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melisa1 [442]
3 years ago
5

The top of a square table is covered with four equal square tiles. If the side length of each tile is decreased by 50%, how many

tiles of the new size would be needed to cover the same table?
Mathematics
2 answers:
Valentin [98]3 years ago
6 0

top of a square table is covered with four equal square tiles


Now it says

the side length of each tile is decreased by 50%

It means if the four equal square tiles had side =2x

Now its x

It means if earlier area was 4x^2 not the area is x^2

It means we have to use 4 small tiles to make one large tile

and to make 4 large tiles , we need 4*4 = 16 small tiles.

16 tiles of the new size would be needed to cover the same table.

Elan Coil [88]3 years ago
3 0
16


4squares would fit inside each of the four squares for a total of 16.
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2. In the circle shown, secants PE and PF have been drawn such that mCE  82 , mDF  98 and the ratio 3. In circle O, tangent
Andrew [12]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The arc PR is  \theta _{PR}  = 84

Step-by-step explanation:

A descriptive diagram of the diagram given in the question is shown on the first uploaded image

  In the circle tangent  \=  {M \= Q} , secant PE and  chord PF are drawn

given that  \theta _ {MPQ} = 102^o , \theta _{M} =  60^o

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      \theta_{NPM}  =  180 -102

      \theta_{NPM}  =  78^o

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          \theta _{MNP} =  180  -[ \theta_{NMP} + \theta _{NPM}]

         \theta _{MNP} =  180  - [60 + 78 ]

         \theta _{MNP} =  42 ^o

Now the measure of an inscribed angle is half the measure of its  arc intercepted, this statement is the inscribed angle theorem

 So with the knowledge

   Then

           \theta_{RNP} =  \frac{1}{2}  \theta_{PR}

  Looking at the diagram we see that

           \theta _{MNP} = \theta_{RNP} = 42 ^o

             42 = \frac{1}{2}  \theta _{PR}

              \theta _{PR}  = 2  *  42

               \theta _{PR}  = 84

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