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tiny-mole [99]
3 years ago
14

Determine the perimeter of this shape.

Mathematics
1 answer:
Sindrei [870]3 years ago
5 0

Answer: perimeter = 70.54 cm

Step-by-step explanation:

Perimeter of a shape is the distance around it.

Perimeter of the arc of the bigger semicircle is

π × r

= 3.14 × 7 = 21.98 cm

Perimeter of the arc of the smaller semicircle(handle) is

π × r

= 3.14 × 3 = 9.42 cm

Perimeter of the arc of the smallest semicircle(inner part of the handle) is

π × r

= 3.14 × 1 = 3.14 cm

Therefore, the perimeter of the shape would be

21.98 + 9.42 + 3.14 + 7 + 7 + 10 + 10 + 2 = 70.54 cm

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Lostsunrise [7]

Answer:

No solution.

Step-by-step explanation:

Step 1: Write equation

-3(-x + 4) = 5 + 3(x + 1)

Step 2: Solve for <em>x</em>

  1. Distribute: 3x - 12 = 5 + 3x + 3
  2. Combine like terms: 3x - 12 = 3x + 8
  3. Subtract 3x on both sides: -12 ≠ 8

Here, we see that <em>x</em> has to equal no solution. No value of <em>x</em> would make the equation true.

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3 years ago
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For the reaction 2Fe + O2 → 2FeO, how many grams of iron oxide are produced from 42.4 mol of iron?
Butoxors [25]

In the balanced reaction

2 Fe + O₂   →   2 FeO

2 moles of iron (Fe) react with 1 mole of molecular oxygen (O₂) to produce 2 moles of iron oxide (FeO). The ratio of Fe to FeO is 1-to-1, so if one starts with 42.4 mol of Fe, one will end up with the same amount of FeO, 42.4 mol.

Look up the molar mass of Fe and O:

• Fe = 55.845 g/mol

• O = 15.999 g/mol

Then the molar mass of FeO is approximately 71.835 g/mol, and so the mass of 42.4 mol of FeO is

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66 portions. (25 • 16) / 6
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Answer:  2 d - 3

Step-by-step explanation:

Here, the number of dozen eggs in one refrigerator = d

According to the question,

There are 3 fewer dozen eggs in another refrigerator.

⇒ The number of eggs in another refrigerator = d - 3

Thus, the total dozen of eggs in both refrigerator = the number of dozen eggs in first refrigerator + the number of dozen eggs in second refrigerator

= d + d - 3

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Which is the required expression.

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