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galina1969 [7]
3 years ago
5

elect answers from the drop-down menus to correctly complete the statements. A scale factor of was applied to the first triangle

to get the resulting image. This scale factor is . An equilateral triangle with a side length of 1.5. An arrow points to a larger equilateral triangle with a side length of 6
Mathematics
2 answers:
zaharov [31]3 years ago
8 0

Answer:

The scale factor is equal to 4

Step-by-step explanation:

we know that

The scale factor is equal to divide the corresponding side of the resulting triangle by the corresponding side of the first triangle

Let

z----> the scale factor

x------> the corresponding side of the resulting triangle

y-----> the corresponding side of the first triangle

so

z=\frac{x}{y}

we have

x=6\ units

y=1.5\ units

substitute

z=\frac{6}{1.5}=4

4 > 1 -------> is an enlargement


snow_tiger [21]3 years ago
7 0
The scale factor is what u multiply the first image by to get the second image. So by dividing the second image by the first image will give u the scale factor.

6 / 1.5 = 4....so there is a scale factor of 4 because 1.5 * 4 = 6
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<h3>Answer:  5 cakes</h3>

================================================

Explanation:

Let's start off converting the mixed number 12 & 1/4 to an improper fraction.

a \frac{b}{c} = \frac{a*c+b}{c}\\\\12 \frac{1}{4} = \frac{12*4+1}{4}\\\\12 \frac{1}{4} = \frac{49}{4}\\\\

Do the same for the other mixed number 2 & 1/3.

a \frac{b}{c} = \frac{a*c+b}{c}\\\\2 \frac{1}{3} = \frac{2*3+1}{3}\\\\2 \frac{1}{3} = \frac{7}{3}\\\\

-----------------------

From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.

\frac{49}{4} \div \frac{7}{3} = \frac{49}{4} \times \frac{3}{7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{49\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 7\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 3}{4}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{21}{4}\\\\

The last step is to convert that result to a mixed number.

\frac{21}{4} = \frac{4*5+1}{4}\\\\\frac{21}{4} = \frac{4*5}{4}+\frac{1}{4}\\\\\frac{21}{4} = 4+\frac{1}{4}\\\\\frac{21}{4} = 5 \frac{1}{4}\\\\

Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.

-----------------------

Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.

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