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r-ruslan [8.4K]
3 years ago
11

210 students were asked whether they want to go to a water park or a roller skating rink for a class party. 50 students are girl

s who want to go to the water park. 45 students are girls who want to go skating. 60 students are boys who want to go to the water park. Answer the questions to analyze the data. 1. Use the given information to fill in the two-way table.

Mathematics
1 answer:
serg [7]3 years ago
4 0
Boys: 60 want to go to the water park, 55 want to go skating. 115 boys total

Girls: 50 want to go to the water park, 45 want to go skating. 95 girls total
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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
  • => x = 14.2 (Rounded)
<h3>________________________________________________</h3>

<u>Question 13:</u>

  • 7² = 2² + x²
  • => 49 = 4 + x²
  • => 49 - 4 = x²
  • => 45 = x²
  • => x = √45
  • => x = 6.7 (Rounded)
<h3>________________________________________________</h3>

<u>Question 14</u>

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

  • => 5² = 3² + x²
  • => 25 = 9 + x²
  • => 16 = x²
  • => x = 4 units

Now, let's solve for the variable y using Pythagoras theorem.

  • (3 + 6)² = 5² + y²
  • => (9)² = 25 + y²
  • => 81 = 25 + y²
  • => y² = 56
  • => y = √56
  • => y = 7.5 (Rounded) units

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.

  • 8² = 6² + y²
  • => 64 = 36 + y²
  • => 28 = y²
  • => y = √28
  • => y = 5.3 (Rounded) units

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

  • x = 2y
  • => x = 2(5.3)
  • => x = 10.6 units

Answer (Nearest tenth)

  • x = 10.6 units
  • y = 5.3 units
<h3>________________________________________________</h3>
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2 years ago
Make a table of values, then graph.<br><br> y = 2x + 1
hram777 [196]
I put the answer below in the picture!

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Can you open the lock? 682 - one digit is correct and in the correct place. 694- one digit is correct but in the wrong place. 25
eduard
The code for the lock is 362
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A game costs x dollars. You have 60% of the total price saved. Write an expression that represents the amount of money you have
nadya68 [22]

Answer:

قیمت یک بازی x دلار است. شما 60٪ از کل قیمت پس انداز شده دارید. عبارتی بنویسید که نشان دهنده میزان پولی است که پس انداز کرده اید؟

60/x

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2 years ago
Find the radius and the diameter of the circle
hichkok12 [17]

Answer:

26 inches is diameter

Step-by-step explanation:

d=2r

d=2×13

d=26

4 0
2 years ago
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