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Lera25 [3.4K]
2 years ago
10

Please help! Due soon...

Mathematics
1 answer:
serious [3.7K]2 years ago
4 0

Answer:

1: 233 m

2: 466 m

3: 241.87 m

4: 483.72

Step-by-step explanation:

The Pythagorean Theorem states that a^2 + b^2 = c^2, in which c is the hypotenuse (in this case,  PQ and RS).

1: 105^2 + 208^2 = 54289, square root of 54289 = 233

2: Since the area of the triangle makes up half of the rectangle, multiply the area by 2 to get 466

3: 120^2 + 210^2 = 58500, square root of 58500 is 241.87

4: Multiply by 2 to get 483.72

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nataly862011 [7]

Solving the system of equations y = 1.10x + 5.00\\y = 1.50x + 3.00 we get x=5 and y=10.5

Step-by-step explanation:

We need to solve the system of equations by substitutions.

The system of equations given are:

y = 1.10x + 5.00\\y = 1.50x + 3.00

Let:

y = 1.10 x+5.00\,\,eq(1)\\y = 1.50 x+ 3.00\,\,eq(2)

Putting value of y from eq(2) into eq(1)

1.50 x+ 3.00=1.10 x+5.00\\1.50 x-1.10 x=+5.00-3.00\\0.4x=2.00\\x=2.00/0.4\\x=5

So, value of x=5

Now putting value of x in eq 1 to find value of y:

y = 1.10x + 5.00

y = 1.10(5) + 5.00

y = 5.5 + 5.00

y = 10.5

So, value of y is 10.5

Solving the system of equations y = 1.10x + 5.00\\y = 1.50x + 3.00 we get x=5 and y=10.5

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

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Step-by-step explanation:

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