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DedPeter [7]
3 years ago
15

Mrs.Smith has two similiar recycling bins in her office. The dimension of the smaller bin can be found by dilating the dimension

of the larger bin by scale factory of 0.75
Mathematics
1 answer:
nikklg [1K]3 years ago
8 0

Answer:

The dimension of the larger bin is x and the smaller bin is 0.75x.

Step-by-step explanation:

Let the dimension of the larger bin is x.

It is given that the dimension of the smaller bin can be found by dilating the dimension of the larger bin by a scale factor of 0.75

In order to find the dimension of the smaller bin multiply the dimension of the larger bin by 0.75

(x)(0.75)=0.75x

Hence, the dimension of the larger bin is x and the smaller bin is 0.75x.

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4 years ago
. Denise has multiplied (2r – 3)(2r + 3) to get 4r2 – 9. After looking at her work, Hyder says her solution must be incorrect be
makvit [3.9K]

Answer:

The answer is 4r² – 9

Denise answer is correct.

Step-by-step explanation:

One of the methods of solving the given equation [(2r – 3)(2r + 3)] is the FOIL method

Using the FOIL method (Used for multiplying binomials)

F stands for first

O stands for outer

I stands for inner

L stands for last

In this method, it means we will first multiply the first terms followed by multiplying the outer term, then multiplying the inner terms and finally, the last terms.

So, for the equation  (2r – 3)(2r + 3)

First : (2r)(2r) = 4r²

Outer : (2r)(+3) = 6r

Inner : (–3)(2r) =  – 6r

Last :  (–3)(+3) =  – 9

Adding the results we get

4r² + 6r – 6r – 9 (+6r and – 6r cancels out)

= 4r² – 9

∴ (2r – 3)(2r + 3) = 4r² – 9

Hence, Denise answer is correct

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3 years ago
In a circle, two chords that are equidistant from the center of the circle are always ___________? *
tatyana61 [14]

Answer:

option C.

Step-by-step explanation:

According to equidistant chords theorem, two chords of a circle are congruent if and only if they are equidistant from the center of the circle.

Congruent means they are equal in length.

Using equidistant chords theorem, we can fill the blank.

In a circle, two chords that are equidistant from the center of the circle are always equal in length.

Therefore, the correct option is C.

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3 years ago
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