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Lubov Fominskaja [6]
2 years ago
9

Help me with acellus

Mathematics
2 answers:
andre [41]2 years ago
6 0

Answer: x=26

Step-by-step explanation:

4x+4+4x-32=180 degrees

8x+4-32=180 (add like terms)

8x-4+32= 8x=208

8x/208= x=26

dybincka [34]2 years ago
3 0
For the first one it is x=1 the second one X=8
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What’s the algebraic expression for 8 squared
diamong [38]

Answer:

8^2

Step-by-step explanation:

<u>Step 1:  Convert words into an expression</u>

What’s the algebraic expression for 8 squared

<em>8 squared -> </em>8^2

Answer:  8^2

<u>If needed, solve:</u>

<u />8^2

8 * 8

64

3 0
3 years ago
A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 4x. The container must contain 12ft^3
zheka24 [161]

The height of the container should be equal to 2.57 cm, so as to minimize cost.

<h3>How to calculate the height?</h3>

First of all, we would determine the volume of the rectangular container by using this formula:

Volume = l × w × h

Where:

  • l represents the length.
  • w represents the width.
  • h represents the height.

Substituting the given parameters into the formula, we have;

Volume = x × 4x × h

Volume = 4x²h

At a volume of 12 ft³, we have:

12 = 4x²h

h = 12/4x²

h = 3/x²

For the total area of top and bottom, we have:

Area = (x × 4x) + (x × 4x)

Area = 4x² + 4x²

Area = 8x² sq. units.

Thus, the cost of top and bottom is given by:

Cost = 8x² × 1.50

Cost = $12x²

For the total area of all four sides, we have:

Area = (x × h) + (x × h) + (4x × h) + (4x × h)

Area = xh + xh + 4xh + 4xh

Area = 10xh sq. units.

Thus, the cost of all four sides is given by:

Cost = 10xh × 4.50

Cost = $45xh.

Also, the cost function would be given by:

C(x) = 12x² + 10xh

C(x) = 12x² + 10x(3/x²)

C(x) = 12x² + 30/x

Taking the first derivative, we have:

dC/dx = 24x - 30/x²

24x = 30/x²

24x³ = 30

x³ = 30/24

x = 1.08

Therefore, the height will be:

h = 3/x²

h = 3/1.08²

h = 3/1.1664

Height, h = 2.57 cm.

Read more on minimum height here: brainly.com/question/27308167

#SPJ1

5 0
2 years ago
Solve 7 plus x equals 13
Paul [167]
7 + 6 = 13, so x = 6

7 0
3 years ago
Read 2 more answers
Given the equation 4x − 26 = 2x − 4, which order of operations completely solves for x?
tensa zangetsu [6.8K]
4x-26=2x-4
+26          +26
4x=2x+22
-2x  -2x
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x=11
6 0
3 years ago
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Marrrta [24]
Your answer would be C
7 0
3 years ago
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