What are the center and radius of the circle described by the equation x2 + y2 + 6x + 10y + 18 = 0?
frosja888 [35]

Answer:

Step-by-step explanation:

What are the center and radius of the circle described by the equation x2 + y2 + 6x + 10y + 18 = 0?

Center (3.5); Radius 4

Center (-3,-5); Radius 4

O Center (3,5); Radius 16

O Center (3.5); Radius 10

x² + y²+ 6x + 10y + 18 = 0

x² + 6x + y² + 10y = -18

x² + 6x + 9 + y² + 10y + 25 = -18 + 6 + 9

x² + 3x + 3x + 9 + y² + 5y + 5y + 25 = -3

5 0
3 years ago
Find the area and the circumference of a circle with a diameter 8yrd.
nalin [4]

Answer:

Part 1) The area of the circle is A=50.24\ yd^2

Part 2) The circumference of the circle is C=25.12\ yd

Step-by-step explanation:

step 1

The area of a circle is equal to

A=\pi r^{2}

we have

r=8/2=4\ yd ---> the radius is half the diameter

\pi =3.14

substitute

A=(3.14)(4)^{2}

A=50.24\ yd^2

step 2

The circumference of a circle is equal to

C=\pi D

we have

D=8\ yd

\pi =3.14

substitute

C=(3.14)8

C=25.12\ yd

3 0
3 years ago
I also need help with this​
DedPeter [7]

Answer:

10

Step-by-step explanation:

you take 2 times 5

4 0
3 years ago
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