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atroni [7]
2 years ago
14

Ann made a scale drawing of a theater. The scale she used was 1 inch : 7 feet. The stage is

Mathematics
1 answer:
hjlf2 years ago
4 0

Answer:

  • 4 in

Step-by-step explanation:

<u>Use ratios and solve:</u>

  • 1 in ÷ 7 ft = x in ÷ 28 ft
  • x = 28/7 in
  • x = 4 in
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Solution: For finding QR we need to apply Pythagoras Theorem

What is Pythagoras Theorem ?

ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°

According to this law let's apply it in the diagram shown here.

  • (Hypotenuse)² = (Adjacent)² + (Opposite)²

  • (PR)² = (QR)² + (PQ)²

  • (5x - 2)² = (QR)² + (3x - 1)²

  • (QR)² = (5x - 2)² - (3x - 1)²

After factorising both of them we get

  • (QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)

  • (QR)² = 25x² - 20x + 4 - 9x² + 6x - 1

  • (QR)² = 16x² - 14x + 3

  • QR = √(16x² - 14x + 3)

So, QR is √(16x² - 14x + 3)

8 0
3 years ago
16 is what percent of 50?
vovikov84 [41]

Answer:

32

Step-by-step explanation:

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2 years ago
A deposit of $4,500 at 5% for 3 years:
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