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Murrr4er [49]
3 years ago
15

Two beakers plus their contents have a mass of 180.4 grams. The total mass of the contents is 56.8 grams. Write and solve an equ

ation to the mass of one beaker.
Mathematics
1 answer:
Anika [276]3 years ago
6 0
I don't know if I am right but I think this is the answer:
If we write beaker with x and content with y
then y=56.8/2=28.4   this is the content of one beaker
so there are two beakers:
2x+28.4=180.4
2x=180.4-28.4
2x=152/2
x=76   
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Geometry Pythagorean theorem
lara31 [8.8K]

Answer:

Below!

Step-by-step explanation:

Using Pythagoras theorem, I will solve all of the problems.

<h3>________________________________________________</h3>

<u>Question 9:</u>

  • 10² = 6² + x²
  • => 100 = 36 + x²
  • => 100 - 36 = x²
  • => 64 = x²
  • => x = 8
<h3>________________________________________________</h3>

<u>Question 10:</u>

  • 26² = 24² + x²
  • => 676 = 576 + x²
  • => 676 - 576 = x²
  • => 100 = x²
  • => x = 10
<h3>________________________________________________</h3>

<u>Question 11:</u>

  • 15² = 12² + x²
  • => 225 = 144 + x²
  • => 225 - 144 = x²
  • => 81 = x²
  • => x = 9
<h3>________________________________________________</h3>

<u>Question 12:</u>

  • x² = 8² + 12²
  • => x² = 64 + 144
  • => x² = 208
  • => x = √208
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<h3>________________________________________________</h3>

<u>Question 13:</u>

  • 7² = 2² + x²
  • => 49 = 4 + x²
  • => 49 - 4 = x²
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<h3>________________________________________________</h3>

<u>Question 14</u>

First, let's solve for the variable x using Pythagoras theorem.

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  • => 16 = x²
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Now, let's solve for the variable y using Pythagoras theorem.

  • (3 + 6)² = 5² + y²
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  • => y² = 56
  • => y = √56
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Answers (Nearest tenth):

  • x = 4 units
  • y = 7.5 units
<h3>________________________________________________</h3>

<u>Question 15:</u>

First, let's find the value of the variable y using Pythagoras theorem.

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  • => y = 5.3 (Rounded) units

Now, let's find the value of the variable x using multiplication.

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Answer (Nearest tenth)

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