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Andrew [12]
3 years ago
13

2. Which algebraic expression represents the following phrase?

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
3 0

The algebraic expression which represents the square of the difference of s and 6 is (s - 6)²

Step-by-step explanation:

Let us represent some words by mathematics expressions

  • Square a number ⇒ x²
  • Square the sum of two numbers ⇒ (x + y)²
  • Sum of the squares of two numbers ⇒ x² + y²
  • Square of difference of two numbers (x - y)²
  • The difference of square two numbers x² - y²

∵ The expression is the square of the difference of s and 6

- That means find the difference between s and 6 at first,

   then square the difference

∵ The difference of s and 6 = s - 6

- Square this difference means but the difference in a bracket

   and then square the bracket

∴ The square of the difference = (s - 6)²

The algebraic expression which represents the square of the difference of s and 6 is (s - 6)²

Learn more:

You can learn more about the algebraic expressions in brainly.com/question/10771256

#LearnwithBrainly

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This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this
Leviafan [203]

The area of the composite figure is 29.92 m².

<h3>Area of Compound Shapes</h3>

This exercise requires your knowledge about the area of compound shapes. For solving this, you should:

  1. Identify the basic shapes;
  2. Calculate your individual areas;
  3. Sum each area found.

For finding the area, the steps are presented below.

  • STEP 1 - Identify the basic shapes.

      The figure of the question as informed is composed for a sector of circle and a rectangle. Therefore, you should sum the area of these geometric figures.

  • STEP 2 - Find the area of the sector of circle.

           Area of the sector of circle= \frac{\theta \cdot \pi }{360}\cdot r^2, where:

           r= 5.5 m

           Θ=30°

         Then,

                       \frac{\theta \cdot \pi }{360}\cdot r^2\\ \\ \frac{\;30\cdot \pi }{360}\cdot 5.5^2=7.92 m^2

  • STEP 3 - Find the area of the rectangle.

      Area of the rectangle=b*h . The figure shows:

        b= length of the base= 5.5 m

        h=height= 4 m

       Thus, the area of the rectangle=5.5*4=22m^2  .

  • STEP 4 - Find the composite figure

       A_{composite\; figure}=A_{sector\; circle}+A_{rectangle}\\ \\ A_{composite\; figure}=7.92+22=29.92\; m^2

Learn more about the area of compound shapes here:

brainly.com/question/15884960

6 0
2 years ago
The janitor found that it was leaking at a rate of 3 fl oz per minute.How fast was the pipe leaking in gallons per hour?
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Answer:

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Then, you would have to convert minutes to hours: 1 minute = 0.01666 hours, or 60 minutes = 1 hour.

From here, you can divide 0.03125 gal by 0.01666 hours OR multiply 0.03125 gal by 60 minutes, giving a rate of 1.87 gallons per hour.

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Lostsunrise [7]

Answer:

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Answer:

Step-by-step explanation:

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