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enot [183]
3 years ago
15

Please answer question now

Mathematics
1 answer:
Radda [10]3 years ago
5 0

Answer:

TU and TS (with arrows on top)

Step-by-step explanation:

The sides of any angle are rays. This are half lines, which in your case both start at the point T, and one goes towards point U, while the other one goes from toward point S. So I would write TU (with a little arrow symbol on top). and in the other box I would write TS also with a little arrow symbol on top.

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You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v=8000. Find the dimensions which minimize the
Inga [223]

Answer:

20 by 20 by 20

Step-by-step explanation:

Let the total surface of the rectangular box be expressed as S = 2xy + 2yz + 2xz

x is the length of the box

y is the width and

z is the height of the box.

S = 2xy + 2yz + 2xz ... 1

Given the volume V = xyz = 8000 ... 2

From equation 2;

z = 8000/xy

Substituting into equation 1;

S = 2xy + 2y(8000/xy)+ 2x(8000/xy)

S = 2xy+16000/x+16000/y

Differentiating the resulting equation with respect to x and y will give;

dS/dx = 2y + (-16000x⁻²)

dS/dx = 2y - 16000/x²

Similarly,

dS/dy = 2x  + (-160000y⁻²)

dS/dy = 2x - 16000/y²

Note that at the turning point, ds/dx = 0 and ds/dy = 0, hence;

2y - 16000/x² = 0 and 2x - 16000/y² = 0

2y = 16000/x² and 2x = 16000/y²

2y = 16000/(8000/y²)²

2y = 16000×y⁴/64,000,000

2y = y⁴/4000

y³ = 8000

y =³√8000

y = 20

Given 2x = 16000/y²

2x = 16000/20²

2x = 16000/400

2x = 40

x = 20

Since Volume of the box is V = xyz

8000 = 20(20)z

8000 = 400z

z = 8000/400

z = 20

Hence, the dimensions which minimize the surface area of this box is 20 by 20 by 20.

3 0
3 years ago
Give examples of two substances that look similar, but have different properties.
gogolik [260]

Answer:

Water and alcohol

Step-by-step explanation:

They are both a clear liquid. However, their properties are very different. Here are a few of the things that set them apart.

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3 years ago
A pie cut into 8 equal slices. if ruben ate 3/4 of the pie how many slices did he eat
Ray Of Light [21]

Answer:

6

Step-by-step explanation:

Half of eight = four

3/4

Double three = six

4 0
2 years ago
Hii pls help i’ll give you brainliest if you give a correct answer.
Maksim231197 [3]

Answer:

19.375

Step-by-step explanation:

8 0
3 years ago
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Diegos uncle sells computers. In addition to his wages, he gets paid 20% of the amount he sells
Ivahew [28]

Answer:

Answer:

Diego's uncle earned $600 because he told $3000 worth of computers.

Step-by-step explanation:

100% divided by 20% = 5

$600 x 5 = $3000

I hope this helps!

Step-by-step explanation:

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2 years ago
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