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Mkey [24]
3 years ago
5

If the perimeter of an equilateral triangle is 36 inches what is the perimeter of it’s image under a dilation with a scale facto

r of 4
Mathematics
1 answer:
alexdok [17]3 years ago
6 0

Answer:

The perimeter of the image is 144 inches

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

so

The perimeter of the image is equal to the perimeter of the pre-image multiplied by the scale factor

36(4)=144\ inches

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40 gallons of premium antifreeze and 100 gallons of water should be used to obtain 140 gallons of a mixture that contains 20% pure antifreeze.

Step-by-step explanation:

Since a chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture, and the premium antifreeze solution contains 70% pure antifreeze, and the company wants to obtain 140 gallons of a mixture that contains 20% pure antifreeze, to To determine how many gallons of water and how many gallons of the premium antifreeze solution must be mixed, the following calculation must be performed:

50 x 0.7 + 50 x 0 = 35

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Hey there !

Check the attachment.
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Answer:

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\bf ~~~~~~~~~~~~\textit{function transformations}&#10;\\\\\\&#10;% templates&#10;f(x)=  A(  Bx+  C)+  D&#10;\\\\&#10;~~~~y=  A(  Bx+  C)+  D&#10;\\\\&#10;f(x)=  A\sqrt{  Bx+  C}+  D&#10;\\\\&#10;f(x)=  A(\mathbb{R})^{  Bx+  C}+  D&#10;\\\\&#10;f(x)=  A sin\left( B x+  C  \right)+  D&#10;\\\\&#10;--------------------

\bf \bullet \textit{ stretches or shrinks horizontally by  }   A\cdot   B\\\\&#10;\bullet \textit{ flips it upside-down if }  A\textit{ is negative}\\&#10;~~~~~~\textit{reflection over the x-axis}&#10;\\\\&#10;\bullet \textit{ flips it sideways if }  B\textit{ is negative}

\bf ~~~~~~\textit{reflection over the y-axis}&#10;\\\\&#10;\bullet \textit{ horizontal shift by }\frac{  C}{  B}\\&#10;~~~~~~if\ \frac{  C}{  B}\textit{ is negative, to the right}\\\\&#10;~~~~~~if\ \frac{  C}{  B}\textit{ is positive, to the left}\\\\&#10;\bullet \textit{ vertical shift by }  D\\&#10;~~~~~~if\   D\textit{ is negative, downwards}\\\\&#10;~~~~~~if\   D\textit{ is positive, upwards}\\\\&#10;\bullet \textit{ period of }\frac{2\pi }{  B}

now, with that template in mind, let's check this one

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B = 1, C = +3, C/B = +3/1 = +3, horizontal shift to the left of 3 units.

D = 5, vertical shift up of 5 units.
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