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mestny [16]
3 years ago
8

- 6 in.

Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0

The measurement which is closest to the total surface area of the container in square inches is

A. 533.45 square inches

Step-by-step explanation:

  • Surface area of the container in square inches can be found as follows,
  • The formula to find the surface area is,
  • SA = 2(h × W) + 2(h × L) + 2(W × L)
  • SA  = 2 (18 ×6) + 2(18 × 6) + 2 (6 × 6)
  • SA  = 2 (108) + 2 (108 )+ 2(36 )
  • SA= 216 + 216 + 72
  • SA= 504 square inches
  • The measurement which is closest to the total surface area of the container in square inches is
  • A. 533.45 square inches.
  • Thus, the answer is closest to the options which is 533.45 square inches
  • The example of Surface area is, it can be used to analyse how much area is required to cover, or how much paint is required to paint the house, it tells us the amount of a product which is needed to be used.
  • Every shape has different formula to find the surface area.

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How can you use a table of data to write and graph a linear relationship?
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2 years ago
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5),
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Step-by-step explanation:

<u>Step 1:  Solve using the first point</u>

<em>(2, 28)</em>

28 = a(2)^3 + b(2)^2 + c(2) + d

28 = 8a + 4b + 2c + d

<u>Step 2:  Solve using the second point</u>

<em>(-1, -5)</em>

-5 = a(-1)^3 + b(-1)^2 + c(-1) + d

-5 = -a + b - c + d

<u>Step 3:  Solve using the third point</u>

<em>(4, 220)</em>

220 = a(4)^3 + b(4)^2 + c(4) + d

220 = 64a + 16b + 4c + d

<u>Step 4:  Solve using the fourth point</u>

<em>(-2, -20)</em>

-20 = a(-2)^3 + b(-2)^2 + c(-2) + d

-20 = -8a + 4b - 2c + d

<u>Step 5:  Combine the first and fourth equations</u>

<u />28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d

8 = 8b + 2d

8 - 8b = 8b - 8b + 2d

(8 -8b)/2 = 2d/2

4 - 4b = d

<u>Step 6:  Solve for c in the second equation</u>

-5 + 5 = -a + b - c + d + 5

0 + c = -a + b - c + c + d + 5

c = -a + b + d + 5

<u>Step 7:  Substitute d with the stuff we got in step 5</u>

c = -a + b + (4 - 4b) + 5

c = -a + b + 4 - 4b + 5

c = -a - 3b + 9

<u>Step 8:  Substitute d and c into the first equation</u>

<u />28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)

28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b

28 - 22 = 6a - 6b + 22 - 22

6 / 6 = (6a - 6b) / 6

1 + b = a - b + b

1 + b = a

<u>Step 9:  Substitute a, b, and c into the third equation</u>

220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)

220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b

220 - 100 = 60b + 100 - 100

120 / 60 = 60b / 60

2 = b

<u>Step 10:  Find a using b = 2</u>

a = b + 1

a = (2) + 1

a = 3

<u>Step 11:  Find c using a = 3 and b = 2</u>

c = -a - 3b + 9

c = -(3) - 3(2) + 9

c = -3 - 6 + 9

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<u>Step 12:  Find d using b = 2</u>

d = 4 - 4b

d = 4 - 4(2)

d = 4 - 8

d = -4

Answer:  a = 3, b = 2, c = 0,d = -4

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What is the cube root of -729a^9 b^6?
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Answer:

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Step-by-step explanation:

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AQ = (x - 1, y + 5)

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AQ:QC = 1:5

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y = -24/6 = -4

Then answer is Q (2.5, -4)

6 0
2 years ago
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