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Softa [21]
3 years ago
6

Multiply. Express your answer in simplest form. 7 and 1/8 x 2

Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0

Answer:

14 1/4

Step-by-step explanation:

7 1/8 * 2 is the same as 7 1/8 + 7 1/8

I converted 7 1/8 into a improper fraction: 57/8

Then I multiplied it by 2.

\frac{57}{8} * \frac{2}{1} = \frac{57}{4}

(answer is in simple form)

After that, I converted it back to a mixed fraction: 14 1/4

I hope this helps.

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A straight slide in a playground design makes an isosceles triangle with the
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Answer:

Option D.

Step-by-step explanation:

  • First, the you need ti understand that the triangle is an isosceles right angled triangle. In other words, the base and height are equal in length. The third side is the slide. This is the longest side.
  • Next, we know that the formula for calculating the area of a right angled triangle is given by:

        A = 1/2 (base × perpendicular height)

  • The perpendicular height is equal to the base. Let's say the base is <em>x</em>. It means that the height is also x, since height = base.
  • Therefore, the formula will be:

       A = 1/2 (x.x)

           =1/2 (x²)

      32 = 1/2 (x²)

     Multiplying both sides by 2 gives:

     32×2 = x²

     64  = x²

       8   = x

To find the third side, we use the Pythagoras theorem:

    C² = A² + B²

         = 8² + 8²

         = 128

   C = √128

       = 8√2

However, the answer will not be exact, so we  multiply the length of the base and height by 2. This gives x = 16 (Length of base = length of height)

Repeating the steps above gives C = √ (16)² + (16)²

                                                           = √256

This corresponds to option D.

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4 years ago
Joseph ran a 6 mile race and 48 minutes which graph has a slope that best represents the average rate of speed during the race
Ira Lisetskai [31]

Answer:

G

Step-by-step explanation:

4 0
3 years ago
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