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noname [10]
3 years ago
12

Help me out here guys

Mathematics
1 answer:
belka [17]3 years ago
8 0

9514 1404 393

Answer:

  ? = 9

Step-by-step explanation:

The segments of each of the transversals are proportional. On the left side, the bottom transversal segment will be 10 -6 = 4 units in length.

Now we can write a proportion relating right-side transversal segments to left-side transversal segments:

  ?/6 = 6/4

  ? = 6(6/4) = 36/4 = 9

The missing length is 9 units.

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For the following system, use the second equation to make a substitution for y in the first equation.
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3 years ago
2 Construct a rational function that will help solve the problem. Then, use a calculator to answer the question.
vaieri [72.5K]

Answer:

<u><em>Dimension of box:-</em></u>

Side of square base = 10 in

Height of box = 5 in

Minimum Surface area, S = 300 in²

Step-by-step explanation:

An open box with a square base is to have a volume of 500 cubic inches.

Let side of the base be x and height of the box is y

Volume of box = area of base × height

                 500=x^2y

Therefore, y=\dfrac{500}{x^2}

It is open box. The surface area of box, S .

S=x^2+4xy

Put  y=\dfrac{500}{x^2}

S(x)=x^2+\dfrac{2000}{x}

This would be rational function of surface area.

For maximum/minimum to differentiate S(x)

S'(x)=2x-\dfrac{2000}{x^2}

For critical point, S'(x)=0

2x-\dfrac{2000}{x^2}=0

x^3=1000

x=10

Put x = 10 into y=\dfrac{500}{x^2}

y = 5

Double derivative of S(x)

S''(x)=2+\dfrac{4000}{x^3} at x = 10

S''(10) > 0

Therefore, Surface is minimum at x = 10 inches

Minimum Surface area, S = 300 in²

7 0
3 years ago
In order to find constant rate, you need to use change in y ÷ change in x right?
NemiM [27]

Yes u have to and as long are you do than you would be right

3 0
3 years ago
Please I really need help on this one
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Answer:

2.5ft

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d=2r

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6 0
2 years ago
What are the coordinates of a point that is 7 strides west of (2,-1)
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The coordinates are (-5,1).
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3 years ago
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