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Stolb23 [73]
3 years ago
15

ABCDE ~ FGHIJ. Figure 2 is a dilation of figure 1, and the scale factor is 0.6. Given that FG = 12 cm, find AB.

Mathematics
2 answers:
avanturin [10]3 years ago
6 0
We known that the figures are similar if and only if the corresponding sides and and angles have the common scale factor. In this item, the scale factor is 0.6. The length of AB is determined by multiplying the length of FG with the scale factor. That is,
                            AB = FG x scale factor
                            AB = (12 cm) x 0.6
                            AB = 7.2 cm
Thus, the length of side AB is 7.2 cm. 
Bad White [126]3 years ago
4 0

The answer is 20 centimeters to find the side length of AB.

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There are two similar packages. The ratio of the volumes is 8:125. Determine the dimensions of the bigger package. The dimension
GREYUIT [131]

Step-by-step explanation:

since packages are similarsimilar packages. The ratio of the volumes is 8:125. Determine the dimensions of the bigger package. The dimensions of the smaller package are... Height= 45cm, Length= 80cm, and Width= 25cm.

Length of bigger package = <em><u>8</u></em><em><u>0</u></em><em><u>×</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>/</u></em><em><u>8</u></em><em><u>=</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>0</u></em><em><u>c</u></em><em><u>m</u></em>

Width of bigger package =<em><u>2</u></em><em><u>5</u></em><em><u>×</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>/</u></em><em><u>8</u></em><em><u>=</u></em><em><u>3</u></em><em><u>9</u></em><em><u>0</u></em><em><u>.</u></em><em><u>6</u></em><em><u>2</u></em><em><u>5</u></em><em><u>c</u></em><em><u>m</u></em>

Height of bigger package =<em><u>4</u></em><em><u>5</u></em><em><u>×</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>/</u></em><em><u>8</u></em><em><u>=</u></em><em><u>7</u></em><em><u>0</u></em><em><u>3</u></em><em><u>.</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>cm</u></em>

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2 years ago
the volume of a cone is 120 cubic centimeters. the height of the cone is 4.5 centimeters. determine the radius of a cone
kolbaska11 [484]
<h3> given:</h3>

<u>v = 120 \:  {cm}^{3}</u>

<u>h = 4.5 \: cm</u>

<h3>to find:</h3>

the radius of the cone.

<h3>solution:</h3>

r =  \sqrt{3 \frac{v}{\pi \: h} }

r =  \sqrt{3  \times   \frac{120}{\pi \times 4.5} }

r = 5.04627 \: cm

r = 5.05 \: cm

<u>hence</u><u>,</u><u> </u><u>the</u><u> </u><u>radius</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>cone</u><u> </u><u>is</u><u> </u><u>5.05</u><u> </u><u>centimeters</u><u>.</u>

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