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Nikitich [7]
3 years ago
8

Sometimes a dilation is an enlargement, and sometimes it is a reduction. Explain what types of numbers for scale factors causes

each.
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
4 0
If your scale factor has absolute value greater than 1, the dilation is an enlargement. 
<span>If your scale factor has abs value less than 1, the dilation is a reduction. </span>
<span>If the scale factor is equal to 1, the image is congruent to the preimage. 
</span>
Hope this helps.
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A rectangle has a length of 80 units and a width of 39 units. Find the length of the diagonal.
levacccp [35]
Equation = a² + b² = c²

a = 80
b = 39
c = Diagonal

a² + b² = c²
80² + 39² = c²
6400 + 1521 = c²
   c² = 7921
   c  = √7921
   c  = 89

 Answer = 89 units
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4 years ago
Which two square roots are used to estimate square root of 42?
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3 years ago
A recipe calls for 2/3 cup of milk. If you make 3 1/2 times the recipe, how much milk do you need?
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To solve this problem, we need to multiply 2/3 by 3 1/2. We do this because we are making the recipe 3 1/2 times, which means we need the amount of milk for one recipe multiplied by the amount of times you are completing the recipe. To multiply these two numbers, we first need to convert 3 1/2 to an improper fraction. To do this, we multiply the denominator by the whole number and add the numerator, while keeping the same denominator. This is modeled below:

3 1/2 = (2*3 + 1)/2 = (6+1)/2 = 7/2

Now that we have this information, we can multiply our fractions together by simply multiplying the numerators and denominators together (straight across).

2/3 * 7/2 = (2*7)/(3*2) = 14/6

To simplify this fraction, we need to divide both the numerator and the denominator by the GCF, or greatest common factor, of the two numbers. The greatest common factor is 2.

(14/2) / (6/2) = 7/3

To convert this fraction into a mixed number, we must divide, and make the remainder into a fraction.

7/3 = 2 r 1 = 2 1/3

Therefore, your answer is 2 1/3 cups of milk.

Hope this helps!

7 0
3 years ago
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The length of a rectangular plot is 8 feet more than its width. if the area of the rectangular plot is 609 square feet, which of
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Step-by-step explanation:

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