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QveST [7]
2 years ago
5

Please Help - Find the Volume

Mathematics
2 answers:
RUDIKE [14]2 years ago
7 0

Answer:

<u>1,982 ft³</u>

Step-by-step explanation:

<u>Solving</u>

<u>Volume of rectangular prism (below)</u>

  • lbh
  • 12 x 12 x 12
  • 144 x 12
  • 1728 ft³

<u>Volume of square pyramid</u>

  • 1/3Bh
  • 1/3 x 144 x √28
  • 48 x 5.29
  • 253.92

<u>Total Volume</u> : 1728 + 253.92 = 1,981.92 ft³ ≅ <u>1,982 ft³</u>

Tema [17]2 years ago
3 0

Answer:

1982  ft^3    ( rounded)

Step-by-step explanation:

The cube bottom is   12 x 12 x 12  = 1728

The pyramid top is  1/3 ( 12*12) * sqrt 28 = 253.99

added together = ~ 1982  

( you have to use the HEIGHT of the pyramid for the volume calculation      V = 1/3 *  base area * height        height = sqrt (28)  )

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vladimir2022 [97]

Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Given that the two parallel lines are crossed by a transversal line.

Given that

m∠2 = 2x + 54 and m∠6 = 6x - 11

Angle ∠2 and ∠6 are corresponding angles.

Corresponding angles are congruent.

Thus,

m∠2 = m∠6

2x + 54 = 6x - 11

flipe the equation

6x - 11 = 2x + 54

subtract 2x from both sides

6x - 2x - 11 = 2x - 2x + 54

4x - 11 = 54

adding 11 to both sides

4x - 11 + 11 = 54 + 11

4x = 65

dvide both sides by 4

4x/4 = 65/4

x = 16.2500    (round to 4 decimal places)

Part b)

We have already determined

x = 16.2500

Given

m∠2 = 2x + 54

substitute x = 16.2500 in the euation

        = 2(16.2500) + 54

        = 86.5°

As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.

i.e.

m∠1 + m∠2 = 180°

substituting m∠2 =  86.5° in the equation

m∠1 + 86.5°  = 180°

subtracting 86.5° from both sides

m∠1 + 86.5° - 86.5° = 180° - 86.5°

m∠1 = 93.5°

Therefore, the measure of angle m∠1 is:

  • m∠1 = 93.5°
4 0
3 years ago
Solve 3(4 – x) ≤ 54
algol13
3(4 - x) <= 54

12 - 3x <= 54
-3x <= 42

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3 years ago
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hjlf

Answer:

4.2% = 0.042

Step-by-step explanation:

You need to divide the percentage by 100 to get its equivalent decimal:

100% = 1 because

100 ÷ 100 = 1

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4.2% = 0.042 because

4.2 ÷ 100 = 0.042

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Answer:

A

Step-by-step explanation:

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